TY - THES A1 - Flöter, André T1 - Analyzing biological expression data based on decision tree induction T1 - Analyse biologischer Expressionsdaten mit Hilfe von Entscheidungsbauminduktion N2 - Modern biological analysis techniques supply scientists with various forms of data. One category of such data are the so called "expression data". These data indicate the quantities of biochemical compounds present in tissue samples. Recently, expression data can be generated at a high speed. This leads in turn to amounts of data no longer analysable by classical statistical techniques. Systems biology is the new field that focuses on the modelling of this information. At present, various methods are used for this purpose. One superordinate class of these meth­ods is machine learning. Methods of this kind had, until recently, predominantly been used for classification and prediction tasks. This neglected a powerful secondary benefit: the ability to induce interpretable models. Obtaining such models from data has become a key issue within Systems biology. Numerous approaches have been proposed and intensively discussed. This thesis focuses on the examination and exploitation of one basic technique: decision trees. The concept of comparing sets of decision trees is developed. This method offers the pos­sibility of identifying significant thresholds in continuous or discrete valued attributes through their corresponding set of decision trees. Finding significant thresholds in attributes is a means of identifying states in living organisms. Knowing about states is an invaluable clue to the un­derstanding of dynamic processes in organisms. Applied to metabolite concentration data, the proposed method was able to identify states which were not found with conventional techniques for threshold extraction. A second approach exploits the structure of sets of decision trees for the discovery of com­binatorial dependencies between attributes. Previous work on this issue has focused either on expensive computational methods or the interpretation of single decision trees ­ a very limited exploitation of the data. This has led to incomplete or unstable results. That is why a new method is developed that uses sets of decision trees to overcome these limitations. Both the introduced methods are available as software tools. They can be applied consecu­tively or separately. That way they make up a package of analytical tools that usefully supplement existing methods. By means of these tools, the newly introduced methods were able to confirm existing knowl­edge and to suggest interesting and new relationships between metabolites. N2 - Neuere biologische Analysetechniken liefern Forschern verschiedenste Arten von Daten. Eine Art dieser Daten sind die so genannten "Expressionsdaten". Sie geben die Konzentrationen biochemischer Inhaltsstoffe in Gewebeproben an. Neuerdings können Expressionsdaten sehr schnell erzeugt werden. Das führt wiederum zu so großen Datenmengen, dass sie nicht mehr mit klassischen statistischen Verfahren analysiert werden können. "System biology" ist eine neue Disziplin, die sich mit der Modellierung solcher Information befasst. Zur Zeit werden dazu verschiedenste Methoden benutzt. Eine Superklasse dieser Methoden ist das maschinelle Lernen. Dieses wurde bis vor kurzem ausschließlich zum Klassifizieren und zum Vorhersagen genutzt. Dabei wurde eine wichtige zweite Eigenschaft vernachlässigt, nämlich die Möglichkeit zum Erlernen von interpretierbaren Modellen. Die Erstellung solcher Modelle hat mittlerweile eine Schlüsselrolle in der "Systems biology" erlangt. Es sind bereits zahlreiche Methoden dazu vorgeschlagen und diskutiert worden. Die vorliegende Arbeit befasst sich mit der Untersuchung und Nutzung einer ganz grundlegenden Technik: den Entscheidungsbäumen. Zunächst wird ein Konzept zum Vergleich von Baummengen entwickelt, welches das Erkennen bedeutsamer Schwellwerte in reellwertigen Daten anhand ihrer zugehörigen Entscheidungswälder ermöglicht. Das Erkennen solcher Schwellwerte dient dem Verständnis von dynamischen Abläufen in lebenden Organismen. Bei der Anwendung dieser Technik auf metabolische Konzentrationsdaten wurden bereits Zustände erkannt, die nicht mit herkömmlichen Techniken entdeckt werden konnten. Ein zweiter Ansatz befasst sich mit der Auswertung der Struktur von Entscheidungswäldern zur Entdeckung von kombinatorischen Abhängigkeiten zwischen Attributen. Bisherige Arbeiten hierzu befassten sich vornehmlich mit rechenintensiven Verfahren oder mit einzelnen Entscheidungsbäumen, eine sehr eingeschränkte Ausbeutung der Daten. Das führte dann entweder zu unvollständigen oder instabilen Ergebnissen. Darum wird hier eine Methode entwickelt, die Mengen von Entscheidungsbäumen nutzt, um diese Beschränkungen zu überwinden. Beide vorgestellten Verfahren gibt es als Werkzeuge für den Computer, die entweder hintereinander oder einzeln verwendet werden können. Auf diese Weise stellen sie eine sinnvolle Ergänzung zu vorhandenen Analyswerkzeugen dar. Mit Hilfe der bereitgestellten Software war es möglich, bekanntes Wissen zu bestätigen und interessante neue Zusammenhänge im Stoffwechsel von Pflanzen aufzuzeigen. KW - Molekulare Bioinformatik KW - Maschinelles Lernen KW - Entscheidungsbäume KW - machine learning KW - decision trees KW - computational biology Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-6416 ER - TY - THES A1 - Gebser, Martin T1 - Proof theory and algorithms for answer set programming T1 - Beweistheorie und Algorithmen für die Antwortmengenprogrammierung N2 - Answer Set Programming (ASP) is an emerging paradigm for declarative programming, in which a computational problem is specified by a logic program such that particular models, called answer sets, match solutions. ASP faces a growing range of applications, demanding for high-performance tools able to solve complex problems. ASP integrates ideas from a variety of neighboring fields. In particular, automated techniques to search for answer sets are inspired by Boolean Satisfiability (SAT) solving approaches. While the latter have firm proof-theoretic foundations, ASP lacks formal frameworks for characterizing and comparing solving methods. Furthermore, sophisticated search patterns of modern SAT solvers, successfully applied in areas like, e.g., model checking and verification, are not yet established in ASP solving. We address these deficiencies by, for one, providing proof-theoretic frameworks that allow for characterizing, comparing, and analyzing approaches to answer set computation. For another, we devise modern ASP solving algorithms that integrate and extend state-of-the-art techniques for Boolean constraint solving. We thus contribute to the understanding of existing ASP solving approaches and their interconnections as well as to their enhancement by incorporating sophisticated search patterns. The central idea of our approach is to identify atomic as well as composite constituents of a propositional logic program with Boolean variables. This enables us to describe fundamental inference steps, and to selectively combine them in proof-theoretic characterizations of various ASP solving methods. In particular, we show that different concepts of case analyses applied by existing ASP solvers implicate mutual exponential separations regarding their best-case complexities. We also develop a generic proof-theoretic framework amenable to language extensions, and we point out that exponential separations can likewise be obtained due to case analyses on them. We further exploit fundamental inference steps to derive Boolean constraints characterizing answer sets. They enable the conception of ASP solving algorithms including search patterns of modern SAT solvers, while also allowing for direct technology transfers between the areas of ASP and SAT solving. Beyond the search for one answer set of a logic program, we address the enumeration of answer sets and their projections to a subvocabulary, respectively. The algorithms we develop enable repetition-free enumeration in polynomial space without being intrusive, i.e., they do not necessitate any modifications of computations before an answer set is found. Our approach to ASP solving is implemented in clasp, a state-of-the-art Boolean constraint solver that has successfully participated in recent solver competitions. Although we do here not address the implementation techniques of clasp or all of its features, we present the principles of its success in the context of ASP solving. N2 - Antwortmengenprogrammierung (engl. Answer Set Programming; ASP) ist ein Paradigma zum deklarativen Problemlösen, wobei Problemstellungen durch logische Programme beschrieben werden, sodass bestimmte Modelle, Antwortmengen genannt, zu Lösungen korrespondieren. Die zunehmenden praktischen Anwendungen von ASP verlangen nach performanten Werkzeugen zum Lösen komplexer Problemstellungen. ASP integriert diverse Konzepte aus verwandten Bereichen. Insbesondere sind automatisierte Techniken für die Suche nach Antwortmengen durch Verfahren zum Lösen des aussagenlogischen Erfüllbarkeitsproblems (engl. Boolean Satisfiability; SAT) inspiriert. Letztere beruhen auf soliden beweistheoretischen Grundlagen, wohingegen es für ASP kaum formale Systeme gibt, um Lösungsmethoden einheitlich zu beschreiben und miteinander zu vergleichen. Weiterhin basiert der Erfolg moderner Verfahren zum Lösen von SAT entscheidend auf fortgeschrittenen Suchtechniken, die in gängigen Methoden zur Antwortmengenberechnung nicht etabliert sind. Diese Arbeit entwickelt beweistheoretische Grundlagen und fortgeschrittene Suchtechniken im Kontext der Antwortmengenberechnung. Unsere formalen Beweissysteme ermöglichen die Charakterisierung, den Vergleich und die Analyse vorhandener Lösungsmethoden für ASP. Außerdem entwerfen wir moderne Verfahren zum Lösen von ASP, die fortgeschrittene Suchtechniken aus dem SAT-Bereich integrieren und erweitern. Damit trägt diese Arbeit sowohl zum tieferen Verständnis von Lösungsmethoden für ASP und ihrer Beziehungen untereinander als auch zu ihrer Verbesserung durch die Erschließung fortgeschrittener Suchtechniken bei. Die zentrale Idee unseres Ansatzes besteht darin, Atome und komposite Konstrukte innerhalb von logischen Programmen gleichermaßen mit aussagenlogischen Variablen zu assoziieren. Dies ermöglicht die Isolierung fundamentaler Inferenzschritte, die wir in formalen Charakterisierungen von Lösungsmethoden für ASP selektiv miteinander kombinieren können. Darauf aufbauend zeigen wir, dass unterschiedliche Einschränkungen von Fallunterscheidungen zwangsläufig zu exponentiellen Effizienzunterschieden zwischen den charakterisierten Methoden führen. Wir generalisieren unseren beweistheoretischen Ansatz auf logische Programme mit erweiterten Sprachkonstrukten und weisen analytisch nach, dass das Treffen bzw. Unterlassen von Fallunterscheidungen auf solchen Konstrukten ebenfalls exponentielle Effizienzunterschiede bedingen kann. Die zuvor beschriebenen fundamentalen Inferenzschritte nutzen wir zur Extraktion inhärenter Bedingungen, denen Antwortmengen genügen müssen. Damit schaffen wir eine Grundlage für den Entwurf moderner Lösungsmethoden für ASP, die fortgeschrittene, ursprünglich für SAT konzipierte, Suchtechniken mit einschließen und darüber hinaus einen transparenten Technologietransfer zwischen Verfahren zum Lösen von ASP und SAT erlauben. Neben der Suche nach einer Antwortmenge behandeln wir ihre Aufzählung, sowohl für gesamte Antwortmengen als auch für Projektionen auf ein Subvokabular. Hierfür entwickeln wir neuartige Methoden, die wiederholungsfreies Aufzählen in polynomiellem Platz ermöglichen, ohne die Suche zu beeinflussen und ggf. zu behindern, bevor Antwortmengen berechnet wurden. KW - Wissensrepräsentation und -verarbeitung KW - Antwortmengenprogrammierung KW - Beweistheorie KW - Algorithmen KW - Knowledge Representation and Reasoning KW - Answer Set Programming KW - Proof Theory KW - Algorithms Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-55425 ER - TY - JOUR A1 - Durzinsky, Markus A1 - Marwan, Wolfgang A1 - Ostrowski, Max A1 - Schaub, Torsten A1 - Wagler, Annegret T1 - Automatic network reconstruction using ASP JF - Theory and practice of logic programming N2 - Building biological models by inferring functional dependencies from experimental data is an important issue in Molecular Biology. To relieve the biologist from this traditionally manual process, various approaches have been proposed to increase the degree of automation. However, available approaches often yield a single model only, rely on specific assumptions, and/or use dedicated, heuristic algorithms that are intolerant to changing circumstances or requirements in the view of the rapid progress made in Biotechnology. Our aim is to provide a declarative solution to the problem by appeal to Answer Set Programming (ASP) overcoming these difficulties. We build upon an existing approach to Automatic Network Reconstruction proposed by part of the authors. This approach has firm mathematical foundations and is well suited for ASP due to its combinatorial flavor providing a characterization of all models explaining a set of experiments. The usage of ASP has several benefits over the existing heuristic algorithms. First, it is declarative and thus transparent for biological experts. Second, it is elaboration tolerant and thus allows for an easy exploration and incorporation of biological constraints. Third, it allows for exploring the entire space of possible models. Finally, our approach offers an excellent performance, matching existing, special-purpose systems. Y1 - 2011 U6 - https://doi.org/10.1017/S1471068411000287 SN - 1471-0684 VL - 11 SP - 749 EP - 766 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Gebser, Martin A1 - Schaub, Torsten T1 - Tableau calculi for logic programs under answer set semantics JF - ACM transactions on computational logic N2 - We introduce formal proof systems based on tableau methods for analyzing computations in Answer Set Programming (ASP). Our approach furnishes fine-grained instruments for characterizing operations as well as strategies of ASP solvers. The granularity is detailed enough to capture a variety of propagation and choice methods of algorithms used for ASP solving, also incorporating SAT-based and conflict-driven learning approaches to some extent. This provides us with a uniform setting for identifying and comparing fundamental properties of ASP solving approaches. In particular, we investigate their proof complexities and show that the run-times of best-case computations can vary exponentially between different existing ASP solvers. Apart from providing a framework for comparing ASP solving approaches, our characterizations also contribute to their understanding by pinning down the constitutive atomic operations. Furthermore, our framework is flexible enough to integrate new inference patterns, and so to study their relation to existing ones. To this end, we generalize our approach and provide an extensible basis aiming at a modular incorporation of additional language constructs. This is exemplified by augmenting our basic tableau methods with cardinality constraints and disjunctions. KW - Theory KW - Answer Set Programming KW - tableau calculi KW - proof complexity Y1 - 2013 U6 - https://doi.org/10.1145/2480759.2480767 SN - 1529-3785 VL - 14 IS - 2 PB - Association for Computing Machinery CY - New York ER - TY - JOUR A1 - Ostrowski, Max A1 - Schaub, Torsten T1 - ASP modulo CSP The clingcon system JF - Theory and practice of logic programming N2 - We present the hybrid ASP solver clingcon, combining the simple modeling language and the high performance Boolean solving capacities of Answer Set Programming (ASP) with techniques for using non-Boolean constraints from the area of Constraint Programming (CP). The new clingcon system features an extended syntax supporting global constraints and optimize statements for constraint variables. The major technical innovation improves the interaction between ASP and CP solver through elaborated learning techniques based on irreducible inconsistent sets. A broad empirical evaluation shows that these techniques yield a performance improvement of an order of magnitude. Y1 - 2012 U6 - https://doi.org/10.1017/S1471068412000142 SN - 1471-0684 VL - 12 SP - 485 EP - 503 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Brewka, Gerhard A1 - Ellmauthaler, Stefan A1 - Kern-Isberner, Gabriele A1 - Obermeier, Philipp A1 - Ostrowski, Max A1 - Romero, Javier A1 - Schaub, Torsten A1 - Schieweck, Steffen T1 - Advanced solving technology for dynamic and reactive applications JF - Künstliche Intelligenz Y1 - 2018 U6 - https://doi.org/10.1007/s13218-018-0538-8 SN - 0933-1875 SN - 1610-1987 VL - 32 IS - 2-3 SP - 199 EP - 200 PB - Springer CY - Heidelberg ER - TY - JOUR A1 - Gebser, Martin A1 - Schaub, Torsten A1 - Thiele, Sven T1 - GrinGo : a new grounder for answer set programming Y1 - 2007 SN - 978-3-540- 72199-4 ER - TY - JOUR A1 - Besnard, Philippe A1 - Schaub, Torsten T1 - An approach to context-based default reasoning Y1 - 1995 SN - 0169-2968 ER - TY - THES A1 - Lindauer, T. Marius T1 - Algorithm selection, scheduling and configuration of Boolean constraint solvers N2 - Boolean constraint solving technology has made tremendous progress over the last decade, leading to industrial-strength solvers, for example, in the areas of answer set programming (ASP), the constraint satisfaction problem (CSP), propositional satisfiability (SAT) and satisfiability of quantified Boolean formulas (QBF). However, in all these areas, there exist multiple solving strategies that work well on different applications; no strategy dominates all other strategies. Therefore, no individual solver shows robust state-of-the-art performance in all kinds of applications. Additionally, the question arises how to choose a well-performing solving strategy for a given application; this is a challenging question even for solver and domain experts. One way to address this issue is the use of portfolio solvers, that is, a set of different solvers or solver configurations. We present three new automatic portfolio methods: (i) automatic construction of parallel portfolio solvers (ACPP) via algorithm configuration,(ii) solving the $NP$-hard problem of finding effective algorithm schedules with Answer Set Programming (aspeed), and (iii) a flexible algorithm selection framework (claspfolio2) allowing for fair comparison of different selection approaches. All three methods show improved performance and robustness in comparison to individual solvers on heterogeneous instance sets from many different applications. Since parallel solvers are important to effectively solve hard problems on parallel computation systems (e.g., multi-core processors), we extend all three approaches to be effectively applicable in parallel settings. We conducted extensive experimental studies different instance sets from ASP, CSP, MAXSAT, Operation Research (OR), SAT and QBF that indicate an improvement in the state-of-the-art solving heterogeneous instance sets. Last but not least, from our experimental studies, we deduce practical advice regarding the question when to apply which of our methods. N2 - Bool'sche Solver Technologie machte enormen Fortschritt im letzten Jahrzehnt, was beispielsweise zu industrie-relevanten Solvern auf der Basis von Antwortmengenprogrammierung (ASP), dem Constraint Satisfcation Problem (CSP), dem Erfüllbarkeitsproblem für aussagenlogische Formeln (SAT) und dem Erfüllbarkeitsproblem für quantifizierte boolesche Formeln (QBF) führte. Allerdings gibt es in all diesen Bereichen verschiedene Lösungsstrategien, welche bei verschiedenen Anwendungen unterschiedlich effizient sind. Dabei gibt es keine einzelne Strategie, die alle anderen Strategien dominiert. Das führt dazu, dass es keinen robusten Solver für das Lösen von allen möglichen Anwendungsprobleme gibt. Die Wahl der richtigen Strategie für eine neue Anwendung ist eine herausforderne Problemstellung selbst für Solver- und Anwendungsexperten. Eine Möglichkeit, um Solver robuster zu machen, sind Portfolio-Ansätze. Wir stellen drei automatisch einsetzbare Portfolio-Ansätze vor: (i) automatische Konstruktion von parallelen Portfolio-Solvern (ACPP) mit Algorithmen-Konfiguration, (ii) das Lösen des $NP$-harten Problems zur Algorithmen-Ablaufplanung (aspeed) mit ASP, und (iii) ein flexibles Algorithmen-Selektionsframework (claspfolio2), was viele Techniken von Algorithmen-Selektion parametrisiert implementiert und eine faire Vergleichbarkeit zwischen Ihnen erlaubt. Alle drei Methoden verbessern die Robustheit des Solvingprozesses für heterogenen Instanzmengen bestehend aus unterschiedlichsten Anwendungsproblemen. Parallele Solver sind zunehmend der Schlüssel zum effektiven Lösen auf multi-core Maschinen. Daher haben wir all unsere Ansätze auch für den Einsatz auf parallelen Architekturen erweitert. Umfangreiche Experimente auf ASP, CSP, MAXSAT, Operation Research (OR), SAT und QBF zeigen, dass der Stand der Technik durch verbesserte Performanz auf heterogenen Instanzmengen verbessert wurde. Auf Grundlage dieser Experimente leiten wir auch Ratschläge ab, in welchen Anwendungsszenarien welches unserer Verfahren angewendet werden sollte. T2 - Algorithmen-Selektion, -Ablaufplanung und -Konfiguration von Bool'schen Constraint Solvern KW - algorithm configuration KW - algorithm scheduling KW - algorithm selection KW - parallel solving KW - Boolean constraint solver KW - Algorithmenselektion KW - Algorithmenablaufplanung KW - Algorithmenkonfiguration KW - paralleles Lösen Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-71260 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Liu, Daphne H. A1 - Schaub, Torsten A1 - Thiele, Sven T1 - COBA 2.0 : a consistency-based belief change system Y1 - 2006 UR - http://www2.in.tu-clausthal.de/~tmbehrens/NMR_Proc_TR4.pdf ER - TY - JOUR A1 - Lindauer, Marius A1 - Hoos, Holger H. A1 - Hutter, Frank A1 - Schaub, Torsten T1 - An automatically configured algorithm selector JF - The journal of artificial intelligence research N2 - Algorithm selection (AS) techniques - which involve choosing from a set of algorithms the one expected to solve a given problem instance most efficiently - have substantially improved the state of the art in solving many prominent AI problems, such as SAT, CSP, ASP, MAXSAT and QBF. Although several AS procedures have been introduced, not too surprisingly, none of them dominates all others across all AS scenarios. Furthermore, these procedures have parameters whose optimal values vary across AS scenarios. This holds specifically for the machine learning techniques that form the core of current AS procedures, and for their hyperparameters. Therefore, to successfully apply AS to new problems, algorithms and benchmark sets, two questions need to be answered: (i) how to select an AS approach and (ii) how to set its parameters effectively. We address both of these problems simultaneously by using automated algorithm configuration. Specifically, we demonstrate that we can automatically configure claspfolio 2, which implements a large variety of different AS approaches and their respective parameters in a single, highly-parameterized algorithm framework. Our approach, dubbed AutoFolio, allows researchers and practitioners across a broad range of applications to exploit the combined power of many different AS methods. We demonstrate AutoFolio can significantly improve the performance of claspfolio 2 on 8 out of the 13 scenarios from the Algorithm Selection Library, leads to new state-of-the-art algorithm selectors for 7 of these scenarios, and matches state-of-the-art performance (statistically) on all other scenarios. Compared to the best single algorithm for each AS scenario, AutoFolio achieves average speedup factors between 1.3 and 15.4. Y1 - 2015 SN - 1076-9757 SN - 1943-5037 VL - 53 SP - 745 EP - 778 PB - AI Access Foundation CY - Marina del Rey ER - TY - JOUR A1 - Hoos, Holger A1 - Lindauer, Marius A1 - Schaub, Torsten T1 - claspfolio 2 BT - advances in algorithm selection for answer set programming JF - Theory and practice of logic programming N2 - Building on the award-winning, portfolio-based ASP solver claspfolio, we present claspfolio 2, a modular and open solver architecture that integrates several different portfolio-based algorithm selection approaches and techniques. The claspfolio 2 solver framework supports various feature generators, solver selection approaches, solver portfolios, as well as solver-schedule-based pre-solving techniques. The default configuration of claspfolio 2 relies on a light-weight version of the ASP solver clasp to generate static and dynamic instance features. The flexible open design of claspfolio 2 is a distinguishing factor even beyond ASP. As such, it provides a unique framework for comparing and combining existing portfolio-based algorithm selection approaches and techniques in a single, unified framework. Taking advantage of this, we conducted an extensive experimental study to assess the impact of different feature sets, selection approaches and base solver portfolios. In addition to gaining substantial insights into the utility of the various approaches and techniques, we identified a default configuration of claspfolio 2 that achieves substantial performance gains not only over clasp's default configuration and the earlier version of claspfolio, but also over manually tuned configurations of clasp. Y1 - 2014 U6 - https://doi.org/10.1017/S1471068414000210 SN - 1471-0684 SN - 1475-3081 VL - 14 SP - 569 EP - 585 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Tran, Son Cao A1 - Pontelli, Enrico A1 - Balduccini, Marcello A1 - Schaub, Torsten T1 - Answer set planning BT - a survey JF - Theory and practice of logic programming N2 - Answer Set Planning refers to the use of Answer Set Programming (ASP) to compute plans, that is, solutions to planning problems, that transform a given state of the world to another state. The development of efficient and scalable answer set solvers has provided a significant boost to the development of ASP-based planning systems. This paper surveys the progress made during the last two and a half decades in the area of answer set planning, from its foundations to its use in challenging planning domains. The survey explores the advantages and disadvantages of answer set planning. It also discusses typical applications of answer set planning and presents a set of challenges for future research. KW - planning KW - knowledge representation and reasoning KW - logic programming Y1 - 2022 U6 - https://doi.org/10.1017/S1471068422000072 SN - 1471-0684 SN - 1475-3081 PB - Cambridge University Press CY - New York ER - TY - JOUR A1 - Brain, Martin A1 - Gebser, Martin A1 - Pührer, Jörg A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Woltran, Stefan T1 - Debugging ASP programs by means of ASP Y1 - 2007 SN - 978-3-540- 72199-4 ER - TY - JOUR A1 - Schaub, Torsten A1 - Woltran, Stefan T1 - Answer set programming unleashed! JF - Künstliche Intelligenz N2 - Answer Set Programming faces an increasing popularity for problem solving in various domains. While its modeling language allows us to express many complex problems in an easy way, its solving technology enables their effective resolution. In what follows, we detail some of the key factors of its success. Answer Set Programming [ASP; Brewka et al. Commun ACM 54(12):92–103, (2011)] is seeing a rapid proliferation in academia and industry due to its easy and flexible way to model and solve knowledge-intense combinatorial (optimization) problems. To this end, ASP offers a high-level modeling language paired with high-performance solving technology. As a result, ASP systems provide out-off-the-box, general-purpose search engines that allow for enumerating (optimal) solutions. They are represented as answer sets, each being a set of atoms representing a solution. The declarative approach of ASP allows a user to concentrate on a problem’s specification rather than the computational means to solve it. This makes ASP a prime candidate for rapid prototyping and an attractive tool for teaching key AI techniques since complex problems can be expressed in a succinct and elaboration tolerant way. This is eased by the tuning of ASP’s modeling language to knowledge representation and reasoning (KRR). The resulting impact is nicely reflected by a growing range of successful applications of ASP [Erdem et al. AI Mag 37(3):53–68, 2016; Falkner et al. Industrial applications of answer set programming. K++nstliche Intelligenz (2018)] Y1 - 2018 U6 - https://doi.org/10.1007/s13218-018-0550-z SN - 0933-1875 SN - 1610-1987 VL - 32 IS - 2-3 SP - 105 EP - 108 PB - Springer CY - Heidelberg ER - TY - GEN A1 - Brewka, Gerhard A1 - Schaub, Torsten A1 - Woltran, Stefan T1 - Interview with Gerhard Brewka T2 - Künstliche Intelligenz N2 - This interview with Gerhard Brewka was conducted by correspondance in May 2018. The question set was compiled by Torsten Schaub and Stefan Woltran. Y1 - 2018 U6 - https://doi.org/10.1007/s13218-018-0549-5 SN - 0933-1875 SN - 1610-1987 VL - 32 IS - 2-3 SP - 219 EP - 221 PB - Springer CY - Heidelberg ER - TY - GEN A1 - Schaub, Torsten A1 - Woltran, Stefan T1 - Special issue on answer set programming T2 - Künstliche Intelligenz Y1 - 2018 U6 - https://doi.org/10.1007/s13218-018-0554-8 SN - 0933-1875 SN - 1610-1987 VL - 32 IS - 2-3 SP - 101 EP - 103 PB - Springer CY - Heidelberg ER - TY - GEN A1 - Schäpers, Björn A1 - Niemueller, Tim A1 - Lakemeyer, Gerhard A1 - Gebser, Martin A1 - Schaub, Torsten T1 - ASP-Based Time-Bounded Planning for Logistics Robots T2 - Twenty-Eighth International Conference on Automated Planning and Scheduling (ICAPS 2018) N2 - Manufacturing industries are undergoing a major paradigm shift towards more autonomy. Automated planning and scheduling then becomes a necessity. The Planning and Execution Competition for Logistics Robots in Simulation held at ICAPS is based on this scenario and provides an interesting testbed. However, the posed problem is challenging as also demonstrated by the somewhat weak results in 2017. The domain requires temporal reasoning and dealing with uncertainty. We propose a novel planning system based on Answer Set Programming and the Clingo solver to tackle these problems and incentivize robot cooperation. Our results show a significant performance improvement, both, in terms of lowering computational requirements and better game metrics. Y1 - 2018 SN - 2334-0835 SN - 2334-0843 SP - 509 EP - 517 PB - ASSOC Association for the Advancement of Artificial Intelligence CY - Palo Alto ER - TY - GEN A1 - Bosser, Anne-Gwenn A1 - Cabalar, Pedro A1 - Dieguez, Martin A1 - Schaub, Torsten T1 - Introducing temporal stable models for linear dynamic logic T2 - 16th International Conference on Principles of Knowledge Representation and Reasoning N2 - We propose a new temporal extension of the logic of Here-and-There (HT) and its equilibria obtained by combining it with dynamic logic over (linear) traces. Unlike previous temporal extensions of HT based on linear temporal logic, the dynamic logic features allow us to reason about the composition of actions. For instance, this can be used to exercise fine grained control when planning in robotics, as exemplified by GOLOG. In this paper, we lay the foundations of our approach, and refer to it as Linear Dynamic Equilibrium Logic, or simply DEL. We start by developing the formal framework of DEL and provide relevant characteristic results. Among them, we elaborate upon the relationships to traditional linear dynamic logic and previous temporal extensions of HT. Y1 - 2018 UR - https://www.dc.fi.udc.es/~cabalar/del.pdf SP - 12 EP - 21 PB - ASSOC Association for the Advancement of Artificial Intelligence CY - Palo Alto ER - TY - JOUR A1 - Cabalar, Pedro A1 - Fandiño, Jorge A1 - Garea, Javier A1 - Romero, Javier A1 - Schaub, Torsten T1 - Eclingo BT - a solver for epistemic logic programs JF - Theory and practice of logic programming N2 - We describe eclingo, a solver for epistemic logic programs under Gelfond 1991 semantics built upon the Answer Set Programming system clingo. The input language of eclingo uses the syntax extension capabilities of clingo to define subjective literals that, as usual in epistemic logic programs, allow for checking the truth of a regular literal in all or in some of the answer sets of a program. The eclingo solving process follows a guess and check strategy. It first generates potential truth values for subjective literals and, in a second step, it checks the obtained result with respect to the cautious and brave consequences of the program. This process is implemented using the multi-shot functionalities of clingo. We have also implemented some optimisations, aiming at reducing the search space and, therefore, increasing eclingo 's efficiency in some scenarios. Finally, we compare the efficiency of eclingo with two state-of-the-art solvers for epistemic logic programs on a pair of benchmark scenarios and show that eclingo generally outperforms their obtained results. KW - Answer Set Programming KW - Epistemic Logic Programs KW - Non-Monotonic KW - Reasoning KW - Conformant Planning Y1 - 2020 U6 - https://doi.org/10.1017/S1471068420000228 SN - 1471-0684 SN - 1475-3081 VL - 20 IS - 6 SP - 834 EP - 847 PB - Cambridge Univ. Press CY - New York ER - TY - THES A1 - Kaminski, Roland T1 - Complex reasoning with answer set programming N2 - Answer Set Programming (ASP) allows us to address knowledge-intensive search and optimization problems in a declarative way due to its integrated modeling, grounding, and solving workflow. A problem is modeled using a rule based language and then grounded and solved. Solving results in a set of stable models that correspond to solutions of the modeled problem. In this thesis, we present the design and implementation of the clingo system---perhaps, the most widely used ASP system. It features a rich modeling language originating from the field of knowledge representation and reasoning, efficient grounding algorithms based on database evaluation techniques, and high performance solving algorithms based on Boolean satisfiability (SAT) solving technology. The contributions of this thesis lie in the design of the modeling language, the design and implementation of the grounding algorithms, and the design and implementation of an Application Programmable Interface (API) facilitating the use of ASP in real world applications and the implementation of complex forms of reasoning beyond the traditional ASP workflow. KW - Answer Set Programming KW - Declarative Problem Solving KW - Grounding Theory KW - Preference Handling KW - Answer Set Solving modulo Theories KW - Temporal Answer Set Solving Y1 - 2023 ER - TY - JOUR A1 - Mileo, Alessandra A1 - Schaub, Torsten A1 - Merico, Davide A1 - Bisiani, Roberto T1 - Knowledge-based multi-criteria optimization to support indoor positioning JF - Annals of mathematics and artificial intelligence N2 - Indoor position estimation constitutes a central task in home-based assisted living environments. Such environments often rely on a heterogeneous collection of low-cost sensors whose diversity and lack of precision has to be compensated by advanced techniques for localization and tracking. Although there are well established quantitative methods in robotics and neighboring fields for addressing these problems, they lack advanced knowledge representation and reasoning capacities. Such capabilities are not only useful in dealing with heterogeneous and incomplete information but moreover they allow for a better inclusion of semantic information and more general homecare and patient-related knowledge. We address this problem and investigate how state-of-the-art localization and tracking methods can be combined with Answer Set Programming, as a popular knowledge representation and reasoning formalism. We report upon a case-study and provide a first experimental evaluation of knowledge-based position estimation both in a simulated as well as in a real setting. KW - Knowledge representation KW - Answer Set Programming KW - Wireless Sensor Networks KW - Localization KW - Tracking Y1 - 2011 U6 - https://doi.org/10.1007/s10472-011-9241-2 SN - 1012-2443 SN - 1573-7470 VL - 62 IS - 3-4 SP - 345 EP - 370 PB - Springer CY - Dordrecht ER - TY - JOUR A1 - Fandiño, Jorge A1 - Lifschitz, Vladimir A1 - Lühne, Patrick A1 - Schaub, Torsten T1 - Verifying tight logic programs with Anthem and Vampire JF - Theory and practice of logic programming N2 - This paper continues the line of research aimed at investigating the relationship between logic programs and first-order theories. We extend the definition of program completion to programs with input and output in a subset of the input language of the ASP grounder gringo, study the relationship between stable models and completion in this context, and describe preliminary experiments with the use of two software tools, anthem and vampire, for verifying the correctness of programs with input and output. Proofs of theorems are based on a lemma that relates the semantics of programs studied in this paper to stable models of first-order formulas. Y1 - 2020 U6 - https://doi.org/10.1017/S1471068420000344 SN - 1471-0684 SN - 1475-3081 VL - 20 IS - 5 SP - 735 EP - 750 PB - Cambridge Univ. Press CY - Cambridge [u.a.] ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - A consistency-based model for belief change: preliminary report Y1 - 2000 UR - http://xxx.lanl.gov/abs/cs.AI/0003052 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - The role of default logic in knowledge representation Y1 - 2000 SN - 0-7923-7224-7 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - How to reason credulously and skeptically within a single extension Y1 - 2001 ER - TY - JOUR A1 - Schaub, Torsten A1 - Wang, Kewen T1 - A comparative study of logic programs with preference Y1 - 2001 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Lang, Jérôme A1 - Schaub, Torsten T1 - Belief change based on global minimisation Y1 - 2007 ER - TY - THES A1 - Ostrowski, Max T1 - Modern constraint answer set solving T1 - Moderne Constraint Antwortmengenprogrammierung N2 - Answer Set Programming (ASP) is a declarative problem solving approach, combining a rich yet simple modeling language with high-performance solving capabilities. Although this has already resulted in various applications, certain aspects of such applications are more naturally modeled using variables over finite domains, for accounting for resources, fine timings, coordinates, or functions. Our goal is thus to extend ASP with constraints over integers while preserving its declarative nature. This allows for fast prototyping and elaboration tolerant problem descriptions of resource related applications. The resulting paradigm is called Constraint Answer Set Programming (CASP). We present three different approaches for solving CASP problems. The first one, a lazy, modular approach combines an ASP solver with an external system for handling constraints. This approach has the advantage that two state of the art technologies work hand in hand to solve the problem, each concentrating on its part of the problem. The drawback is that inter-constraint dependencies cannot be communicated back to the ASP solver, impeding its learning algorithm. The second approach translates all constraints to ASP. Using the appropriate encoding techniques, this results in a very fast, monolithic system. Unfortunately, due to the large, explicit representation of constraints and variables, translation techniques are restricted to small and mid-sized domains. The third approach merges the lazy and the translational approach, combining the strength of both while removing their weaknesses. To this end, we enhance the dedicated learning techniques of an ASP solver with the inferences of the translating approach in a lazy way. That is, the important knowledge is only made explicit when needed. By using state of the art techniques from neighboring fields, we provide ways to tackle real world, industrial size problems. By extending CASP to reactive solving, we open up new application areas such as online planning with continuous domains and durations. N2 - Die Antwortmengenprogrammierung (ASP) ist ein deklarativer Ansatz zur Problemlösung. Eine ausdrucksstarke Modellierungssprache erlaubt es, Probleme einfach und flexibel zu beschreiben. Durch sehr effiziente Problemlösungstechniken, konnten bereits verschiedene Anwendungsgebiete erschlossen werden. Allerdings lassen sich Probleme mit Ressourcen besser mit Gleichungen über Ganze oder Reelle Zahlen lösen, anstatt mit reiner Boolescher Logik. In dieser Arbeit erweitern wir ASP mit Arithmetik über Ganze Zahlen zu Constraint Answer Set Programming (CASP). Unser Hauptaugenmerk liegt dabei auf der Erweiterung der Modellierungssprache mit Arithmetik, ohne Performanz oder Flexibilität einzubüßen. In einem ersten, bedarfsgesteuertem, modularen Ansatz kombinieren wir einen ASP Solver mit einem externen System zur Lösung von ganzzahligen Gleichungen. Der Vorteil dieses Ansatzes besteht darin, dass zwei verschiedene Technologien Hand in Hand arbeiten, wobei jede nur ihren Teil des Problems betrachten muss. Ein Nachteil der sich daraus ergibt ist jedoch, dass Abhängigkeiten zwischen den Gleichungen nicht an den ASP Solver kommuniziert werden können. Das beeinträchtigt die Lernfähigkeit des zu Grunde liegenden Algorithmus. Der zweite von uns verfolgte Ansatz übersetzt die ganzzahligen Gleichungen direkt nach ASP. Durch entsprechende Kodierungstechniken erhält man ein sehr effizientes, monolithisches System. Diese Übersetzung erfordert eine explizite Darstellung aller Variablen und Gleichungen. Daher ist dieser Ansatz nur für kleine bis mittlere Wertebereiche geeignet. Die dritte Methode, die wir in dieser Arbeit vorstellen, vereinigt die Vorteile der beiden vorherigen Ansätze und überwindet ihre Kehrseiten. Wir entwickeln einen lernenden Algorithmus, der die Arithmetik implizit lässt. Dies befreit uns davon, eine möglicherweise riesige Menge an Variablen und Formeln zu speichern, und erlaubt es uns gleichzeitig dieses Wissen zu nutzen. Das Ziel dieser Arbeit ist es, durch die Kombination hochmoderner Technologien, industrielle Anwendungsgebiete für ASP zu erschliessen. Die verwendeten Techniken erlauben eine Erweiterung von CASP mit reaktiven Elementen. Das heißt, dass das Lösen des Problems ein interaktiver Prozess wird. Das Problem kann dabei ständig verändert und erweitert werden, ohne dass Informationen verloren gehen oder neu berechnet werden müssen. Dies eröffnet uns neue Möglichkeiten, wie zum Beispiel reaktives Planen mit Ressourcen und Zeiten. KW - ASP (Answer Set Programming) KW - CASP (Constraint Answer Set Programming) KW - constraints KW - hybrid KW - SMT (SAT Modulo Theories) KW - Antwortmengenprogrammierung KW - hybrides Problemlösen Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-407799 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - Expressing default logic variants in default logic N2 - Reiter's default logic is one of the best known and most studied of the approaches to nonmonotonic reasoning. Several variants of default logic have subsequently been proposed to give systems with properties differing from the original. In this paper, we examine the relationship between default logic and its major variants. We accomplish this by translating a default theory under a variant interpretation into a second default theory, under the original Reiter semantics, wherein the variant interpretation is respected. That is, in each case we show that, given an extension of a translated theory, one may extract an extension of the original variant default logic theory. We show how constrained, rational, justified, and cumulative default logic can be expressed in Reiter's default logic. As well, we show how Reiter's default logic can be expressed in rational default logic. From this, we suggest that any such variant can be similarly treated. Consequently, we provide a unification of default logics, showing how the original formulation of default logic may express its variants. Moreover, the translations clearly express the relationships between alternative approaches to default logic. The translations themselves are shown to generally have good properties. Thus, in at least a theoretical sense, we show that these variants are in a sense superfluous, in that for any of these variants of default logic, we can exactly mimic the behaviour of a variant in standard default logic. As well, the translations lend insight into means of classifying the expressive power of default logic variants; specifically we suggest that the property of semi-monotonicity represents a division with respect to expressibility, whereas regularity and cumulativity do not Y1 - 2005 SN - 0955-792X ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - Reasoning with sets of preferences in default logic N2 - We present a general approach for representing and reasoning with sets of defaults in default logic, focusing on reasoning about preferences among sets of defaults. First, we consider how to control the application of a set of defaults so that either all apply (if possible) or none do (if not). From this, an approach to dealing with preferences among sets of default rules is developed. We begin with an ordered default theory, consisting of a standard default theory, but with possible preferences on sets of rules. This theory is transformed into a second, standard default theory wherein the preferences are respected. The approach differs from other work, in that we obtain standard default theories and do not rely on prioritized versions of default logic. In practical terms this means we can immediately use existing default logic theorem provers for an implementation. Also, we directly generate just those extensions containing the most preferred applied rules; in contrast, most previous approaches generate all extensions, then select the most preferred. In a major application of the approach, we show how semimonotonic default theories can be encoded so that reasoning can be carried out at the object level. With this, we can reason about default extensions from within the framework of a standard default logic. Hence one can encode notions such as skeptical and credulous conclusions, and can reason about such conclusions within a single extension Y1 - 2004 SN - 0824-7935 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Wang, Kewen T1 - A classification and survey of preference handling approchaches in nonmonotonic reasoning N2 - In recent years, there has been a large amount of disparate work concerning the representation and reasoning with qualitative preferential information by means of approaches to nonmonotonic reasoning. Given the variety of underlying systems, assumptions, motivations, and intuitions, it is difficult to compare or relate one approach with another. Here, we present an overview and classification for approaches to dealing with preference. A set of criteria for classifying approaches is given, followed by a set of desiderata that an approach might be expected to satisfy. A comprehensive set of approaches is subsequently given and classified with respect to these sets of underlying principles Y1 - 2004 SN - 0824-7935 ER - TY - JOUR A1 - Borchert, P. A1 - Anger, Christian A1 - Schaub, Torsten A1 - Truszczynski, M. T1 - Towards systematic benchmarking in answer set programming : the dagstuhl initiative Y1 - 2004 SN - 3-540- 20721-x ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - Consistency-based approaches to merging knowledge based : preliminary report Y1 - 2004 UR - http://www.pims.math.ca/science/2004/NMR/papers/paper17.pdf SN - 92-990021-0-X ER - TY - JOUR A1 - Konczak, Kathrin A1 - Linke, Thomas A1 - Schaub, Torsten T1 - Graphs and cologings for answer set programming : adridged report Y1 - 2004 SN - 3-540- 20721-x ER - TY - JOUR A1 - Flöter, André A1 - Selbig, Joachim A1 - Schaub, Torsten T1 - Finding metabolic pathways in decision forests Y1 - 2004 SN - 3-540-23221-4 ER - TY - JOUR A1 - Boesel, Andreas A1 - Linke, Thomas A1 - Schaub, Torsten T1 - Profiling answer set programming : the visualization component of the noMoRe System Y1 - 2004 SN - 3-540-23242-7 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans T1 - Domain-specific preference for causal reasoning and planning Y1 - 2004 SN - 1-577-35201-7 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - Two approaches to merging knowledge bases Y1 - 2004 SN - 3-540-23242-7 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Wang, Kewen T1 - Towards a classification of preference handling approaches in nonmonotonic reasoning Y1 - 2002 SN - 1-577-35166-5 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Woltran, Stefan T1 - On computing solutions to belief change scenarios Y1 - 2001 SN - 3-540- 42464-4 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - How to reason credulously and skeptically within a single extension. Y1 - 2001 SN - 3-540- 42464-4 ER - TY - JOUR A1 - Schaub, Torsten A1 - Wang, Kewen T1 - A comparative study of logic programs with preference Y1 - 2001 SN - 1-558-60777-3 SN - 1045-0823 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans T1 - A generic compiler for ordered logic programs Y1 - 2001 SN - 3-540-42593-4 ER - TY - JOUR A1 - Pearce, David A1 - Sarsakov, Vladimir A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Woltran, Stefan T1 - A polynomial translation of logic programs with nested expressions into disjunctive logic programs : preliminary report Y1 - 2002 ER - TY - JOUR A1 - Besnard, Philippe A1 - Mercer, Robert E. A1 - Schaub, Torsten T1 - Optimality Theory via Default Logic Y1 - 2002 ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten T1 - Alternative foundations for Reiter's default logic. Y1 - 2000 SN - 0004-3702 ER - TY - BOOK ED - Brewka, Gerhard ED - Witteveen, Cees ED - Schaub, Torsten T1 - Proceedings of the Fifth Dutch German Workshop on Nonmonotonic Reasoning Techniques and their Applications, DGNMR'2001, Potsdam, 4. - 6. April 2001 Y1 - 2001 CY - Potsdam ER - TY - JOUR A1 - Benhammadi, Farid A1 - Nicolas, Pascal A1 - Schaub, Torsten T1 - Extension calculus and query answering in prioritized default logic Y1 - 1998 SN - 3-540- 64993-X ER - TY - JOUR A1 - Benhammadi, Farid A1 - Nicolas, Pascal A1 - Schaub, Torsten T1 - Extension calculus and query answering in prioritized default logic Y1 - 1998 SN - 3-540-64993-X ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - Reasoning with sets of preferences in default logic Y1 - 1998 SN - 3-540- 65271-x ER - TY - JOUR A1 - Bibel, Wolfgang A1 - Brüning, Stefan A1 - Otten, Jens A1 - Rath, Thomas A1 - Schaub, Torsten T1 - Compressions and extensions Y1 - 1998 ER - TY - JOUR A1 - Besnard, Philippe A1 - Schaub, Torsten T1 - Characterization of non-monotone non-constructive systems Y1 - 1998 SN - 1012-2443 ER - TY - JOUR A1 - Besnard, Philippe A1 - Schaub, Torsten T1 - Signed systems for paraconsistent reasoning Y1 - 1998 SN - 0168-7433 ER - TY - JOUR A1 - Schaub, Torsten A1 - Brüning, Stefan T1 - Prolog technology for default reasoning : proof theory and compilation techniques Y1 - 1998 ER - TY - JOUR A1 - Schaub, Torsten T1 - The family of default logics Y1 - 1998 ER - TY - JOUR A1 - Delgrande, James A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Woltran, Stefan T1 - A model-theoretic approach to belief change in answer set programming JF - ACM transactions on computational logic N2 - We address the problem of belief change in (nonmonotonic) logic programming under answer set semantics. Our formal techniques are analogous to those of distance-based belief revision in propositional logic. In particular, we build upon the model theory of logic programs furnished by SE interpretations, where an SE interpretation is a model of a logic program in the same way that a classical interpretation is a model of a propositional formula. Hence we extend techniques from the area of belief revision based on distance between models to belief change in logic programs. We first consider belief revision: for logic programs P and Q, the goal is to determine a program R that corresponds to the revision of P by Q, denoted P * Q. We investigate several operators, including (logic program) expansion and two revision operators based on the distance between the SE models of logic programs. It proves to be the case that expansion is an interesting operator in its own right, unlike in classical belief revision where it is relatively uninteresting. Expansion and revision are shown to satisfy a suite of interesting properties; in particular, our revision operators satisfy all or nearly all of the AGM postulates for revision. We next consider approaches for merging a set of logic programs, P-1,...,P-n. Again, our formal techniques are based on notions of relative distance between the SE models of the logic programs. Two approaches are examined. The first informally selects for each program P-i those models of P-i that vary the least from models of the other programs. The second approach informally selects those models of a program P-0 that are closest to the models of programs P-1,...,P-n. In this case, P-0 can be thought of as a set of database integrity constraints. We examine these operators with regards to how they satisfy relevant postulate sets. Last, we present encodings for computing the revision as well as the merging of logic programs within the same logic programming framework. This gives rise to a direct implementation of our approach in terms of off-the-shelf answer set solvers. These encodings also reflect the fact that our change operators do not increase the complexity of the base formalism. KW - Theory KW - Answer set programming KW - belief revision KW - belief merging KW - program encodings KW - strong equivalence Y1 - 2013 U6 - https://doi.org/10.1145/2480759.2480766 SN - 1529-3785 VL - 14 IS - 2 PB - Association for Computing Machinery CY - New York ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans T1 - A general framework for expressing preferences in causal reasoning and planning N2 - We consider the problem of representing arbitrary preferences in causal reasoning and planning systems. In planning, a preference may be seen as a goal or constraint that is desirable, but not necessary, to satisfy. To begin, we define a very general query language for histories, or interleaved sequences of world states and actions. Based on this, we specify a second language in which preferences are defined. A single preference defines a binary relation on histories, indicating that one history is preferred to the other. From this, one can define global preference orderings on the set of histories, the maximal elements of which are the preferred histories. The approach is very general and flexible; thus it constitutes a base language in terms of which higher-level preferences may be defined. To this end, we investigate two fundamental types of preferences that we call choice and temporal preferences. We consider concrete strategies for these types of preferences and encode them in terms of our framework. We suggest how to express aggregates in the approach, allowing, e.g. the expression of a preference for histories with lowest total action costs. Last, our approach can be used to express other approaches and so serves as a common framework in which such approaches can be expressed and compared. We illustrate this by indicating how an approach due to Son and Pontelli can be encoded in our approach, as well as the language PDDL3. Y1 - 2007 UR - http://logcom.oxfordjournals.org/ U6 - https://doi.org/10.1093/logcom/exm046 SN - 0955-792X ER - TY - JOUR A1 - Gebser, Martin A1 - Schaub, Torsten A1 - Thiele, Sven A1 - Veber, Philippe T1 - Detecting inconsistencies in large biological networks with answer set programming JF - Theory and practice of logic programming N2 - We introduce an approach to detecting inconsistencies in large biological networks by using answer set programming. To this end, we build upon a recently proposed notion of consistency between biochemical/genetic reactions and high-throughput profiles of cell activity. We then present an approach based on answer set programming to check the consistency of large-scale data sets. Moreover, we extend this methodology to provide explanations for inconsistencies by determining minimal representations of conflicts. In practice, this can be used to identify unreliable data or to indicate missing reactions. KW - answer set programming KW - bioinformatics KW - consistency KW - diagnosis Y1 - 2011 U6 - https://doi.org/10.1017/S1471068410000554 SN - 1471-0684 VL - 11 IS - 5-6 SP - 323 EP - 360 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Gebser, Martin A1 - Kaminski, Roland A1 - Schaub, Torsten T1 - Complex optimization in answer set programming JF - Theory and practice of logic programming N2 - Preference handling and optimization are indispensable means for addressing nontrivial applications in Answer Set Programming (ASP). However, their implementation becomes difficult whenever they bring about a significant increase in computational complexity. As a consequence, existing ASP systems do not offer complex optimization capacities, supporting, for instance, inclusion-based minimization or Pareto efficiency. Rather, such complex criteria are typically addressed by resorting to dedicated modeling techniques, like saturation. Unlike the ease of common ASP modeling, however, these techniques are rather involved and hardly usable by ASP laymen. We address this problem by developing a general implementation technique by means of meta-prpogramming, thus reusing existing ASP systems to capture various forms of qualitative preferences among answer sets. In this way, complex preferences and optimization capacities become readily available for ASP applications. KW - Answer Set Programming KW - Preference Handling KW - Complex optimization KW - Meta-Programming Y1 - 2011 U6 - https://doi.org/10.1017/S1471068411000329 SN - 1471-0684 VL - 11 IS - 3 SP - 821 EP - 839 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Gebser, Martin A1 - Gharib, Mona A1 - Mercer, Robert E. A1 - Schaub, Torsten T1 - Monotonic answer set programming N2 - Answer set programming (ASP) does not allow for incrementally constructing answer sets or locally validating constructions like proofs by only looking at a part of the given program. In this article, we elaborate upon an alternative approach to ASP that allows for incremental constructions. Our approach draws its basic intuitions from the area of default logics. We investigate the feasibility of the concept of semi-monotonicity known from default logics as a basis of incrementality. On the one hand, every logic program has at least one answer set in our alternative setting, which moreover can be constructed incrementally based on generating rules. On the other hand, the approach may produce answer sets lacking characteristic properties of standard answer sets, such as being a model of the given program. We show how integrity constraints can be used to re-establish such properties, even up to correspondence with standard answer sets. Furthermore, we develop an SLD-like proof procedure for our incremental approach to ASP, which allows for query-oriented computations. Also, we provide a characterization of our definition of answer sets via a modification of Clarks completion. Based on this notion of program completion, we present an algorithm for computing the answer sets of a logic program in our approach. Y1 - 2009 UR - http://logcom.oxfordjournals.org/ U6 - https://doi.org/10.1093/logcom/exn040 SN - 0955-792X ER - TY - JOUR A1 - Gebser, Martin A1 - Kaufmann, Benjamin A1 - Schaub, Torsten T1 - Multi-threaded ASP solving with clasp JF - Theory and practice of logic programming N2 - We present the new multi-threaded version of the state-of-the-art answer set solver clasp. We detail its component and communication architecture and illustrate how they support the principal functionalities of clasp. Also, we provide some insights into the data representation used for different constraint types handled by clasp. All this is accompanied by an extensive experimental analysis of the major features related to multi-threading in clasp. Y1 - 2012 U6 - https://doi.org/10.1017/S1471068412000166 SN - 1471-0684 VL - 12 IS - 8 SP - 525 EP - 545 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Hermenegildo, Manuel A1 - Schaub, Torsten T1 - Introduction to the technical communications of the 26th International Conference on Logic Programming : special issue Y1 - 2010 UR - http://www.cs.kuleuven.ac.be/~dtai/projects/ALP//TPLP/ U6 - https://doi.org/10.1017/S1471068410000153 SN - 1471-0684 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Liu, Daphne H. A1 - Schaub, Torsten A1 - Thiele, Sven T1 - COBA 2.0 : a consistency-based belief change system Y1 - 2007 ER - TY - JOUR A1 - Gharib, Mona A1 - Schaub, Torsten A1 - Mercer, Robert E. T1 - Incremental answer set programming : a preliminary report Y1 - 2007 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans T1 - An Extended Query language for action languages (and its application to aggregates and preferences) Y1 - 2006 UR - http://www2.in.tu-clausthal.de/~tmbehrens/NMR_Proc_TR4.pdf ER - TY - JOUR A1 - Konczak, Kathrin A1 - Linke, Thomas A1 - Schaub, Torsten T1 - Graphs and colorings for answer set programming : abridged report Y1 - 2003 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/kolisch03a.pdf SN - 1613-0073 ER - TY - JOUR A1 - Anger, Christian A1 - Gebser, Martin A1 - Schaub, Torsten T1 - Approaching the core of unfounded sets Y1 - 2006 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/angesc06a.pdf ER - TY - JOUR A1 - Mileo, Alessandra A1 - Schaub, Torsten T1 - Extending ordered disjunctions for policy enforcement : preliminary report Y1 - 2006 UR - http://www.easychair.org/FLoC-06/PREFS-preproceedings.pdf ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans T1 - A preference-based framework for updating logic programs Y1 - 2007 SN - 978-3-540- 72199-4 ER - TY - JOUR A1 - Gressmann, Jean A1 - Janhunen, Tomi A1 - Mercer, Robert E. A1 - Schaub, Torsten A1 - Thiele, Sven A1 - Tichy, Richard T1 - On probing and multi-threading in platypus Y1 - 2006 ER - TY - JOUR A1 - Grell, Susanne A1 - Schaub, Torsten A1 - Selbig, Joachim T1 - Modelling biological networks by action languages via set programming Y1 - 2006 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/gebsch06c.pdf U6 - https://doi.org/10.1007/11799573 SN - 0302-9743 ER - TY - JOUR A1 - Gerbser, Martin A1 - Schaub, Torsten T1 - Tableau calculi for answer set programming Y1 - 2006 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/gebsch06c.pdf U6 - https://doi.org/10.1007/11799573 SN - 0302-9743 ER - TY - JOUR A1 - Gerbser, Martin A1 - Schaub, Torsten T1 - Characterizing (ASP) inferences by unit propagation Y1 - 2006 ER - TY - THES A1 - Kaufmann, Benjamin T1 - High performance answer set solving Y1 - 2015 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Woltran, Stefan T1 - On Computing belief change operations using quantifield boolean formulas N2 - In this paper, we show how an approach to belief revision and belief contraction can be axiomatized by means of quantified Boolean formulas. Specifically, we consider the approach of belief change scenarios, a general framework that has been introduced for expressing different forms of belief change. The essential idea is that for a belief change scenario (K, R, C), the set of formulas K, representing the knowledge base, is modified so that the sets of formulas R and C are respectively true in, and consistent with the result. By restricting the form of a belief change scenario, one obtains specific belief change operators including belief revision, contraction, update, and merging. For both the general approach and for specific operators, we give a quantified Boolean formula such that satisfying truth assignments to the free variables correspond to belief change extensions in the original approach. Hence, we reduce the problem of determining the results of a belief change operation to that of satisfiability. This approach has several benefits. First, it furnishes an axiomatic specification of belief change with respect to belief change scenarios. This then leads to further insight into the belief change framework. Second, this axiomatization allows us to identify strict complexity bounds for the considered reasoning tasks. Third, we have implemented these different forms of belief change by means of existing solvers for quantified Boolean formulas. As well, it appears that this approach may be straightforwardly applied to other specific approaches to belief change Y1 - 2004 SN - 0955-792X ER - TY - JOUR A1 - Flöter, André A1 - Nicolas, Jacques A1 - Schaub, Torsten A1 - Selbig, Joachim T1 - Threshold extraction in metabolite concentration data N2 - Motivation: Continued development of analytical techniques based on gas chromatography and mass spectrometry now facilitates the generation of larger sets of metabolite concentration data. An important step towards the understanding of metabolite dynamics is the recognition of stable states where metabolite concentrations exhibit a simple behaviour. Such states can be characterized through the identification of significant thresholds in the concentrations. But general techniques for finding discretization thresholds in continuous data prove to be practically insufficient for detecting states due to the weak conditional dependences in concentration data. Results: We introduce a method of recognizing states in the framework of decision tree induction. It is based upon a global analysis of decision forests where stability and quality are evaluated. It leads to the detection of thresholds that are both comprehensible and robust. Applied to metabolite concentration data, this method has led to the discovery of hidden states in the corresponding variables. Some of these reflect known properties of the biological experiments, and others point to putative new states Y1 - 2004 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Gharib, Mona A1 - Mercer, Robert E. A1 - Risch, V. A1 - Schaub, Torsten T1 - Lukaszewicz-style answer set programming : a preliminary report Y1 - 2003 UR - http://sunsite.informatik.rwth-aachen.de/Publications/CEUR-WS/Vol-78/ SN - 1613-0073 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - On the relation between Reiterïs default logic and its (major) variants Y1 - 2003 SN - 3-540- 409494-5 ER - TY - JOUR A1 - Konczak, Kathrin A1 - Schaub, Torsten A1 - Linke, Thomas T1 - Graphs and colorings for answer set programming with prefernces : preliminary report Y1 - 2003 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/koschli03a.pdf SN - 1613-0073 ER - TY - JOUR A1 - Besnard, Philippe A1 - Mercer, Robert E. A1 - Schaub, Torsten T1 - Optimality theory throught default logic Y1 - 2003 SN - 3-540-20059-2 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten A1 - Tompits, Hans T1 - A framework for compiling preferences in logic programs Y1 - 2003 ER - TY - JOUR A1 - Delgrande, James Patrick A1 - Schaub, Torsten T1 - Reasoning credulously and skeptically within a single extension Y1 - 2003 ER - TY - JOUR A1 - Schaub, Torsten A1 - Wang, Kewen T1 - A semantic framework for prefernce handling in answer set programming Y1 - 2003 ER - TY - JOUR A1 - Benhammadi, Farid A1 - Nicolas, Pascal A1 - Schaub, Torsten T1 - Query-answering in prioritized default logic Y1 - 1999 SN - 3-540-66131-X ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten T1 - On bottom-up pre-processing techniques for automated default reasoning Y1 - 1999 SN - 3-540-66131-x ER - TY - JOUR A1 - Benhammadi, Farid A1 - Nicolas, Pascal A1 - Schaub, Torsten T1 - Query-answering in prioritized default logic Y1 - 1999 SN - 3-540-66131-X ER - TY - JOUR A1 - Brüning, Stefan A1 - Schaub, Torsten T1 - Avoiding non-ground variables Y1 - 1999 SN - 3-540-66131-x ER - TY - JOUR A1 - Nicolas, Pascal A1 - Schaub, Torsten T1 - The XRay system : an implementation platform for local query-answering in default logics Y1 - 1998 SN - 3-540-65312-0 ER - TY - JOUR A1 - Brüning, Stefan A1 - Schaub, Torsten T1 - A voiding non-ground variables Y1 - 1999 ER - TY - BOOK A1 - Schaub, Torsten T1 - The automation of reasoning with incomplete information : from semantic foundations to efficient computation T3 - Lecture notes in computer science Y1 - 1999 SN - 3-540-64515-2 U6 - https://doi.org/10.1007/BFb0054963 VL - 1409 PB - Springer CY - Berlin ER - TY - JOUR A1 - Besnard, Philippe A1 - Schaub, Torsten T1 - Signed systems for paraconsistent reasoning Y1 - 1998 ER - TY - JOUR A1 - Brain, Martin A1 - Gebser, Martin A1 - Pührer, Jörg A1 - Schaub, Torsten A1 - Tompits, Hans A1 - Woltran, Stefan T1 - "That is illogical, Captain!" : the debugging support tool spock for answer-set programs ; system description Y1 - 2007 ER - TY - JOUR A1 - Gebser, Martin A1 - Kaufmann, Benjamin A1 - Neumann, André A1 - Schaub, Torsten T1 - Conflict-driven answer set enumeration Y1 - 2007 SN - 978-3-540- 72199-4 ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten T1 - Putting default logics in perspective Y1 - 1996 SN - 3-540-61708-6 ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten T1 - Lemma handling in default logic theorem provers Y1 - 1995 SN - 3540601120 ER - TY - JOUR A1 - Gebser, Martin A1 - Kaufmann, Benjamin A1 - Neumann, André A1 - Schaub, Torsten T1 - Conflict-driven answer set solving Y1 - 2007 SN - 978-1-57735-323-2 ER - TY - JOUR A1 - Besnard, Philippe A1 - Schaub, Torsten T1 - A context-based framework for default logics Y1 - 1993 SN - 0-262-51071-5 ER - TY - JOUR A1 - Gebser, Martin A1 - Gharib, Mona A1 - Schaub, Torsten T1 - Incremental answer sets and their computation Y1 - 2007 ER - TY - JOUR A1 - Gebser, Martin A1 - Schaub, Torsten T1 - Generic tableaux for answer set programming Y1 - 2007 ER -