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Learning how to prove
(2018)
We have developed an alternative approach to teaching computer science students how to prove. First, students are taught how to prove theorems with the Coq proof assistant. In a second, more difficult, step students will transfer their acquired skills to the area of textbook proofs. In this article we present a realisation of the second step. Proofs in Coq have a high degree of formality while textbook proofs have only a medium one. Therefore our key idea is to reduce the degree of formality from the level of Coq to textbook proofs in several small steps. For that purpose we introduce three proof styles between Coq and textbook proofs, called line by line comments, weakened line by line comments, and structure faithful proofs. While this article is mostly conceptional we also report on experiences with putting our approach into practise.
teaspoon
(2018)
Answer Set Programming (ASP) is an approach to declarative problem solving, combining a rich yet simple modeling language with high performance solving capacities. We here develop an ASP-based approach to curriculum-based course timetabling (CB-CTT), one of the most widely studied course timetabling problems. The resulting teaspoon system reads a CB-CTT instance of a standard input format and converts it into a set of ASP facts. In turn, these facts are combined with a first-order encoding for CB-CTT solving, which can subsequently be solved by any off-the-shelf ASP systems. We establish the competitiveness of our approach by empirically contrasting it to the best known bounds obtained so far via dedicated implementations. Furthermore, we extend the teaspoon system to multi-objective course timetabling and consider minimal perturbation problems.
We introduce a type and effect system, for an imperative object calculus, which infers sharing possibly introduced by the evaluation of an expression, represented as an equivalence relation among its free variables. This direct representation of sharing effects at the syntactic level allows us to express in a natural way, and to generalize, widely-used notions in literature, notably uniqueness and borrowing. Moreover, the calculus is pure in the sense that reduction is defined on language terms only, since they directly encode store. The advantage of this non-standard execution model with respect to a behaviorally equivalent standard model using a global auxiliary structure is that reachability relations among references are partly encoded by scoping. (C) 2018 Elsevier B.V. All rights reserved.
Mobile Endgeräte und Applikationen (Apps) sind dank vielfältiger Kommunikations-, Informations- und Assistenzfunktionen zu einem unverzichtbaren Bestandteil unseres täglichen Lebens geworden. Inzwischen hat sich insbesondere im Hochschulumfeld eine bunte Vielfalt an mobilen Unterstützungsangeboten etabliert, beginnend bei zentral angebotenen Uni-Apps bis hin zu unterschiedlichen Apps zur Ausgestaltung einzelner Lehrveranstaltungen oder individueller Lehr- und Lernszenarien. Angesichts der großen Aufwände zur Entwicklung, Distribution und Pflege mobiler Anwendungen ist ein Einsatz für eine möglichst große Zielgruppe wünschenswert. Dies kann jedoch mit dem Charakter mobiler Endgeräte als persönliche, individualisierte Assistenten kollidieren.
In diesem Beitrag werden entlang dieses Spektrums zwischen (fach-)spezifischen Einzellösungen und breiten Allroundern verschiedene mobile Unterstützungsangebote aus dem Hochschulbereich vorgestellt, hinsichtlich ihres Einsatzes kontextuell eingeordnet und systematisiert. Dies umfasst mobile Anwendungen, die allgemeine organisatorische Aspekte des Studiums, bestimmte Felder wie die Studieneingangsphase oder die konkrete Begleitung hybrider Lernszenarien fokussieren. Es schließt sich eine App-Auswahl an, die fachspezifischen Aspekten Rechnung trägt und in denen Inhalte in Form von Serious Games, Simulationen und Inhaltsmodulen aufbereitet sind. Neben Lehre und Studium wird auch die Forschung in den Fokus gerückt, wo Apps gleichermaßen als Forschungsgegenstand und Datenerhebungsinstrument wirken. Aus der Fülle dieser Entwicklungen resultiert eine App-Vielfalt, die verschiedene Herausforderungen aufwirft. Der Beitrag stellt die spezifischen Herausforderungen zusammen und spricht Empfehlungen aus. Dabei werden sowohl organisatorische, inhaltliche und technische Fragestellungen thematisiert als auch rechtliche Gesichtspunkte bezüglich Datenschutz und Copyright tangiert.
In this paper, we consider the computational power of a new variant of networks of splicing processors in which each processor as well as the data navigating throughout the network are now considered to be polarized. While the polarization of every processor is predefined (negative, neutral, positive), the polarization of data is dynamically computed by means of a valuation mapping. Consequently, the protocol of communication is naturally defined by means of this polarization. We show that networks of polarized splicing processors (NPSP) of size 2 are computationally complete, which immediately settles the question of designing computationally complete NPSPs of minimal size. With two more nodes we can simulate every nondeterministic Turing machine without increasing the time complexity. Particularly, we prove that NPSP of size 4 can accept all languages in NP in polynomial time. Furthermore, another computational model that is universal, namely the 2-tag system, can be simulated by NPSP of size 3 preserving the time complexity. All these results can be obtained with NPSPs with valuations in the set as well. We finally show that Turing machines can simulate a variant of NPSPs and discuss the time complexity of this simulation.
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.
Das Training sozioemotionaler Kompetenzen ist gerade für Menschen mit Autismus nützlich. Ein solches Training kann mithilfe einer spielbasierten Anwendung effektiv gestaltet werden. Zwei Minispiele, Mimikry und Emo-Mahjong, wurden realisiert und hinsichtlich User Experience evaluiert. Die jeweiligen Konzepte und die Evaluationsergebnisse sollen hier vorgestellt werden.
Physical computing covers the design and realization of interactive objects and installations and allows learners to develop concrete, tangible products of the real world, which arise from their imagination. This can be used in computer science education to provide learners with interesting and motivating access to the different topic areas of the subject in constructionist and creative learning environments. However, if at all, physical computing has so far mostly been taught in afternoon clubs or other extracurricular settings. Thus, for the majority of students so far there are no opportunities to design and create their own interactive objects in regular school lessons.
Despite its increasing popularity also for schools, the topic has not yet been clearly and sufficiently characterized in the context of computer science education. The aim of this doctoral thesis therefore is to clarify physical computing from the perspective of computer science education and to adequately prepare the topic both content-wise and methodologically for secondary school teaching. For this purpose, teaching examples, activities, materials and guidelines for classroom use are developed, implemented and evaluated in schools.
In the theoretical part of the thesis, first the topic is examined from a technical point of view. A structured literature analysis shows that basic concepts used in physical computing can be derived from embedded systems, which are the core of a large field of different application areas and disciplines. Typical methods of physical computing in professional settings are analyzed and, from an educational perspective, elements suitable for computer science teaching in secondary schools are extracted, e. g. tinkering and prototyping. The investigation and classification of suitable tools for school teaching show that microcontrollers and mini computers, often with extensions that greatly facilitate the handling of additional components, are particularly attractive tools for secondary education. Considering the perspectives of science, teachers, students and society, in addition to general design principles, exemplary teaching approaches for school education and suitable learning materials are developed and the design, production and evaluation of a physical computing construction kit suitable for teaching is described.
In the practical part of this thesis, with “My Interactive Garden”, an exemplary approach to integrate physical computing in computer science teaching is tested and evaluated in different courses and refined based on the findings in a design-based research approach. In a series of workshops on physical computing, which is based on a concept for constructionist professional development that is developed specifically for this purpose, teachers are empowered and encouraged to develop and conduct physical computing lessons suitable for their particular classroom settings. Based on their in-class experiences, a process model of physical computing teaching is derived. Interviews with those teachers illustrate that benefits of physical computing, including the tangibility of crafted objects and creativity in the classroom, outweigh possible drawbacks like longer preparation times, technical difficulties or difficult assessment. Hurdles in the classroom are identified and possible solutions discussed.
Empirical investigations in the different settings reveal that “My Interactive Garden” and physical computing in general have a positive impact, among others, on learner motivation, fun and interest in class and perceived competencies.
Finally, the results from all evaluations are combined to evaluate the design principles for physical computing teaching and to provide a perspective on the development of decision-making aids for physical computing activities in school education.
Ob Online-Kurse, videobasierte Lehrangebote, mobile Applikationen, eigenentwickelte oder kommerzielle Web 2.0-Anwendungen, die Fülle digitaler Unterstützungsangebote ist kaum zu überblicken. Dabei bieten mobile Endgeräte, Web-Anwendungen und Apps Chancen Lehre, Studium und Forschung maßgeblich neu zu gestalten. Im Beitrag wird ein Beschreibungsrahmen für die mediendidaktische Ausgestaltung von Lehr-, Lern- und Forschungsarrangements vorgestellt, der die technischen Gesichtspunkte hervorhebt. Anschließend werden unterschiedliche Nutzungsszenarien unter Einbeziehung digitaler Medien skizziert. Diese werden als Ausgangspunkt genommen um das Konzept einer Systemarchitektur vorzustellen, die es zum einen ermöglicht beliebige Applikationen automatisiert bereit zu stellen und zum anderen die anfallenden Nutzendendaten plattformübergreifend zu aggregieren und für eine Ausgestaltung virtueller Lehr- und Lernräumen zu nutzen.