TY - JOUR A1 - Bordihn, Henning A1 - Vaszil, György T1 - Reversible parallel communicating finite automata systems JF - Acta informatica N2 - We study the concept of reversibility in connection with parallel communicating systems of finite automata (PCFA in short). We define the notion of reversibility in the case of PCFA (also covering the non-deterministic case) and discuss the relationship of the reversibility of the systems and the reversibility of its components. We show that a system can be reversible with non-reversible components, and the other way around, the reversibility of the components does not necessarily imply the reversibility of the system as a whole. We also investigate the computational power of deterministic centralized reversible PCFA. We show that these very simple types of PCFA (returning or non-returning) can recognize regular languages which cannot be accepted by reversible (deterministic) finite automata, and that they can even accept languages that are not context-free. We also separate the deterministic and non-deterministic variants in the case of systems with non-returning communication. We show that there are languages accepted by non-deterministic centralized PCFA, which cannot be recognized by any deterministic variant of the same type. KW - Finite automata KW - Reversibility KW - Systems of parallel communicating KW - automata Y1 - 2021 U6 - https://doi.org/10.1007/s00236-021-00396-9 SN - 0001-5903 SN - 1432-0525 VL - 58 IS - 4 SP - 263 EP - 279 PB - Springer CY - Berlin ; Heidelberg ; New York, NY ER - TY - JOUR A1 - Bordihn, Henning A1 - Holzer, Markus T1 - On the number of active states in finite automata JF - Acta informatica N2 - We introduce a new measure of descriptional complexity on finite automata, called the number of active states. Roughly speaking, the number of active states of an automaton A on input w counts the number of different states visited during the most economic computation of the automaton A for the word w. This concept generalizes to finite automata and regular languages in a straightforward way. We show that the number of active states of both finite automata and regular languages is computable, even with respect to nondeterministic finite automata. We further compare the number of active states to related measures for regular languages. In particular, we show incomparability to the radius of regular languages and that the difference between the number of active states and the total number of states needed in finite automata for a regular language can be of exponential order. Y1 - 2021 U6 - https://doi.org/10.1007/s00236-021-00397-8 SN - 0001-5903 SN - 1432-0525 VL - 58 IS - 4 SP - 301 EP - 318 PB - Springer CY - Berlin ; Heidelberg [u.a.] ER - TY - JOUR A1 - Bordihn, Henning A1 - Vaszil, György T1 - Deterministic Lindenmayer systems with dynamic control of parallelism JF - International journal of foundations of computer science N2 - M-rate 0L systems are interactionless Lindenmayer systems together with a function assigning to every string a set of multisets of productions that may be applied simultaneously to the string. Some questions that have been left open in the forerunner papers are examined, and the computational power of deterministic M-rate 0L systems is investigated, where also tabled and extended variants are taken into consideration. KW - parallel rewriting KW - Lindenmayer systems KW - restricted parallelism KW - determinism KW - developmental systems KW - formal languages Y1 - 2019 U6 - https://doi.org/10.1142/S0129054120400031 SN - 0129-0541 SN - 1793-6373 VL - 31 IS - 1 SP - 37 EP - 51 PB - World Scientific CY - Singapore ER - TY - JOUR A1 - Bordihn, Henning A1 - Mitrana, Victor T1 - On the degrees of non-regularity and non-context-freeness JF - Journal of computer and system sciences N2 - We study the derivational complexity of context-free and context-sensitive grammars by counting the maximal number of non-regular and non-context-free rules used in a derivation, respectively. The degree of non-regularity/non-context-freeness of a language is the minimum degree of non-regularity/non-context-freeness of context-free/context-sensitive grammars generating it. A language has finite degree of non-regularity iff it is regular. We give a condition for deciding whether the degree of non-regularity of a given unambiguous context-free grammar is finite. The problem becomes undecidable for arbitrary linear context-free grammars. The degree of non-regularity of unambiguous context-free grammars generating non-regular languages as well as that of grammars generating deterministic context-free languages that are not regular is of order Omega(n). Context-free non-regular languages of sublinear degree of non-regularity are presented. A language has finite degree of non-context-freeness if it is context-free. Context-sensitive grammars with a quadratic degree of non-context-freeness are more powerful than those of a linear degree. KW - context-free grammar KW - degree of non-regularity KW - context-sensitive KW - grammar KW - degree of non-context-freeness Y1 - 2020 U6 - https://doi.org/10.1016/j.jcss.2019.09.003 SN - 0022-0000 SN - 1090-2724 VL - 108 SP - 104 EP - 117 PB - Elsevier CY - San Diego, Calif. [u.a.] ER - TY - JOUR A1 - Bordihn, Henning A1 - Mitrana, Victor A1 - Paun, Andrei A1 - Paun, Mihaela T1 - Hairpin completions and reductions BT - semilinearity properties JF - Natural computing : an innovative journal bridging biosciences and computer sciences ; an international journal N2 - This paper is part of the investigation of some operations on words and languages with motivations coming from DNA biochemistry, namely three variants of hairpin completion and three variants of hairpin reduction. Since not all the hairpin completions or reductions of semilinear languages remain semilinear, we study sufficient conditions for semilinear languages to preserve their semilinearity property after applying the non-iterated hairpin completion or hairpin reduction. A similar approach is then applied to the iterated variants of these operations. Along these lines, we define the hairpin reduction root of a language and show that the hairpin reduction root of a semilinear language is not necessarily semilinear except the universal language. A few open problems are finally discussed. KW - DNA hairpin formation KW - Hairpin completions KW - Hairpin reductions KW - Semilinearity property Y1 - 2020 U6 - https://doi.org/10.1007/s11047-020-09797-0 SN - 1572-9796 VL - 20 IS - 2 SP - 193 EP - 203 PB - Springer Science + Business Media B.V. CY - Dordrecht ER - TY - GEN A1 - Bordihn, Henning A1 - Nagy, Benedek A1 - Vaszil, György T1 - Preface: Non-classical models of automata and applications VIII T2 - RAIRO-Theoretical informatics and appli and applications Y1 - 2018 U6 - https://doi.org/10.1051/ita/2018019 SN - 0988-3754 SN - 1290-385X VL - 52 IS - 2-4 SP - 87 EP - 88 PB - EDP Sciences CY - Les Ulis ER - TY - JOUR A1 - Bordihn, Henning A1 - Mitrana, Victor A1 - Negru, Maria C. A1 - Paun, Andrei A1 - Paun, Mihaela T1 - Small networks of polarized splicing processors are universal JF - Natural computing : an innovative journal bridging biosciences and computer sciences ; an international journal N2 - 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. KW - Computing with DNA KW - Splicing KW - Splicing processor KW - Polarization KW - 2-tag system KW - Turing machine Y1 - 2018 U6 - https://doi.org/10.1007/s11047-018-9691-0 SN - 1567-7818 SN - 1572-9796 VL - 17 IS - 4 SP - 799 EP - 809 PB - Springer CY - Dordrecht ER - TY - JOUR A1 - Pablo Alarcon, Pedro A1 - Arroyo, Fernando A1 - Bordihn, Henning A1 - Mitrana, Victor A1 - Mueller, Mike T1 - Ambiguity of the multiple interpretations on regular languages JF - Fundamenta informaticae N2 - A multiple interpretation scheme is an ordered sequence of morphisms. The ordered multiple interpretation of a word is obtained by concatenating the images of that word in the given order of morphisms. The arbitrary multiple interpretation of a word is the semigroup generated by the images of that word. These interpretations are naturally extended to languages. Four types of ambiguity of multiple interpretation schemata on a language are defined: o-ambiguity, internal ambiguity, weakly external ambiguity and strongly external ambiguity. We investigate the problem of deciding whether a multiple interpretation scheme is ambiguous on regular languages. KW - Multiple interpretation scheme KW - regular language KW - o-ambiguity KW - internal ambiguity KW - external ambiguity Y1 - 2015 U6 - https://doi.org/10.3233/FI-2015-1200 SN - 0169-2968 SN - 1875-8681 VL - 138 IS - 1-2 SP - 85 EP - 95 PB - IOS Press CY - Amsterdam ER - TY - JOUR A1 - Bordihn, Henning A1 - Kutrib, Martin A1 - Malcher, Andreas T1 - On the computational capacity of parallel communicating finite automata JF - International journal of foundations of computer science N2 - Systems of parallel finite automata communicating by states are investigated. We consider deterministic and nondeterministic devices and distinguish four working modes. It is known that systems in the most general mode are as powerful as one-way multi-head finite automata. Here we solve some open problems on the computational capacity of systems working in the remaining modes. In particular, it is shown that deterministic returning and non-returning devices are equivalent, and that there are languages which are accepted by deterministic returning and centralized systems but cannot be accepted by deterministic non-returning centralized systems. Furthermore, we show that nondeterministic systems are strictly more powerful than their deterministic variants in all the four working modes. Finally, incomparability with the classes of (deterministic) (linear) context-free languages as well as the Church-Rosser languages is derived. KW - Automata systems KW - cooperating systems KW - formal languages KW - theory of computation Y1 - 2012 U6 - https://doi.org/10.1142/S0129054112500062 SN - 0129-0541 VL - 23 IS - 3 SP - 713 EP - 732 PB - World Scientific CY - Singapore ER - TY - THES A1 - Bordihn, Henning T1 - Contributions to the syntactical analysis beyond context-freeness T1 - Beiträge zur syntaktischen Analyse nicht-kontextfreier Sprachen N2 - Parsability approaches of several grammar formalisms generating also non-context-free languages are explored. Chomsky grammars, Lindenmayer systems, grammars with controlled derivations, and grammar systems are treated. Formal properties of these mechanisms are investigated, when they are used as language acceptors. Furthermore, cooperating distributed grammar systems are restricted so that efficient deterministic parsing without backtracking becomes possible. For this class of grammar systems, the parsing algorithm is presented and the feature of leftmost derivations is investigated in detail. N2 - Ansätze zum Parsing verschiedener Grammatikformalismen, die auch nicht-kontextfreie Sprachen erzeugen können, werden diskutiert. Chomsky-Grammatiken, Lindenmayer-Systeme, Grammatiken mit gesteuerten Ersetzungen und Grammatiksysteme werden behandelt. Formale Eigenschaften dieser Mechanismen als Akzeptoren von Sprachen werden untersucht. Weiterhin werden kooperierende verteilte (CD) Grammatiksysteme derart beschränkt, dass effizientes deterministisches Parsing ohne Backtracking möglich ist. Für diese Klasse von Grammatiksystemen wird der Parsingalgorithmus vorgestellt und die Rolle von Linksableitungen wird detailliert betrachtet. KW - Parsing KW - Akzeptierende Grammatiken KW - Gesteuerte Ableitungen KW - Grammatiksysteme KW - Linksableitungen KW - Parsing KW - Accepting Grammars KW - Controlled Derivations KW - Grammar Systems KW - Leftmost Derivations Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59719 ER -