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We study the sweep complexity of DFA in one-way jumping mode answering several questions posed earlier. This measure is the number of times in the worst case that such machines have to return to the beginning of their input after having…

Formal Languages and Automata Theory · Computer Science 2023-08-15 Szilárd Zsolt Fazekas , Robert Mercaş

We study 1-way quantum finite automata (QFAs) and compare them with their classical counterparts. We show that 1-way QFAs can be very space efficient. We construct a 1-way QFAs that are quadratically smaller than any equivalent…

Quantum Physics · Physics 2007-05-23 Arnolds Kikusts

A popular method for solving reachability in timed automata proceeds by enumerating reachable sets of valuations represented as zones. A na\"ive enumeration of zones does not terminate. Various termination mechanisms have been studied over…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Paul Gastin , Sayan Mukherjee , B Srivathsan

Quantum cellular automata are alternative quantum-computing paradigms to quantum Turing machines and quantum circuits. Their working mechanisms are inherently automated, therefore measurement free, and they act in a translation invariant…

Quantum Physics · Physics 2025-07-28 Thiago L. M. Guedes , Don Winter , Markus Müller

We investigate the decidability of the emptiness problem for three classes of distributed automata. These devices operate on finite directed graphs, acting as networks of identical finite-state machines that communicate in an infinite…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Antti Kuusisto , Fabian Reiter

Following some previous studies on restarting automata, we introduce a refined model - the h-lexicalized restarting automaton (h-RLWW). We argue that this model is useful for expressing lexicalized syntax in computational linguistics. We…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Martin Plátek , Friedrich Otto

We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is…

Group Theory · Mathematics 2007-05-23 Ievgen Bondarenko , Volodymyr Nekrashevych

This thesis is focused on techniques for finite automata and their use in practice, with the main emphasis on nondeterministic tree automata. This concerns namely techniques for size reduction and language inclusion testing, which are two…

Formal Languages and Automata Theory · Computer Science 2017-06-13 Lukáš Holík

We formally specified a program logic for higher-order procedural variables and non-local jumps with Ott and Twelf. Moreover, the dependent type systems and the translation are both executable specifications thanks to Twelf's logic…

Logic in Computer Science · Computer Science 2011-12-09 Tristan Crolard

In this note, we generalize the results of arXiv:0901.2703v1 We show that all one-way quantum finite automaton (QFA) models that are at least as general as Kondacs-Watrous QFA's are equivalent in power to classical probabilistic finite…

Computational Complexity · Computer Science 2010-09-20 Abuzer Yakaryilmaz , A. C. Cem Say

Plane-walking automata were introduced by Salo & T\"orma to recognise languages of two-dimensional infinite words (subshifts), the counterpart of $4$-way finite automata for two-dimensional finite words. We extend the model to allow for…

Formal Languages and Automata Theory · Computer Science 2025-02-18 Benjamin Hellouin de Menibus , Pacôme Perrotin

Nondeterministic weighted automata are finite automata with numerical weights on transitions. They define quantitative languages L that assign to each word w a real number L(w). The value of an infinite word w is computed as the maximal…

Logic in Computer Science · Computer Science 2009-09-10 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

Here we propose an extension of the (deterministic and the nondeterministic) finite automaton with translucent letters (DFAwtl and NFAwtl), which lies between these automata and their non-returning variants (that is, the nr-DFAwtl and the…

Formal Languages and Automata Theory · Computer Science 2024-09-12 František Mráz , Friedrich Otto

Deciding formulas mixing arithmetic and uninterpreted predicates is of practical interest, notably for applications in verification. Some decision procedures consist in building by structural induction an automaton that recognizes the set…

Logic in Computer Science · Computer Science 2023-06-08 Bernard Boigelot , Pascal Fontaine , Baptiste Vergain

This paper introduces a class of objects called decision rules that map infinite sequences of alternatives to a decision space. These objects can be used to model situations where a decision maker encounters alternatives in a sequence such…

Theoretical Economics · Economics 2022-09-12 Bhavook Bhardwaj , Siddharth Chatterjee

We propose an approach that connects recurrent networks with different orders of hidden interaction with regular grammars of different levels of complexity. We argue that the correspondence between recurrent networks and formal…

Machine Learning · Computer Science 2019-11-13 Qinglong Wang , Kaixuan Zhang , Xue Liu , C. Lee Giles

These lecture notes cover basic automata-theoretic concepts and logical formalisms for the modeling and verification of concurrent and distributed systems. Many of these concepts naturally extend the classical automata and logics over…

Logic in Computer Science · Computer Science 2021-10-19 Benedikt Bollig , Paul Gastin

This paper introduces a new algorithm for the induction if complex finite state automata from samples of behavior. The algorithm is based on information theoretic principles. The algorithm reduces the search space by many orders of…

Artificial Intelligence · Computer Science 2013-02-08 Matthew S. Collins , Jonathan Oliver

We introduce a new type of shift dynamics as an extended model of symbolic dynamics, and investigate the characteristics of shift spaces from the viewpoints of both dynamics and computation. This shift dynamics is called a functional shift…

Chaotic Dynamics · Physics 2009-11-10 Jun Namikawa , Takashi Hashimoto

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

Cryptography and Security · Computer Science 2022-06-08 Johan Arcile , Étienne André