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The power of real-time Turing machines using sublinear space is investigated. In contrast to a claim appearing in the literature, such machines can accept non-regular languages, even if working in deterministic mode. While maintaining a…

Computational Complexity · Computer Science 2019-02-05 Holger Petersen

We study explorability, a measure of nondeterminism in pushdown automata, which generalises history-determinism. An automaton is k-explorable if, while reading the input, it suffices to follow k concurrent runs, built step-by-step based…

Formal Languages and Automata Theory · Computer Science 2025-11-07 Ayaan Bedi , Karoliina Lehtinen

We study an extension of Zielonka's (fixed) asynchronous automata called reconfigurable asynchronous automata where processes can dynamically change who they communicate with. We show that reconfigurable asynchronous automata are not more…

Formal Languages and Automata Theory · Computer Science 2026-05-13 Mathieu Lehaut , Nir Piterman

This paper establishes relative expressiveness results for several modal mu-calculi interpreted over timed automata. These mu-calculi combine modalities for expressing passage of (real) time with a general framework for defining formulas…

Logic in Computer Science · Computer Science 2025-08-08 Rance Cleaveland , Jeroen J. A. Keiren , Peter Fontana

Automated theorem proving, or more broadly automated reasoning, aims at using computer programs to automatically prove or disprove mathematical theorems and logical statements. It takes on an essential role across a vast array of…

Quantum Physics · Physics 2026-01-14 Zheng-Zhi Sun , Qi Ye , Dong-Ling Deng

Nonuniform families of polynomial-size finite automata and pushdown automata respectively have strong connections to nonuniform-NL and nonuniform-LOGCFL. We examine the behaviors of unambiguous and co-nondeterministic computations produced…

Computational Complexity · Computer Science 2025-12-16 Tomoyuki Yamakami

Weighted automata (WA) are an important formalism to describe quantitative properties. Obtaining equivalent deterministic machines is a longstanding research problem. In this paper we consider WA with a set semantics, meaning that the…

Formal Languages and Automata Theory · Computer Science 2017-01-18 Laure Daviaud , Ismael Jecker , Pierre-Alain Reynier , Didier Villevalois

One-to-one reversible automata are introduced. Their applicability to a modelling of the quantum mechanical measurement process is discussed.

Quantum Physics · Physics 2009-04-16 Karl Svozil

Reversible computing is a new paradigm that has emerged recently and extends the traditional forwards-only computing mode with the ability to execute in backwards, so that computation can run in reverse as easily as in forward. Two…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Nataliya Gribovskaya , Irina Virbitskaite

Turing's famous `machine' model constitutes the first intuitively convincing framework for computing with real numbers. Kleene's computation schemes S1-S9 extend Turing's approach to computing with objects of any finite type. Both…

Logic · Mathematics 2021-11-10 Sam Sanders

Predicate intuitionistic logic is a well established fragment of dependent types. According to the Curry-Howard isomorphism proof construction in the logic corresponds well to synthesis of a program the type of which is a given formula. We…

Logic in Computer Science · Computer Science 2016-08-22 Maciej Zielenkiewicz , Aleksy Schubert

We study the expressive power of polynomial recursive sequences, a nonlinear extension of the well-known class of linear recursive sequences. These sequences arise naturally in the study of nonlinear extensions of weighted automata, where…

Formal Languages and Automata Theory · Computer Science 2020-02-21 Michaël Cadilhac , Filip Mazowiecki , Charles Paperman , Michał Pilipczuk , Géraud Sénizergues

We give extensional and intensional characterizations of functional programs with nondeterminism: as structure preserving functions between biorders, and as nondeterministic sequential algorithms on ordered concrete data structures which…

Logic in Computer Science · Computer Science 2023-06-22 James Laird

Deutsch, Feynman, and Manin viewed quantum computing as a kind of universal physical simulation procedure. Much of the writing about quantum Turing machines has shown how these machines can simulate an arbitrary unitary transformation on a…

Quantum Physics · Physics 2007-05-23 Willem Fouché , Johannes Heidema , Glyn Jones , Petrus H. Potgieter

This paper introduces and investigates decision problems for numberless probabilistic automata, i.e. probabilistic automata where the support of each probabilistic transitions is specified, but the exact values of the probabilities are not.…

Formal Languages and Automata Theory · Computer Science 2017-09-12 Nathanaël Fijalkow , Hugo Gimbert , Florian Horn , Youssouf Oualhadj

An overview of the recursive equations based models and their applications in simulation based analysis and optimization of queueing systems is given. These models provide a variety of systems with a convenient and unified representation in…

Numerical Analysis · Mathematics 2012-10-31 Nikolai K. Krivulin

Any algorithm (in the sense of Gurevich's abstract-state-machine axiomatization of classical algorithms) operating over any arbitrary unordered domain can be simulated by a dynamic cellular automaton, that is, by a pattern-directed cellular…

Logic in Computer Science · Computer Science 2015-04-14 Nachum Dershowitz , Evgenia Falkovich

To every generalized urn model there exists a finite (Mealy) automaton with identical propositional calculus. The converse is true as well.

Quantum Physics · Physics 2007-05-23 Karl Svozil

A novel computing model, called \emph{Probe Machine}, is proposed in this paper. Different from Turing Machine, Probe Machine is a fully-parallel computing model in the sense that it can simultaneously process multiple pairs of data, rather…

Computational Complexity · Computer Science 2016-03-01 Jin Xu

MemComputing is a new model of computation that exploits the non-equilibrium property-we call 'memory'-of any physical system to respond to external perturbations by keeping track of how it has reacted at previous times. Its digital,…

Disordered Systems and Neural Networks · Physics 2025-12-05 Massimiliano Di Ventra
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