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Extensions to finite-state automata on strings, such as multi-head automata or multi-counter automata, have been successfully used to encode many infinite-state non-regular verification problems. In this paper, we consider a generalization…

Formal Languages and Automata Theory · Computer Science 2015-09-25 Rayna Dimitrova , Rupak Majumdar

We introduce the problem of temporal coverability for realizability and synthesis. Namely, given a language of words that must be covered by a produced system, how to automatically produce such a system. We consider the case of coverability…

Logic in Computer Science · Computer Science 2018-04-11 Krishnendu Chatterjee , Nir Piterman

We study the emptiness and $\lambda$-reachability problems for unary and binary Probabilistic Finite Automata (PFA) and characterise the complexity of these problems in terms of the degree of ambiguity of the automaton and the size of its…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Paul C. Bell , Pavel Semukhin

Recently, an infinite hierarchy of languages accepted by stateless deterministic pushdown automata has been established based on the number of pushdown symbols. However, the witness language for the n-th level of the hierarchy is over an…

Formal Languages and Automata Theory · Computer Science 2012-08-27 Tomáš Masopust

We show the surprising result that the cutpoint isolation problem is decidable for Probabilistic Finite Automata (PFA) where input words are taken from a letter-bounded context-free language. A context-free language $\mathcal{L}$ is…

Formal Languages and Automata Theory · Computer Science 2020-05-15 Paul C. Bell , Pavel Semukhin

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

This paper presents a solution to the automatic task planning problem for multi-agent systems. A formal framework is developed based on the Nondeterministic Finite Automata with $\epsilon$-transitions, where given the capabilities,…

Robotics · Computer Science 2025-09-04 Anatoli A. Tziola , Savvas G. Loizou

We introduce partially ordered two-way B\"uchi automata and characterize their expressive power in terms of fragments of first-order logic FO[<]. Partially ordered two-way B\"uchi automata are B\"uchi automata which can change the direction…

Formal Languages and Automata Theory · Computer Science 2015-05-19 Manfred Kufleitner , Alexander Lauser

The RPNI algorithm (Oncina, Garcia 1992) constructs deterministic finite automata from finite sets of negative and positive example words. We propose and analyze an extension of this algorithm to deterministic $\omega$-automata with…

Formal Languages and Automata Theory · Computer Science 2021-08-10 León Bohn , Christof Löding

We introduce and study the repetitive variants of the deterministic and the nondeterministic finite automaton with translucent words (DFAwtw and NFAwtw). On seeing the right sentinel, a repetitive NFAwtw need not halt immediately, accepting…

Formal Languages and Automata Theory · Computer Science 2025-07-22 František Mráz , Friedrich Otto

We investigate hyper-minimization for deterministic register automata (DRAs). We begin by introducing DRA counterparts of classical notions from deterministic finite automata. Building on these foundations, we present an algorithm for…

Formal Languages and Automata Theory · Computer Science 2026-05-06 Yong Li , Qiyi Tang , Di-De Yen

We consider finite two-way automata and measure the use of two-way motion by counting the number of left moves in accepting computations. Restriction of the automata according to this measure allows us to study in detail the use of two-way…

Formal Languages and Automata Theory · Computer Science 2014-09-23 David Damanik

Multi-head finite automata were introduced in (Rabin, 1964) and (Rosenberg, 1966). Since that time, a vast literature on computational and descriptional complexity issues on multi-head finite automata documenting the importance of these…

Computational Complexity · Computer Science 2009-06-19 Markus Holzer , Martin Kutrib , Andreas Malcher

We study extremal and algorithmic questions of subset and careful synchronization in monotonic automata. We show that several synchronization problems that are hard in general automata can be solved in polynomial time in monotonic automata,…

Formal Languages and Automata Theory · Computer Science 2017-11-27 Andrew Ryzhikov , Anton Shemyakov

Automata operating on strings of nested brackets, known as input-driven pushdown automata, and as visibly pushdown automata, have been studied since the 1980s. They were extended to the case of infinite strings by Alur and Madhusudan…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Alexander Okhotin , Victor L. Selivanov

We introduce deterministic suffix-reading automata (DSA), a new automaton model over finite words. Transitions in a DSA are labeled with words. From a state, a DSA triggers an outgoing transition on seeing a word ending with the…

Formal Languages and Automata Theory · Computer Science 2024-10-31 R Keerthan , B Srivathsan , R Venkatesh , Sagar Verma

We investigate a dynamical complexity measure defined for finite automata with translucent letters (FAwtl). Roughly, this measure counts the minimal number of necessary jumps for such an automaton in order to accept an input. The model…

Formal Languages and Automata Theory · Computer Science 2025-06-24 Szilárd Zsolt Fazekas , Victor Mitrana , Andrei Păun , Mihaela Păun

When their reading heads are allowed to move completely asynchronously, finite-state automata with multiple tapes achieve a significant expressive power, but also lose useful closure properties---closure under intersection, in particular.…

Logic in Computer Science · Computer Science 2014-02-14 Carlo A. Furia

We introduce a nominal actor-based language and study its expressive power. We have identified the presence/absence of fields as a crucial feature: the dynamic creation of names in combination with fields gives rise to Turing completeness.…

Programming Languages · Computer Science 2015-07-01 Frank De Boer , Mahdi Jaghoori , Cosimo Laneve , Gianluigi Zavattaro

Semi-automata are abstractions of electronic devices that are deterministic finite-state machines having inputs but no outputs. Generalized semiautomata are obtained from stochastic semiautomata by dropping the restrictions imposed by…

Formal Languages and Automata Theory · Computer Science 2020-04-21 Merve Nur Cakir , Karl-Heinz Zimmermann