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While the complexity of translating future linear temporal logic (LTL) into automata on infinite words is well-understood, the size increase involved in turning automata back to LTL is not. In particular, there is no known elementary bound…

Formal Languages and Automata Theory · Computer Science 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

We study deterministic tree-walking-storage automata, which are finite-state devices equipped with a tree-like storage. These automata are generalized stack automata, where the linear stack storage is replaced by a non-linear tree-like…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Martin Kutrib , Uwe Meyer

A discounted-sum automaton (NDA) is a nondeterministic finite automaton with edge weights, valuing a run by the discounted sum of visited edge weights. More precisely, the weight in the i-th position of the run is divided by $\lambda^i$,…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Udi Boker , Thomas A. Henzinger

We consider pushdown timed automata (PTAs) that are timed automata (with dense clocks) augmented with a pushdown stack. A configuration of a PTA includes a control state, dense clock values and a stack word. By using the pattern technique,…

Logic in Computer Science · Computer Science 2007-05-23 Zhe Dang

In this paper, we present a proof of the NP-completeness of computing the smallest Deterministic Finite Automaton (DFA) that distinguishes two given regular languages as DFAs. A distinguishing DFA is an automaton that recognizes a language…

Formal Languages and Automata Theory · Computer Science 2023-06-07 Jan Martens

In this paper we define a new model of limited communication for multiplayer team games of imperfect information. We prove that the Team DFA Game and Team Formula Game, which have bounded state, remain undecidable when players have a rate…

Computational Complexity · Computer Science 2022-09-22 Michael Coulombe , Jayson Lynch

We propose an extension of the zone-based algorithmics for analyzing timed automata to handle systems where timing uncertainty is considered as probabilistic rather than set-theoretic. We study duration probabilistic automata (DPA),…

Formal Languages and Automata Theory · Computer Science 2010-11-02 Oded Maler , Kim G. Larsen , Bruce H. Krogh

We present a few results and several open problems concerning complete deterministic finite automata in which every non-empty subset of the state set occurs as the image of the whole state set under the action of a suitable input word.

Formal Languages and Automata Theory · Computer Science 2016-07-05 Evgenija Bondar , Mikhail Volkov

A process algebra is proposed, whose semantics maps a term to a nondeterministic finite automaton (NFA, for short). We prove a representability theorem: for each NFA $N$, there exists a process algebraic term $p$ such that its semantics is…

Formal Languages and Automata Theory · Computer Science 2024-02-02 Roberto Gorrieri

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Benedek Nagy , Walaa Yasin

We discuss the problem of learning a deterministic finite automaton (DFA) from a confidence oracle. That is, we are given access to an oracle $Q$ with incomplete knowledge of some target language $L$ over an alphabet $\Sigma$; the oracle…

Formal Languages and Automata Theory · Computer Science 2023-11-21 Wilson Wu

Timed automata (TA) have been widely adopted as a suitable formalism to model time-critical systems. Furthermore, contemporary model-checking tools allow the designer to check whether a TA complies with a system specification. However, the…

Logic in Computer Science · Computer Science 2023-06-22 Jaroslav Bendík , Ahmet Sencan , Ebru Aydin Gol , Ivana Černá

We define a special class of hybrid automata, called Deterministic and Transversal Linear Hybrid Automata (DTLHA), whose continuous dynamics in each location are linear time-invariant (LTI) with a constant input, and for which every…

Systems and Control · Computer Science 2012-05-16 Kyoung-Dae Kim , Sayan Mitra , P. R. Kumar

While many applications of automata in formal methods can use nondeterministic automata, some applications, most notably synthesis, need deterministic or good-for-games (GFG) automata. The latter are nondeterministic automata that can…

Logic in Computer Science · Computer Science 2023-06-22 Bader Abu Radi , Orna Kupferman

It is well known that for a given bottom-up tree automaton it can be decided whether or not there exists deterministic top-down tree automaton that recognized the same tree language. Recently it was claimed that such a decision can be…

Formal Languages and Automata Theory · Computer Science 2023-06-02 Sebastian Maneth , Helmut Seidl

We consider decision problems for relations over finite and infinite words defined by finite automata. We prove that the equivalence problem for binary deterministic rational relations over infinite words is undecidable in contrast to the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Christof Löding , Christopher Spinrath

We propose a new model of a distributed game, called an ATS game, which is played on a non-deterministic asynchronous transition system -- a natural distributed finite-state device working on Mazurkiewicz traces. This new…

Formal Languages and Automata Theory · Computer Science 2024-10-18 Bharat Adsul , Nehul Jain

Good-for-MDPs and good-for-games automata are two recent classes of nondeterministic automata that reside between general nondeterministic and deterministic automata. Deterministic automata are good-for-games, and good-for-games automata…

Formal Languages and Automata Theory · Computer Science 2023-07-24 Sven Schewe , Qiyi Tang

We show that a special case of the Feferman-Vaught composition theorem gives rise to a natural notion of automata for finite words over an infinite alphabet, with good closure and decidability properties, as well as several logical…

Logic in Computer Science · Computer Science 2015-07-01 Alexis Bès

A specification theory combines notions of specifications and implementations with a satisfaction relation, a refinement relation and a set of operators supporting stepwise design. We develop a complete specification framework for real-time…

Formal Languages and Automata Theory · Computer Science 2023-07-14 Martijn A. Goorden , Kim G. Larsen , Axel Legay , Florian Lorber , Ulrik Nyman , Andrzej Wasowski