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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…

形式语言与自动机理论 · 计算机科学 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

First-order linear temporal logic (FOLTL) is a flexible and expressive formalism capable of naturally describing complex behaviors and properties. Although the logic is in general highly undecidable, the idea of using it as a specification…

计算机科学中的逻辑 · 计算机科学 2024-05-31 Luca Geatti , Alessandro Gianola , Nicola Gigante

We consider probabilistic automata on infinite words with acceptance defined by parity conditions. We consider three qualitative decision problems: (i) the positive decision problem asks whether there is a word that is accepted with…

形式语言与自动机理论 · 计算机科学 2011-07-12 Krishnendu Chatterjee , Mathieu Tracol

Zero automata are a probabilistic extension of parity automata on infinite trees. The satisfiability of a certain probabilistic variant of mso, called tmso + zero, reduces to the emptiness problem for zero automata. We introduce a variant…

形式语言与自动机理论 · 计算机科学 2017-03-29 Mikolaj Bojańczyk , Hugo Gimbert , Edon Kelmendi

We introduce a new class of automata (which we coin EU-automata) running on infininte trees of arbitrary (finite) arity. We develop and study several algorithms to perform classical operations (union, intersection, complement, projection,…

计算机科学中的逻辑 · 计算机科学 2026-02-27 François Laroussinie , Nicolas Markey

The aim of this work is to thoroughly investigate Buchi automata augmented with spatial constraints. The input trees of such an automaton are infinite k-ary Sigma-trees, with the nodes standing for time points, and Sigma including,…

形式语言与自动机理论 · 计算机科学 2020-02-27 Amar Isli

In this paper, we propose a procedure that given an integer reset timed automaton (IRTA) ${\cal A}$, produces a language equivalent deterministic one clock IRTA ${\cal B}$ whose size is at most doubly exponential in the size of ${\cal A}$.…

形式语言与自动机理论 · 计算机科学 2010-01-11 Lakshmi Manasa , Krishna. S

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Alexei Lisitsa , Igor Potapov

We exhibit the construction of a deterministic automaton that, given k > 0, recognizes the (regular) language of k-differentiable words. Our approach follows a scheme of Crochemore et al. based on minimal forbidden words. We extend this…

离散数学 · 计算机科学 2015-03-18 Jean-Marc Fédou , Gabriele Fici

History-deterministic automata are those in which nondeterministic choices can be correctly resolved stepwise: there is a strategy to select a continuation of a run given the next input letter so that if the overall input word admits some…

形式语言与自动机理论 · 计算机科学 2026-04-01 Soumyajit Paul , David Purser , Sven Schewe , Qiyi Tang , Patrick Totzke , Di-De Yen

Parikh automata extend finite automata by counters that can be tested for membership in a semilinear set, but only at the end of a run, thereby preserving many of the desirable algorithmic properties of finite automata. Here, we study the…

形式语言与自动机理论 · 计算机科学 2022-12-21 Shibashis Guha , Ismaël Jecker , Karoliina Lehtinen , Martin Zimmermann

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…

计算机科学中的逻辑 · 计算机科学 2009-09-10 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

We explore the notion of history-determinism in the context of timed automata (TA) over infinite timed words. History-deterministic (HD) automata are those in which nondeterminism can be resolved on the fly, based on the run constructed…

形式语言与自动机理论 · 计算机科学 2024-10-16 Sougata Bose , Thomas A. Henzinger , Karoliina Lehtinen , Sven Schewe , Patrick Totzke

We present a new and powerful class of automata which are explicitly concurrent and allow a very simple definition of composition. The novelty of these automata is their time-synchronous message-asynchronous communication mechanism. Time…

形式语言与自动机理论 · 计算机科学 2014-11-25 Radu Grosu , Bernhard Rumpe

Parametric timed automata (PTA) extend timed automata with unknown constants ("parameters"), at the price of undecidability of most interesting problems. The (untimed) language preservation problem ("given a parameter valuation, can we find…

形式语言与自动机理论 · 计算机科学 2018-12-24 Étienne André , Shang-Wei Lin

Deterministic synchronous systems consisting of two finite automata running in opposite directions on a shared read-only input are studied with respect to their ability to perform reversible computations, which means that the automata are…

形式语言与自动机理论 · 计算机科学 2023-09-07 Martin Kutrib , Andreas Malcher

Promise problems were mainly studied in quantum automata theory. Here we focus on state complexity of classical automata for promise problems. First, it was known that there is a family of unary promise problems solvable by quantum automata…

形式语言与自动机理论 · 计算机科学 2014-10-17 Viliam Geffert , Abuzer Yakaryilmaz

Deterministic one-way time-bounded multi-counter automata are studied with respect to their ability to perform reversible computations, which means that the automata are also backward deterministic and, thus, are able to uniquely step the…

形式语言与自动机理论 · 计算机科学 2022-09-01 Martin Kutrib , Andreas Malcher

Event clock automata (ECA) are a model for timed languages that has been introduced by Alur, Fix and Henzinger as an alternative to timed automata, with better theoretical properties (for instance, ECA are determinizable while timed…

计算机科学中的逻辑 · 计算机科学 2011-07-26 Gilles Geeraerts , Jean-François Raskin , Nathalie Sznajder

The regular separability problem asks, for two given languages, if there exists a regular language including one of them but disjoint from the other. Our main result is decidability, and PSpace-completeness, of the regular separability…

形式语言与自动机理论 · 计算机科学 2023-06-22 Wojciech Czerwiński , Sławomir Lasota