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The class of Boolean combinations of tree languages recognized by deterministic top-down tree automata (also known as deterministic root-to-frontier automata) is studied. The problem of determining for a given regular tree language whether…

Formal Languages and Automata Theory · Computer Science 2024-01-15 Christof Löding , Wolfgang Thomas

Deterministic timed automata are strictly less expressive than their non-deterministic counterparts, which are again less expressive than those with silent transitions. As a consequence, timed automata are in general non-determinizable.…

Formal Languages and Automata Theory · Computer Science 2015-08-17 Florian Lorber , Amnon Rosenmann , Dejan Nickovic , Bernhard Aichernig

In this paper we deal with verification of safety properties of term-rewriting systems. The verification problem is translated to a purely logical problem of finding a finite countermodel for a first-order formula, which further resolved by…

Logic in Computer Science · Computer Science 2011-07-05 Alexei Lisitsa

Alternating timed automata (ATA) are an extension of timed automata, that are closed under complementation and hence amenable to logic-to-automata translations. Several timed logics, including Metric Temporal Logic (MTL), can be converted…

Logic in Computer Science · Computer Science 2026-01-07 Patricia Bouyer , B Srivathsan , Vaishnavi Vishwanath

Extensions of {\omega}-automata to infinite alphabets typically rely on symbolic guards to keep the transition relation finite, and on registers or memory cells to preserve information from past symbols. Symbolic transitions alone are…

Formal Languages and Automata Theory · Computer Science 2025-12-03 Luca Di Stefano

Logic languages based on the theory of rational, possibly infinite, trees have much appeal in that rational trees allow for faster unification (due to the safe omission of the occurs-check) and increased expressivity (cyclic terms can…

Programming Languages · Computer Science 2007-05-23 Roberto Bagnara , Roberta Gori , Patricia M. Hill , Enea Zaffanella

We examine verification of concurrent programs under the total store ordering (TSO) semantics used by the x86 architecture. In our model, threads manipulate variables over infinite domains and they can check whether variables are related…

Formal Languages and Automata Theory · Computer Science 2024-01-22 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Florian Furbach , Shashwat Garg

We explore the idea of using finite automata to implement new constraints for local search (this is already a successful technique in constraint-based global search). We show how it is possible to maintain incrementally the violations of a…

Artificial Intelligence · Computer Science 2009-10-08 Jun He , Pierre Flener , Justin Pearson

Reachability and LTL model-checking problems for flat counter systems are known to be decidable but whereas the reachability problem can be shown in NP, the best known complexity upper bound for the latter problem is made of a tower of…

Logic in Computer Science · Computer Science 2015-03-20 Stéphane Demri , Amit Kumar Dhar , Arnaud sangnier

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

Most autonomous robotic agents use logic inference to keep themselves to safe and permitted behaviour. Given a set of rules, it is important that the robot is able to establish the consistency between its rules, its perception-based…

Robotics · Computer Science 2016-11-11 Hongyang Qu , Sandor M. Veres

We investigate the satisfiability and finite satisfiability problem for probabilistic computation-tree logic (PCTL) where operators are not restricted by any step bounds. We establish decidability for several fragments containing…

Logic in Computer Science · Computer Science 2018-07-02 Jan Křetínský , Alexej Rotar

Bruyere and Carton lifted the notion of finite automata reading infinite words to finite automata reading words with shape an arbitrary linear order L. Automata on finite words can be used to represent infinite structures, the so-called…

Formal Languages and Automata Theory · Computer Science 2018-11-02 Alexander Kartzow , Philipp Schlicht

We address the problem of model checking context-free specifications for probabilistic pushdown automata, which has relevant applications in the verification of recursive probabilistic programs. Operator Precedence Languages (OPLs) are an…

Logic in Computer Science · Computer Science 2025-02-06 Francesco Pontiggia , Ezio Bartocci , Michele Chiari

Priced timed automata provide a natural model for quantitative analysis of real-time systems and have been successfully applied in various scheduling and planning problems. The optimal reachability problem for linearly-priced timed automata…

Formal Languages and Automata Theory · Computer Science 2016-12-16 Devendra Bhave , Shankara Narayanan Krishna , Ashutosh Trivedi

Standpoint linear temporal logic SLTL is a recent formalism able to model possibly conflicting commitments made by distinct agents, taking into account aspects of temporal reasoning. In this paper, we analyse the computational properties of…

Logic in Computer Science · Computer Science 2024-08-19 Stéphane Demri , Przemysław Andrzej Wałęga

For over a decade, researchers in formal methods tried to create formalisms that permit natural specification of systems and allow mathematical reasoning about their correctness. The availability of fully-automated reasoning tools enables…

Software Engineering · Computer Science 2016-11-17 D. Paun , M. Chechik

We introduce a logic to express structural properties of automata with string inputs and, possibly, outputs in some monoid. In this logic, the set of predicates talking about the output values is parametric, and we provide sufficient…

Formal Languages and Automata Theory · Computer Science 2018-10-09 Emmanuel Filiot , Nicolas Mazzocchi , Jean-François Raskin

We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees. We consider the case of specifications that are deterministic top-down tree automatic,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Christof Löding , Sarah Winter

This paper presents an ongoing work that is part of a more wide-ranging project whose final scope is to define a method to validate LTL formulas w.r.t. a program written in the timed concurrent constraint language tccp, which is a logic…

Logic in Computer Science · Computer Science 2013-08-21 Marco Comini , Laura Titolo , Alicia Villanueva
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