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In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field…

Logic in Computer Science · Computer Science 2012-10-10 Domenico Cantone , Cristiano Longo

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative…

Formal Languages and Automata Theory · Computer Science 2015-04-24 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

We investigate the decidability of model-checking logics of time, knowledge and probability, with respect to two epistemic semantics: the clock and synchronous perfect recall semantics in partially observed discrete-time Markov chains.…

Logic in Computer Science · Computer Science 2016-06-29 R van der Meyden , M K Patra

We study the task, for a given language $L$, of enumerating the (generally infinite) sequence of its words, without repetitions, while bounding the delay between two consecutive words. To allow for delay bounds that do not depend on the…

Formal Languages and Automata Theory · Computer Science 2023-01-10 Antoine Amarilli , Mikaël Monet

Jumping automata are finite automata that read their input in a non-consecutive manner, disregarding the order of the letters in the word. We introduce and study jumping automata over infinite words. Unlike the setting of finite words,…

Formal Languages and Automata Theory · Computer Science 2023-04-05 Shaull Almagor , Omer Yizhaq

Automata over infinite objects are a well-established model with applications in logic and formal verification. Traditionally, acceptance in such automata is defined based on the set of states visited infinitely often during a run. However,…

Formal Languages and Automata Theory · Computer Science 2025-09-22 Antonio Casares

We introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

Formal Languages and Automata Theory · Computer Science 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini

We investigate the properties of formal languages expressible in terms of formulas over quantifier-free theories of word equations, arithmetic over length constraints, and language membership predicates for the classes of regular, visibly…

Formal Languages and Automata Theory · Computer Science 2022-05-03 Joel D. Day , Vijay Ganesh , Nathan Grewal , Florin Manea

This paper tackles the problem of the existence of solutions for recursive systems of Horn clauses with second-order variables interpreted as integer relations, and harnessed by quantifier-free difference bounds arithmetic. We start by…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Radu Iosif

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

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 consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions, and we study various model-checking problems for that model based on extensions of…

Logic in Computer Science · Computer Science 2015-07-01 Patricia Bouyer , Kim G. Larsen , Nicolas Markey

We introduce a model of one-way language acceptors (a variant of a checking stack automaton) and show the following decidability properties: (1) The deterministic version has a decidable membership problem but has an undecidable emptiness…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

Automata over infinite alphabets have recently come to be studied extensively as potentially useful tools for solving problems in verification and database theory. One popular model of automata studied is the Class Memory Automata (CMA),…

Formal Languages and Automata Theory · Computer Science 2014-12-01 Conrad Cotton-Barratt , Andrzej Murawski , Luke Ong

Several new algorithms for deciding emptiness of Boolean combinations of regular languages and of languages of alternating automata (AFA) have been proposed recently, especially in the context of analysing regular expressions and in string…

Formal Languages and Automata Theory · Computer Science 2023-04-12 Tomáš Fiedor , Lukáš Holík , Martin Hruška , Adam Rogalewicz , Juraj Síč , Pavol Vargovčík

Timed automata are a widely used formalism for specifying the discrete-state/continuous-time behavior of time-critical reactive systems. For the fundamental verification problem of comparing two timed automata, it has been shown that timed…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Alexander Lieb , Hendrik Göttmann , Lars Luthmann , Malte Lochau , Andy Schürr

We show that the determinization problem for min-plus (tropical) weighted automata is decidable, thus resolving this long-standing open problem. In doing so, we develop a new toolbox for analyzing and reasoning about the run-structure of…

Formal Languages and Automata Theory · Computer Science 2025-04-01 Shaull Almagor , Guy Arbel , Sarai Sheinvald

In this work we prove decidability of the model-checking problem for safe recursion schemes against properties defined by alternating B-automata. We then exploit this result to show how to compute downward closures of languages of finite…

Formal Languages and Automata Theory · Computer Science 2024-02-14 David Barozzini , Lorenzo Clemente , Thomas Colcombet , Paweł Parys

A fertile area of recent research has demonstrated concrete polynomial time lower bounds for solving natural hard problems on restricted computational models. Among these problems are Satisfiability, Vertex Cover, Hamilton Path, Mod6-SAT,…

Computational Complexity · Computer Science 2010-02-03 Ryan Williams