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We study the problem of determining whether a given temporal specification can be implemented by a symmetric system, i.e., a system composed from identical components. Symmetry is an important goal in the design of distributed systems,…

Logic in Computer Science · Computer Science 2017-10-17 Ruediger Ehlers , Bernd Finkbeiner

We consider the structures given by repeatedly generalising the definition of finite state automata by symmetry considerations, and constructing analogues of transition monoids at each step. This approach first gives us non-deterministic…

Logic in Computer Science · Computer Science 2007-05-23 Peter M. Hines

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 2015-11-11 Ron van der Meyden , Manas K. Patra

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…

Formal Languages and Automata Theory · Computer Science 2024-10-16 Sougata Bose , Thomas A. Henzinger , Karoliina Lehtinen , Sven Schewe , Patrick Totzke

Timed pushdown automata are pushdown automata extended with a finite set of real-valued clocks. Additionaly, each symbol in the stack is equipped with a value representing its age. The enabledness of a transition may depend on the values of…

Formal Languages and Automata Theory · Computer Science 2014-02-28 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

We have improved an algorithm generating synchronizing automata with a large length of the shortest reset words. This has been done by refining some known results concerning bounds on the reset length. Our improvements make possible to…

Formal Languages and Automata Theory · Computer Science 2016-07-15 Andrzej Kisielewicz , Jakub Kowalski , Marek Szykuła

The subject of this paper is to study conformance checking for timed models, that is, process models that consider both the sequence of events in a process as well as the timestamps at which each event is recorded. Time-aware process mining…

Formal Languages and Automata Theory · Computer Science 2022-07-06 Thomas Chatain , Neha Rino

This paper considers the existence of short synchronizing words in deterministic finite automata (DFAs). We define two general strategies for generating synchronizing words, and we show that each of these strategies can be applied if and…

Formal Languages and Automata Theory · Computer Science 2025-08-22 Peter Bradshaw , Alexander Clow , Ladislav Stacho

Symbolic Finite Automata and Register Automata are two orthogonal extensions of finite automata motivated by real-world problems where data may have unbounded domains. These automata address a demand for a model over large or infinite…

Formal Languages and Automata Theory · Computer Science 2019-05-24 Loris D'Antoni , Tiago Ferreira , Matteo Sammartino , Alexandra Silva

We present a practically appealing extension of the probabilistic model checker PRISM rendering it to handle fixed-delay continuous-time Markov chains (fdCTMCs) with rewards, the equivalent formalism to the deterministic and stochastic…

Logic in Computer Science · Computer Science 2016-03-11 Ľuboš Korenčiak , Vojtěch Řehák , Adrian Farmadin

In this paper, we study the extension of 1-clock Alternating Timed Automata (1-ATA) with the ability to read in both forward and backward direction, the 2-Way 1-clock Alternating Timed Automata (2-Way 1-ATA). We show that subclass of 2-Way…

Formal Languages and Automata Theory · Computer Science 2022-03-01 Shankara Narayanan Krishna , Khushraj Nanik Madnani , Manuel Mazo , Paritosh K. Pandya

A decidability proof for bisimulation equivalence of first-order grammars is given. It is an alternative proof for a result by S\'enizergues (1998, 2005) that subsumes his affirmative solution of the famous decidability question for…

Logic in Computer Science · Computer Science 2020-08-18 Petr Jancar

An introductory formal languages course exposes advanced undergraduate and early graduate students to automata theory, grammars, constructive proofs, computability, and decidability. Programming students find these topics to be challenging…

Formal Languages and Automata Theory · Computer Science 2014-12-17 Marco T. Morazán , Rosario Antunez

We characterize complete deterministic finite automata with two input letters in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word. The characterization leads to a…

Formal Languages and Automata Theory · Computer Science 2022-08-23 David Casas , Mikhail V. Volkov

We introduce a generalization of the bisimulation game that finds distinguishing Hennessy-Milner logic formulas from every finitary, subformula-closed language in van Glabbeek's linear-time--branching-time spectrum between two finite-state…

Computer Science and Game Theory · Computer Science 2023-06-22 Benjamin Bisping , David N. Jansen , Uwe Nestmann

The Extended Finite State Machine (EFSM) is one of the most popular modeling approaches for model-based testing. However, EFSM-based test case generation is susceptible to the infeasible (inexecutable) path problem, which stems from the…

Software Engineering · Computer Science 2022-09-22 Zhijie Pan , Ting Shu , Zuohua Ding

We present an algorithm for active learning of deterministic timed automata with multiple clocks. The algorithm is within the querying framework of Angluin's $L^*$ algorithm and follows the idea proposed in existing work on the active…

Formal Languages and Automata Theory · Computer Science 2024-05-21 Yu Teng , Miaomiao Zhang , Jie An

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

Clock-dependent probabilistic timed automata extend classical timed automata with discrete probabilistic choice, where the probabilities are allowed to depend on the exact values of the clocks. Previous work has shown that the quantitative…

Logic in Computer Science · Computer Science 2023-06-22 Jeremy Sproston

The starting point of this work is a framework allowing to model systems with dynamic process creation, equipped with a procedure to detect symmetric executions (ie., which differ only by the identities of processes). This allows to reduce…

Logic in Computer Science · Computer Science 2013-02-15 Łukasz Fronc