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In this paper, we consider a model of generalized timed automata (GTA) with two kinds of clocks, history and future, that can express many timed features succinctly, including timed automata, event-clock automata with and without diagonal…

Formal Languages and Automata Theory · Computer Science 2024-03-19 S Akshay , Paul Gastin , R Govind , Aniruddha R Joshi , B Srivathsan

Event-clock automata (ECA) are a well-known semantic subclass of timed automata (TA) which enjoy admirable theoretical properties, e.g., determinizability, and are practically useful to capture timed specifications. However, unlike for…

Formal Languages and Automata Theory · Computer Science 2024-08-07 S Akshay , Paul Gastin , R Govind , B Srivathsan

Timed pushdown automata (TPDA) are an expressive formalism combining recursion with a rich logic of timing constraints. We prove that reachability relations of TPDA are expressible in linear arithmetic, a rich logic generalising Presburger…

Formal Languages and Automata Theory · Computer Science 2021-01-01 Lorenzo Clemente , Sławomir Lasota

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…

Formal Languages and Automata Theory · Computer Science 2018-12-24 Étienne André , Shang-Wei Lin

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

The problem of inclusion of the language accepted by timed automaton $A$ (e.g., the implementation) in the language accepted by $B$ (e.g., the specification) is, in general, undecidable in the class of non-deterministic timed automata. In…

Formal Languages and Automata Theory · Computer Science 2019-09-24 Amnon Rosenmann

Timed Automata (TA) are a very popular modeling formalism for systems with time-sensitive properties. A common task is to verify if a network of TA satisfies a given property, usually expressed in Linear Temporal Logic (LTL), or in a subset…

Logic in Computer Science · Computer Science 2021-04-27 Robert L. Smith , Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

We introduce a new class of Parametric Timed Automata (PTAs) where we allow clocks to be compared to parameters in guards, as in classic PTAs, but also to be updated to parameters. We focus here on the EF-emptiness problem: "is the set of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Étienne André , Didier Lime , Mathias Ramparison

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

While reachability analysis is one of the most promising approaches for formal verification of dynamic systems, a major disadvantage preventing a more widespread application is the requirement to manually tune algorithm parameters such as…

Logic in Computer Science · Computer Science 2024-04-09 Niklas Kochdumper , Stanley Bak

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

Formal Languages and Automata Theory · Computer Science 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

Multi-priced timed automata (MPTA) are timed automata with observer variables whose derivatives can change from one location to another. Observers are write-only variables, that is, they do not affect the control flow of the automaton; thus…

Formal Languages and Automata Theory · Computer Science 2024-07-26 Andrew Scoones , Mahsa Shirmohammadi , James Worrell

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

Parametric timed automata (PTAs) extend the concept of timed automata, by allowing timing delays not only specified by concrete values but also by parameters, allowing the analysis of systems with uncertainty regarding timing behaviors. The…

Formal Languages and Automata Theory · Computer Science 2024-10-03 Étienne André , Johan Arcile , Engel Lefaucheux

This paper presents the design of a novel distributed algorithm d-IRA for the reachability analysis of linear hybrid automata. Recent work on iterative relaxation abstraction (IRA) is leveraged to distribute the computational problem among…

Logic in Computer Science · Computer Science 2007-10-22 Sumit Kumar Jha

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

Logic in Computer Science · Computer Science 2019-11-20 Laura Bozzelli , Aniello Murano , Adriano Peron

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

Cryptography and Security · Computer Science 2022-06-08 Johan Arcile , Étienne André

A data word is a sequence of pairs of a letter from a finite alphabet and an element from an infinite set, where the latter can only be compared for equality. Safety one-way alternating automata with one register on infinite data words are…

Logic in Computer Science · Computer Science 2010-04-12 Ranko Lazic

We define the class of explorable automata on finite or infinite words. This is a generalization of History-Deterministic (HD) automata, where this time non-deterministic choices can be resolved by building finitely many simultaneous runs…

Formal Languages and Automata Theory · Computer Science 2025-11-26 Emile Hazard , Olivier Idir , Denis Kuperberg

This paper contains two results on timed extensions of pushdown automata (PDA). As our first result we prove that the model of dense-timed PDA of Abdulla et al. collapses: it is expressively equivalent to dense-timed PDA with timeless…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Lorenzo Clemente , Sławomir Lasota