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We consider the synthesis of distributed implementations for specifications in parameterized temporal logics such as PROMPT-LTL, which extends LTL by temporal operators equipped with parameters that bound their scope. For single process…

Logic in Computer Science · Computer Science 2018-02-28 Swen Jacobs , Leander Tentrup , Martin Zimmermann

We present a (semi)-algorithm to compute winning strategies for parametric timed games. Previous algorithms only synthesized constraints on the clock parameters for which the game is winning. A new definition of (winning) strategies is…

Formal Languages and Automata Theory · Computer Science 2025-06-19 Mikael Bisgaard Dahlsen-Jensen , Baptiste Fievet , Laure Petrucci , Jaco van de Pol

A central problem in systems biology is to identify parameter values such that a biological model satisfies some behavioral constraints (\eg, time series). In this paper we focus on parameter synthesis for hybrid (continuous/discrete)…

Logic in Computer Science · Computer Science 2014-09-11 Bing Liu , Soonho Kong , Sicun Gao , Paolo Zuliani , Edmund M. Clarke

In this paper we study the classical single machine scheduling problem where the objective is to minimize the total weight of tardy jobs. Our analysis focuses on the case where one or more of three natural parameters is either constant or…

Data Structures and Algorithms · Computer Science 2017-09-19 Danny Hermelin , Shlomo Karhi , Mike Pinedo , Dvir Shabtay

Specifying properties can be challenging work. In this paper, we propose an automated approach to exemplify properties given in the form of automata extended with timing constraints and timing parameters, and that can also encode…

Formal Languages and Automata Theory · Computer Science 2022-06-08 Étienne André , Masaki Waga , Natsuki Urabe , Ichiro Hasuo

Timed regular expressions serve as a formalism for specifying real-time behaviors of Cyber-Physical Systems. In this paper, we consider the synthesis of timed regular expressions, focusing on generating a timed regular expression consistent…

Formal Languages and Automata Theory · Computer Science 2025-09-12 Ziran Wang , Jie An , Naijun Zhan , Miaomiao Zhang , Zhenya Zhang

We study the synthesis problem for systems with a parameterized number of processes. As in the classical case due to Church, the system selects actions depending on the program run so far, with the aim of fulfilling a given specification.…

Logic in Computer Science · Computer Science 2019-11-01 Béatrice Bérard , Benedikt Bollig , Mathieu Lehaut , Nathalie Sznajder

In this paper, we introduce a restriction of Timed Automata (TA), called non-resetting test Timed Automata (nrtTA). An nrtTA does not allow to test and reset the same clock on the same transition. The model has the same expressive power of…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

We propose an algorithmic approach for synthesizing linear hybrid automata from time-series data. Unlike existing approaches, our approach provides a whole family of models. Each model in the family is guaranteed to capture the input data…

Formal Languages and Automata Theory · Computer Science 2022-10-25 Miriam García Soto , Thomas A. Henzinger , Christian Schilling

The verification of systems combining hard timing constraints with concurrency is challenging. This challenge becomes even harder when some timing constants are missing or unknown. Parametric timed formalisms, such as parametric timed…

Formal Languages and Automata Theory · Computer Science 2019-08-20 Étienne André , Didier Lime , Mathias Ramparison

Parametric timed automata (PTAs) are a powerful formalism to reason, simulate and formally verify critical real-time systems. After 25 years of research on PTAs, it is now well-understood that any non-trivial problem studied is undecidable…

Logic in Computer Science · Computer Science 2019-07-04 Étienne André

Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. In order to test the efficiency of new algorithms, a fair set of benchmarks is required. We present…

Logic in Computer Science · Computer Science 2021-06-21 Étienne André , Dylan Marinho , Jaco van de Pol

We propose a method to synthesize a parameterized infinite-state systems that can be instantiated for different parameter values. The specification is given in a parameterized temporal logic that allows for data variables as well as…

Logic in Computer Science · Computer Science 2025-08-04 Benedikt Maderbacher , Roderick Bloem

Threshold automata are a formalism for modeling fault-tolerant distributed algorithms. The main feature of threshold automata is the notion of a threshold guard, which allows us to compare the number of received messages with the total…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-01 A. R. Balasubramanian

Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. Reducing their state space is a significant way to reduce the inherently large analysis times. We…

Formal Languages and Automata Theory · Computer Science 2022-12-12 Étienne André , Dylan Marinho , Laure Petrucci , Jaco van de Pol

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

Formal Languages and Automata Theory · Computer Science 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

Markov chain analysis is a key technique in formal verification. A practical obstacle is that all probabilities in Markov models need to be known. However, system quantities such as failure rates or packet loss ratios, etc. are often not --…

Logic in Computer Science · Computer Science 2023-11-08 Sebastian Junges , Erika Ábrahám , Christian Hensel , Nils Jansen , Joost-Pieter Katoen , Tim Quatmann , Matthias Volk

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

Automatic synthesis from temporal logic specifications is an attractive alternative to manual system design, due to its ability to generate correct-by-construction implementations from high-level specifications. Due to the high complexity…

Logic in Computer Science · Computer Science 2023-01-25 Philippe Heim , Rayna Dimitrova

Many constraints restricting the result of some computations over an integer sequence can be compactly represented by register automata. We improve the propagation of the conjunction of such constraints on the same sequence by synthesising…

Artificial Intelligence · Computer Science 2019-01-29 Ekaterina Arafailova , Nicolas Beldiceanu , Helmut Simonis