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There has been a growing interest in defining models of automata enriched with time, such as finite automata extended with clocks (timed automata). In this paper, we study deterministic timed finite state machines (TFSMs), i.e., finite…

Formal Languages and Automata Theory · Computer Science 2021-03-09 Davide Bresolin , Khaled El-Fakih , Tiziano Villa , Nina Yevtushenko

We investigate the problem of parameter synthesis for time Petri nets with a cost variable that evolves both continuously with time, and discretely when firing transitions. More precisely, parameters are rational symbolic constants used for…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Didier Lime , Olivier H. Roux , Charlotte Seidner

Real-world time series often exhibit a non-stationary nature, degrading the performance of pre-trained forecasting models. Test-Time Adaptation (TTA) addresses this by adjusting models during inference, but existing methods typically update…

Machine Learning · Computer Science 2025-07-01 Heitor R. Medeiros , Hossein Sharifi-Noghabi , Gabriel L. Oliveira , Saghar Irandoust

We study classic scheduling problems on uniformly related machines. Efficient polynomial time approximation schemes (EPTAS's) are fast and practical approximation schemes. New methods and techniques are essential in developing such improved…

Data Structures and Algorithms · Computer Science 2014-04-04 Leah Epstein , Asaf Levin

The translation of Metric Interval Temporal Logic (MITL) to timed automata is a topic that has been extensively studied. A key challenge here is the conversion of future modalities into equivalent automata. Typical conversions equip the…

Formal Languages and Automata Theory · Computer Science 2025-07-08 S. Akshay , Paul Gastin , R. Govind , B. Srivathsan

The fixed parameter tractable (FPT) approach is a powerful tool in tackling computationally hard problems. In this paper, we link FPT results to classic artificial intelligence (AI) techniques to show how they complement each other.…

Artificial Intelligence · Computer Science 2019-07-24 Daniel Karapetyan , Andrew J. Parkes , Gregory Gutin , Andrei Gagarin

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

We present a new language semantics for real-time concurrency. Its operational models are higher-dimensional timed automata (HDTAs), a generalization of both higher-dimensional automata and timed automata. In real-time concurrent systems,…

Formal Languages and Automata Theory · Computer Science 2025-02-06 Amazigh Amrane , Hugo Bazille , Emily Clement , Uli Fahrenberg , Philipp Schlehuber-Caissier

We present a new and powerful class of automata which are explicitly concurrent and allow a very simple definition of composition. The novelty of these automata is their time-synchronous message-asynchronous communication mechanism. Time…

Formal Languages and Automata Theory · Computer Science 2014-11-25 Radu Grosu , Bernhard Rumpe

We introduce the class of tree constraint automata with data values in Z (equipped with the less than relation and equality predicates to constants) and we show that the nonemptiness problem is ExpTime-complete. Using an automata-based…

Logic in Computer Science · Computer Science 2025-06-25 Stephane Demri , Karin Quaas

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

We study a variant of the classical membership problem in automata theory, which consists of deciding whether a given input word is accepted by a given automaton. We do so under a different perspective, that is, we consider a dynamic…

Formal Languages and Automata Theory · Computer Science 2020-02-18 Alejandro Grez , Filip Mazowiecki , Michał Pilipczuk , Gabriele Puppis , Cristian Riveros

We define guarded variable automata (GVAs), a simple extension of finite automata over infinite alphabets. In this model the transitions are labelled by letters or variables ranging over an infinite alphabet and guarded by conjunction of…

Formal Languages and Automata Theory · Computer Science 2013-10-28 Walid Belkhir , Yannick Chevalier , Michael Rusinowitch

We discuss approximability and inapproximability in FPT-time for a large class of subset problems where a feasible solution $S$ is a subset of the input data and the value of $S$ is $|S|$. The class handled encompasses many well-known…

Computational Complexity · Computer Science 2013-10-22 Edouard Bonnet , Vangelis Th. Paschos

Alternating timed automata on infinite words are considered. The main result is a characterization of acceptance conditions for which the emptiness problem for these automata is decidable. This result implies new decidability results for…

Logic in Computer Science · Computer Science 2015-07-01 Pawel Parys , Igor Walukiewicz

Given a Probabilistic Finite Automata (PFA), a set of states S, and an error threshold e > 0, our algorithm approximates the infimum probability (quantifying over all infinite words) that the automata reaches S. Our result contrasts with…

Logic in Computer Science · Computer Science 2010-09-21 Sergio Giro

The problem DFA-Intersection-Nonemptiness asks if a given number of deterministic automata accept a common word. In general, this problem is PSPACE-complete. Here, we investigate this problem for the subclasses of commutative automata and…

Formal Languages and Automata Theory · Computer Science 2021-08-12 Henning Fernau , Stefan Hoffmann , Michael Wehar

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

Witnessing subsystems have proven to be a useful concept in the analysis of probabilistic systems, for example as diagnostic information on why a given property holds or as input to refinement algorithms. This paper introduces witnessing…

Logic in Computer Science · Computer Science 2020-07-02 Simon Jantsch , Florian Funke , Christel Baier

Fixed-parameter tractability analysis and scheduling are two core domains of combinatorial optimization which led to deep understanding of many important algorithmic questions. However, even though fixed-parameter algorithms are appealing…

Data Structures and Algorithms · Computer Science 2013-11-19 Matthias Mnich , Andreas Wiese
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