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This paper presents a range of quantitative extensions for the temporal logic CTL. We enhance temporal modalities with the ability to constrain the number of states satisfying certain sub-formulas along paths. By selecting the combinations…

Logic in Computer Science · Computer Science 2015-07-01 François Laroussinie , Antoine Meyer , Eudes Petonnet

In this work, we consider translating tock-CSP into Timed Automata for UPPAAL to facilitate using UPPAAL in reasoning about temporal specifications of tock-CSP models. The process algebra tock-CSP provides textual notations for modelling…

Formal Languages and Automata Theory · Computer Science 2021-04-29 Abdulrazaq Abba , Ana Cavalcanti , Jeremy Jacob

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

The paper presents the differential equations that characterize an asynchronous automaton and gives their solution x:R->{0,1}x...x{0,1}. Remarks are made on the connection between the continuous time and the discrete time of the approach.…

Logic in Computer Science · Computer Science 2007-05-23 Serban E. Vlad

Deciding formulas mixing arithmetic and uninterpreted predicates is of practical interest, notably for applications in verification. Some decision procedures consist in building by structural induction an automaton that recognizes the set…

Logic in Computer Science · Computer Science 2023-06-08 Bernard Boigelot , Pascal Fontaine , Baptiste Vergain

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

Standpoint linear temporal logic ($SLTL$) is a recently introduced extension of classical linear temporal logic ($LTL$) with standpoint modalities. Intuitively, these modalities allow to express that, from agent $a$'s standpoint, it is…

Logic in Computer Science · Computer Science 2025-02-28 Rajab Aghamov , Christel Baier , Toghrul Karimov , Rupak Majumdar , Joël Ouaknine , Jakob Piribauer , Timm Spork

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 2018-08-16 Laura Bozzelli , Aniello Murano , Adriano Peron

Alternating-time temporal logic (ATL) allows to specify requirements on abilities that different agents should (or should not) possess in a multi-agent system. However, model checking ATL specifications in realistic systems is…

Multiagent Systems · Computer Science 2016-08-31 Wojciech Jamroga , Michał Knapik , Damian Kurpiewski

Timed automata (TAs) are an efficient formalism to model and verify systems with hard timing constraints, and concurrency. While TAs assume exact timing constants with infinite precision, parametric TAs (PTAs) leverage this limitation and…

Formal Languages and Automata Theory · Computer Science 2022-06-08 Johan Arcile , Étienne André

In this paper we give automata-based representation of LTL-FO$^+$ properties. LTL-FO$^+$ is an extension of LTL that includes first-order quantification over bounded variable, thus greatly increasing the expressivity of the language. An…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Yannick Lebrun , Raphaël Khoury , Sylvain Hallé

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

This paper investigates the decidability of opacity in timed automata (TA), a property that has been proven to be undecidable in general. First, we address a theoretical gap in recent work by J. An et al. (FM 2024) by providing necessary…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Weilin Deng , Daowen Qiu , Jingkai Yang

We consider quantitative extensions of the alternating-time temporal logics ATL/ATLs called quantitative alternating-time temporal logics (QATL/QATLs) in which the value of a counter can be compared to constants using equality, inequality…

Logic in Computer Science · Computer Science 2014-09-22 Steen Vester

Symbolic automata are finite state automata that support potentially infinite alphabets, such as the set of rational numbers, generally applied to regular expressions/languages over finite words. In symbolic automata (or automata modulo…

Formal Languages and Automata Theory · Computer Science 2023-10-05 Margus Veanes , Thomas Ball , Gabriel Ebner , Olli Saarikivi

Active Test-Time Adaptation (ATTA) improves model robustness under domain shift by selectively querying human annotations at deployment, but existing methods use heuristic uncertainty measures and suffer from low data selection efficiency,…

Machine Learning · Computer Science 2025-10-01 Tingyu Shi , Fan Lyu , Shaoliang Peng

Alternating-time temporal logics (ATL/ATL*) represent a family of modal logics for reasoning about agents' strategic abilities in multiagent systems (MAS). The interpretations of ATL/ATL* over the semantic model Concurrent Game Structures…

Artificial Intelligence · Computer Science 2018-11-28 Yedi Zhang , Fu Song , Taolue Chen

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

Ability to count number of occurrences of events within a specified time interval is very useful in specification of resource bounded real time computation. In this paper, we study an extension of Metric Temporal Logic ($\mathsf{MTL}$) with…

Logic in Computer Science · Computer Science 2015-12-31 Khushraj Madnani , Shankara Narayanan Krishna , Paritosh Pandya

Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition…

Logic in Computer Science · Computer Science 2017-07-17 Jeremy Sproston
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