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Formalisms based on temporal logics interpreted over finite strict linear orders, known in the literature as finite traces, have been used for temporal specification in automated planning, process modelling, (runtime) verification and…

Logic in Computer Science · Computer Science 2022-02-02 Alessandro Artale , Andrea Mazzullo , Ana Ozaki

We correct our proof of a theorem stating that satisfiability of frequency linear-time temporal logic is undecidable [TASE 2012].

Logic in Computer Science · Computer Science 2020-10-02 Benedikt Bollig , Normann Decker , Martin Leucker

This article is about temporal multi-agent logics. Several of these formalisms have been already presented (ATL-ATL*, ATLsc, SL). They enable to express the capacities of agents in a system to ensure the satisfaction of temporal properties.…

Logic in Computer Science · Computer Science 2013-03-05 Christophe Chareton , Julien Brunel , David Chemouil

We introduce LTLf+ and PPLTL+, two logics to express properties of infinite traces, that are based on the linear-time temporal logics LTLf and PPLTL on finite traces. LTLf+/PPLTL+ use levels of Manna and Pnueli's LTL safety-progress…

Logic in Computer Science · Computer Science 2024-11-15 Benjamin Aminof , Giuseppe De Giacomo , Sasha Rubin , Moshe Y. Vardi

In this paper, we study the model-checking and parameter synthesis problems of the logic TCTL over discrete-timed automata where parameters are allowed both in the model (timed automaton) and in the property (temporal formula). Our results…

Logic in Computer Science · Computer Science 2017-01-11 Veronique Bruyere , Jean-Francois Raskin

We introduce Visibly Linear Dynamic Logic (VLDL), which extends Linear Temporal Logic (LTL) by temporal operators that are guarded by visibly pushdown languages over finite words. In VLDL one can, e.g., express that a function resets a…

Logic in Computer Science · Computer Science 2017-05-18 Alexander Weinert , Martin Zimmermann

Temporal reasoning with conditionals is more complex than both classical temporal reasoning and reasoning with timeless conditionals, and can lead to some rather counter-intuitive conclusions. For instance, Aristotle's famous "Sea Battle…

Logic in Computer Science · Computer Science 2024-05-28 Fengkui Ju , Gianluca Grilletti , Valentin Goranko

We introduce Parametric Linear Dynamic Logic (PLDL), which extends Linear Dynamic Logic (LDL) by temporal operators equipped with parameters that bound their scope. LDL was proposed as an extension of Linear Temporal Logic (LTL) that is…

Logic in Computer Science · Computer Science 2014-08-27 Peter Faymonville , Martin Zimmermann

In the last decades much research effort has been devoted to extending the success of model checking from the traditional field of finite state machines and various versions of temporal logics to suitable subclasses of context-free…

Logic in Computer Science · Computer Science 2018-09-11 Michele Chiari , Dino Mandrioli , Matteo Pradella

Our manuscript studies linear temporal (with UNTIL and NEXT) logic based at a conception of intransitive time. non-transitive time. In particular, we demonstrate how the notion of knowledge might be represented in such a framework (here we…

Logic in Computer Science · Computer Science 2015-03-31 Vladimir Rybakov

Interval temporal logics provide a general framework for temporal reasoning about interval structures over linearly ordered domains, where intervals are taken as the primitive ontological entities. In this paper, we identify all fragments…

Logic in Computer Science · Computer Science 2012-10-10 Davide Bresolin , Dario Della Monica , Angelo Montanari , Pietro Sala , Guido Sciavicco

Linear Temporal Logic (LTL) interpreted on finite traces is a robust specification framework popular in formal verification. However, despite the high interest in the logic in recent years, the topic of their quantitative extensions is not…

Logic in Computer Science · Computer Science 2021-01-05 Bartosz Bednarczyk , Jakub Michaliszyn

We look at characterizing which formulas are expressible in rich decidable logics such as guarded fixpoint logic, unary negation fixpoint logic, and guarded negation fixpoint logic. We consider semantic characterizations of definability, as…

Logic in Computer Science · Computer Science 2023-06-22 Michael Benedikt , Pierre Bourhis , Michael Vanden Boom

We investigate the satisfaction of specifications in Prompt Linear Temporal Logic (Prompt-LTL) by concurrent systems. Prompt-LTL is an extension of LTL that allows to specify parametric bounds on the satisfaction of eventualities, thus…

Logic in Computer Science · Computer Science 2019-11-18 Swen Jacobs , Mouhammad Sakr , Martin Zimmermann

We consider dynamic versions of epistemic logic as formulated in Baltag and Moss "Logics for epistemic programs" (2004). That paper proposed a logical language (actually families of languages parameterized by action signatures) for dynamic…

Logic in Computer Science · Computer Science 2022-03-15 Alexandru Baltag , Lawrence S. Moss , Slawomir Solecki

Definite descriptions, such as 'the General Chair of KR 2024', are a semantically transparent device for object identification in knowledge representation. In first-order modal logic, definite descriptions have been widely investigated for…

Logic in Computer Science · Computer Science 2024-09-12 Alessandro Artale , Roman Kontchakov , Andrea Mazzullo , Frank Wolter

We study logic for reasoning with if-then formulas describing dependencies between attributes of objects which are observed in consecutive points in time. We introduce semantic entailment of the formulas, show its fixed-point…

Logic in Computer Science · Computer Science 2021-06-17 Jan Triska , Vilem Vychodil

We introduce and study a natural extension of the Alternating time temporal logic ATL, called Temporal Logic of Coalitional Goal Assignments (TLCGA). It features just one, but quite expressive, coalitional strategic operator, viz. the…

Logic in Computer Science · Computer Science 2022-02-24 Sebastian Enqvist , Valentin Goranko

Delay games are two-player games of infinite duration in which one player may delay her moves to obtain a lookahead on her opponent's moves. Recently, such games with quantitative winning conditions in weak MSO with the unbounding…

Computer Science and Game Theory · Computer Science 2016-10-11 Felix Klein , Martin Zimmermann

The present work aims to give a unity of logic via standard sequential, unpolarized games. Specifically, our vision is that there must be mathematically precise concepts of linear refinement and intuitionistic restriction of logic such that…

Logic · Mathematics 2019-12-17 Norihiro Yamada