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Finite turn-based safety games have been used for very different problems such as the synthesis of linear temporal logic (LTL), the synthesis of schedulers for computer systems running on multiprocessor platforms, and also for the…

Logic in Computer Science · Computer Science 2014-05-08 Gilles Geeraerts , Joël Goossens , Amélie Stainer

This paper studies knowledge representation in multi-agent environment. We investigate technique for computation truth-values of statements based at a new temporal, agent's-knowledge logic TL. A logical language, mathematical symbolic…

Logic in Computer Science · Computer Science 2014-06-23 Maybin Muyeba , Vladimir Rybakov

We present an overview on Temporal Logic Programming under the perspective of its application for Knowledge Representation and declarative problem solving. Such programs are the result of combining usual rules with temporal modal operators,…

Artificial Intelligence · Computer Science 2021-11-29 Felicidad Aguado , Pedro Cabalar , Martin Dieguez , Gilberto Perez , Torsten Schaub , Anna Schuhmann , Concepcion Vidal

We show that a history-based variant of alternating bisimulation with imperfect information allows it to be related to a variant of Alternating-time Temporal Logic (ATL) with imperfect information by a full Hennessy-Milner theorem. The…

Logic in Computer Science · Computer Science 2020-06-29 Francesco Belardinelli , Catalin Dima , Vadim Malvone , Ferucio Tiplea

In the following paper we present a new semantics for the well-known strategic logic ATL. It is based on adding roles to concurrent game structures, that is at every state, each agent belongs to exactly one role, and the role specifies what…

Logic in Computer Science · Computer Science 2012-04-17 Sjur Dyrkolbotn , Piotr Kaźmierczak , Erik Parmann , Truls Pedersen

In this work, we present a logic based on first-order CTL, namely Game Analysis Logic (GAL), in order to reason about games. We relate models and solution concepts of Game Theory as models and formulas of GAL, respectively. Precisely, we…

Logic in Computer Science · Computer Science 2014-04-15 Davi Romero de Vasconcelos , Edward Hermann Haeusler

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

Logic in Computer Science · Computer Science 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

We present syntactic characterisations for the union closed fragments of existential second-order logic and of logics with team semantics. Since union closure is a semantical and undecidable property, the normal form we introduce enables…

Logic in Computer Science · Computer Science 2023-06-22 Matthias Hoelzel , Richard Wilke

We develop team semantics for Linear Temporal Logic (LTL) to express hyperproperties, which have recently been identified as a key concept in the verification of information flow properties. Conceptually, we consider an asynchronous and a…

Logic in Computer Science · Computer Science 2018-06-26 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent extensions of Linear Temporal Logic to specify properties about data languages. In this paper, we consider the class of data languages of non-monotonic…

Logic in Computer Science · Computer Science 2014-05-23 Claudia Carapelle , Shiguang Feng , Oliver Fernández Gil , Karin Quaas

In this paper we revisit the regular-language representation of game semantics of second-order recursion free Idealized Algol with infinite data types. By using symbolic values instead of concrete ones we generalize the standard notion of…

Formal Languages and Automata Theory · Computer Science 2012-10-10 Aleksandar S. Dimovski

This paper presents Non-Axiomatic Term Logic (NATL) as a theoretical computational framework of humanlike symbolic reasoning in artificial intelligence. NATL unites a discrete syntactic system inspired from Aristotle's term logic and a…

Artificial Intelligence · Computer Science 2022-11-23 Kotaro Funakoshi

Test-time scaling (TTS) has become an effective approach for improving large language model performance by allocating additional computation during inference. However, existing TTS strategies are largely hand-crafted: researchers manually…

Computation and Language · Computer Science 2026-05-13 Tong Zheng , Haolin Liu , Chengsong Huang , Huiwen Bao , Sheng Zhang , Rui Liu , Runpeng Dai , Ruibo Chen , Chenxi Liu , Tianyi Xiong , Xidong Wu , Hongming Zhang , Heng Huang

Traditionally, Epistemic Logic represents epistemic scenarios using a single model. This, however, covers only complete descriptions that specify truth values of all assertions. Indeed, many -- and perhaps most -- epistemic descriptions are…

Logic in Computer Science · Computer Science 2023-06-22 Sergei Artemov

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

We discuss partial specifications in first-order logic FO and also in a Turing-complete extension of FO. We compare the compositional and game-theoretic approaches to the systems.

Logic · Mathematics 2023-07-28 Antti Kuusisto

Strategy Logic (SL, for short) has been introduced by Mogavero, Murano, and Vardi as a useful formalism for reasoning explicitly about strategies, as first-order objects, in multi-agent concurrent games. This logic turns out to be very…

Logic in Computer Science · Computer Science 2019-03-14 Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Moshe Y. Vardi

The field of proof-theoretic semantics (P-tS) offers an alternative approach to meaning in logic that is based on inference and argument (rather than truth in a model). It has been successfully developed for various logics; in particular,…

Logic · Mathematics 2025-03-10 Alexander V. Gheorghiu , Yll Buzoku

We define extensions of CTL and TCTL with strategic operators, called Strategic CTL (SCTL) and Strategic TCTL (STCTL), respectively. For each of the above logics we give a synchronous and asynchronous semantics, i.e., STCTL is interpreted…

Logic in Computer Science · Computer Science 2023-10-20 Jaime Arias , Wojciech Jamroga , Wojciech Penczek , Laure Petrucci , Teofil Sidoruk

We develop methods to formally describe and compare games, in order to probe questions of game structure and design, and as a stepping stone to predicting player behavior from design patterns. We define a grammar-like formalism to describe…

Logic in Computer Science · Computer Science 2021-01-05 Paul Riggins , David McPherson