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We develop game-theoretic semantics (GTS) for the fragment ATL+ of the full Alternating-time Temporal Logic ATL*, essentially extending a recently introduced GTS for ATL. We first show that the new game-theoretic semantics is equivalent to…

Logic · Mathematics 2019-06-17 Valentin Goranko , Antti Kuusisto , Raine Rönnholm

Formal properties represent a cornerstone of the system-correctness proofs based on formal verification techniques such as model checking. Formalizing requirements into temporal properties may be very complex and error prone, due not only…

Logic in Computer Science · Computer Science 2017-09-08 Stefano Tonetta

We propose an approach to formally specifying the behavioral properties of systems that rely on a perception model for interactions with the physical world. The key idea is to introduce embeddings -- mathematical representations of a…

Artificial Intelligence · Computer Science 2025-03-07 Parv Kapoor , Abigail Hammer , Ashish Kapoor , Karen Leung , Eunsuk Kang

Security properties of real-time systems often involve reasoning about hyper-properties, as opposed to properties of single executions or trees of executions. These hyper-properties need to additionally be expressive enough to reason about…

Cryptography and Security · Computer Science 2024-05-21 Nabarun Deka , Minjian Zhang , Rohit Chadha , Mahesh Viswanathan

Extensions of Answer Set Programming with language constructs from temporal logics, such as temporal equilibrium logic over finite traces (TELf), provide an expressive computational framework for modeling dynamic applications. In this…

Artificial Intelligence · Computer Science 2024-01-23 Pedro Cabalar , Martín Diéguez , François Laferrière , Torsten Schaub

It is widely accepted that every system should be robust in that ``small'' violations of environment assumptions should lead to ``small'' violations of system guarantees, but it is less clear how to make this intuition mathematically…

Logic in Computer Science · Computer Science 2024-01-23 Satya Prakash Nayak , Daniel Neider , Rajarshi Roy , Martin Zimmermann

In this paper we introduce Behavioral QLTL, which is a ``behavioral'' variant of linear-time temporal logic on infinite traces with second-order quantifiers. Behavioral QLTL is characterized by the fact that the functions that assign the…

Logic in Computer Science · Computer Science 2021-02-23 Giuseppe De Giacomo , Giuseppe Perelli

This paper argues that a combined treatment of probabilities, time and actions is essential for an appropriate logical account of the notion of probability; and, based on this intuition, describes an expressive probabilistic temporal logic…

Logic in Computer Science · Computer Science 2017-10-10 Bruno Woltzenlogel Paleo

Runtime monitoring of autonomous systems traditionally relies on mapping continuous sensor observations to discrete logical propositions defined over low-dimensional state variables. This abstraction breaks down in perception-driven…

Machine Learning · Computer Science 2026-05-15 Parv Kapoor , Abigail Hammer , Ashish Kapoor , Karen Leung , Eunsuk Kang

We study dynamic changes of agents' observational power in logics of knowledge and time. We consider CTL*K, the extension of CTL* with knowledge operators, and enrich it with a new operator that models a change in an agent's way of…

Logic in Computer Science · Computer Science 2018-09-05 Aurèle Barrière , Bastien Maubert , Aniello Murano , Sasha Rubin

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

In this paper we present a satisfiability-preserving reduction from MITL interpreted over finitely-variable continuous behaviors to Constraint LTL over clocks, a variant of CLTL that is decidable, and for which an SMT-based bounded…

Logic in Computer Science · Computer Science 2013-07-18 Marcello Maria Bersani , Matteo Rossi , Pierluigi San Pietro

First-order linear temporal logic (FOLTL) is a flexible and expressive formalism capable of naturally describing complex behaviors and properties. Although the logic is in general highly undecidable, the idea of using it as a specification…

Logic in Computer Science · Computer Science 2024-05-31 Luca Geatti , Alessandro Gianola , Nicola Gigante

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

Standpoint linear temporal logic SLTL is a recent formalism able to model possibly conflicting commitments made by distinct agents, taking into account aspects of temporal reasoning. In this paper, we analyse the computational properties of…

Logic in Computer Science · Computer Science 2024-08-19 Stéphane Demri , Przemysław Andrzej Wałęga

Alternating-time temporal logic with strategy contexts (ATLsc) is a powerful formalism for expressing properties of multi-agent systems: it extends CTL with strategy quantifiers, offering a convenient way of expressing both collaboration…

Logic in Computer Science · Computer Science 2015-09-25 François Laroussinie , Nicolas Markey , Arnaud Sangnier

There is uncertainty associated with the occurrence of many events in real life. In this paper we develop a temporal logic to deal with such uncertain events and outline a possible implementation in an extension of PROLOG. Events are…

Artificial Intelligence · Computer Science 2013-04-10 Soumitra Dutta

In this paper we combine Answer Set Programming (ASP) with Dynamic Linear Time Temporal Logic (DLTL) to define a temporal logic programming language for reasoning about complex actions and infinite computations. DLTL extends propositional…

Artificial Intelligence · Computer Science 2011-10-18 Laura Giordano , Alberto Martelli , Daniele Theseider Dupré

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2019-09-19 Daniel Neider , Alexander Weinert , Martin Zimmermann

The satisfiability problem for branching-time temporal logics like CTL*, CTL and CTL+ has important applications in program specification and verification. Their computational complexities are known: CTL* and CTL+ are complete for doubly…

Logic in Computer Science · Computer Science 2015-07-01 Oliver Friedmann , Martin Lange , Markus Latte
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