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Various extensions of the temporal logic ATL have recently been introduced to express rich properties of multi-agent systems. Among these, ATLsc extends ATL with strategy contexts, while Strategy Logic has first-order quantification over…

Logic in Computer Science · Computer Science 2013-07-18 François Laroussinie , Nicolas Markey

Metric Temporal Logic (MTL) is a generalisation of Linear Temporal Logic in which the Until and Since modalities are annotated with intervals that express metric constraints. A seminal result of Hirshfeld and Rabinovich shows that over the…

Logic in Computer Science · Computer Science 2013-02-19 Paul Hunter , Joël Ouaknine , James Worrell

Time is a crucial factor in modelling dynamic behaviours of intelligent agents: activities have a determined temporal duration in a real-world environment, and previous actions influence agents' behaviour. In this paper, we propose a…

Artificial Intelligence · Computer Science 2023-07-11 Stefano Bistarelli , Maria Chiara Meo , Carlo Taticchi

We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang

In this paper, we investigate the problem of linear temporal logic (LTL) path planning for multi-agent systems, introducing the new concept of \emph{ordering constraints}. Specifically, we consider a generic objective function that is…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Bowen Ye , Jianing Zhao , Shaoyuan Li , Xiang Yin

Graded path modalities count the number of paths satisfying a property, and generalize the existential (E) and universal (A) path modalities of CTL*. The resulting logic is called GCTL*. We settle the complexity of satisfiability of GCTL*,…

Logic in Computer Science · Computer Science 2014-10-29 Benjamin Aminof , Aniello Murano , Sasha Rubin

Many Cyber Physical System (CPS) work in a safety-critical environment, where correct execution, reliability and trustworthiness are essential. Signal Temporal Logic (STL) provides a formal framework for checking safety-critical CPS.…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Partha Roop , Sobhan Chatterjee , Avinash Malik , Nathan Allen , Logan Kenwright

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

This paper surveys main and recent studies on temporal logics in a broad sense by presenting various logic systems, dealing with various time structures, and discussing important features, such as decidability (or undecidability) results,…

Logic in Computer Science · Computer Science 2013-08-06 Savas Konur

The molecular computing has been successfully employed to solve more and more complex computation problems. However, as an important complex problem, the model checking are still far from fully resolved under the circumstance of molecular…

Logic in Computer Science · Computer Science 2017-02-21 Weijun Zhu

In this paper, we investigate finite representations of DatalogMTL models. First, we discuss sufficient conditions for detecting programs that have finite models. Then, we study infinite models that eventually become constant and introduce…

Logic in Computer Science · Computer Science 2022-02-17 Luigi Bellomarini , Markus Nissl , Emanuel Sallinger

We introduce a technique for synthesis of control and communication strategies for a team of agents from a global task specification given as a Linear Temporal Logic (LTL) formula over a set of properties that can be satisfied by the…

Robotics · Computer Science 2011-11-10 Yushan Chen , Xu Chu Ding , Calin Belta

Hyperproperties are system properties that relate multiple computation paths in a system and are commonly used to, e.g., define information-flow policies. In this paper, we study a novel class of hyperproperties that allow reasoning about…

Logic in Computer Science · Computer Science 2024-02-14 Raven Beutner , Bernd Finkbeiner

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2017-03-08 Samuel Bucheli , Meghdad Ghari , Thomas Studer

Recent work has addressed using formulas in linear temporal logic (LTL) as specifications for agents planning in Markov Decision Processes (MDPs). We consider the inverse problem: inferring an LTL specification from demonstrated behavior…

Systems and Control · Computer Science 2017-11-02 Daniel Kasenberg , Matthias Scheutz

Chain-of-Thought (CoT) prompting has emerged as a pivotal technique for augmenting the inferential capabilities of language models during reasoning tasks. Despite its advancements, CoT often grapples with challenges in validating reasoning…

Artificial Intelligence · Computer Science 2024-12-09 Hanmeng Liu , Zhiyang Teng , Chaoli Zhang , Yue Zhang

It is well known that (timed) $\omega$-regular properties such as `p holds at every even position' and `p occurs at least three times within the next 10 time units' cannot be expressed in Metric Interval Temporal Logic ($\mathsf{MITL}$) and…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho

The relation between self awareness and intelligence is an open problem these days. Despite the fact that self awarness is usually related to Emotional Intelligence, this is not the case here. The problem described in this paper is how to…

Artificial Intelligence · Computer Science 2011-06-30 Nicolaie Popescu-Bodorin , Valentina E. Balas

In [11] we defined Inf-Datalog and characterized the fragments of Monadic inf-Datalog that have the same expressive power as Modal Logic (resp. $CTL$, alternation-free Modal $\mu$-calculus and Modal $\mu$-calculus). We study here the time…

Data Structures and Algorithms · Computer Science 2016-08-16 Eugénie Foustoucos , Irene Guessarian

We present an elementary introduction to a new logic for reasoning about behaviors that occur over time. This logic is based on temporal type theory. The syntax of the logic is similar to the usual first-order logic; what differs is the…

Logic · Mathematics 2022-11-04 Brendan Fong , Alberto Speranzon , David I. Spivak