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In the context of multi-agent systems, the rational verification problem is concerned with checking which temporal logic properties will hold in a system when its constituent agents are assumed to behave rationally and strategically in…

Logic in Computer Science · Computer Science 2020-08-14 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

This paper introduces the theory and practice of formal verification of self-assembling systems. We interpret a well-studied abstraction of nanomolecular self assembly, the Abstract Tile Assembly Model (aTAM), into Computation Tree Logic…

Logic in Computer Science · Computer Science 2010-07-22 Aaron Sterling

In this paper, we present a complete mental temporal logic, called BPICTL, which generalizes CTL by introducing mental modalities. A sound and complete inference system of BPICTL is given. We prove the finite model property of BPICTL.…

Logic in Computer Science · Computer Science 2025-06-10 Zining Cao

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 propose a model checking algorithm to test properties of systems that are expressed in the multi-agent temporal logic ATL+. The specificities of this algorithm are: it is on-the-fly, generating states only when they are needed, and it…

Logic in Computer Science · Computer Science 2021-07-13 Serenella Cerrito

This paper presents a comprehensive framework for modeling and verifying multi-agent systems. The paper introduce an Epistemic Process Calculus for multi-agent systems, which formalizes the syntax and semantics to capture the essential…

Formal Languages and Automata Theory · Computer Science 2025-01-31 Qixian Yu , Zining Cao , Zong Hui , Yuan Zhou

Model checking strategic abilities was successfully developed and applied since the early 2000s to ensure properties in Multi-Agent System. In this paper, we introduce the notion of capacities giving different abilities to an agent. This…

Multiagent Systems · Computer Science 2023-08-23 Gabriel Ballot , Vadim Malvone , Jean Leneutre , Youssef Laarouchi

Alternating timed automata (ATA) are an extension of timed automata, that are closed under complementation and hence amenable to logic-to-automata translations. Several timed logics, including Metric Temporal Logic (MTL), can be converted…

Logic in Computer Science · Computer Science 2026-01-07 Patricia Bouyer , B Srivathsan , Vaishnavi Vishwanath

We show how to add and eliminate binary preference on plays in Alternating-time Temporal Logic (ATL) with strategy contexts on Concurrent Game Models (CGMs) by means of a translation which preserves satisfaction in models where…

Logic in Computer Science · Computer Science 2026-02-12 Dimitar P. Guelev

Intelligent agents powered by AI planning assist people in complex scenarios, such as managing teams of semi-autonomous vehicles. However, AI planning models may be incomplete, leading to plans that do not adequately meet the stated…

Artificial Intelligence · Computer Science 2021-04-30 Ronal Singh , Tim Miller , Darryn Reid

Alternating-time temporal logic (ATL) and its extensions, including the alternating-time $\mu$-calculus (AMC), serve the specification of the strategic abilities of coalitions of agents in concurrent game structures. The key ingredient of…

Logic in Computer Science · Computer Science 2023-05-31 Merlin Humml , Lutz Schröder , Dirk Pattinson

One clock alternating timed automata (OCATA) have been introduced as natural extension of (one clock) timed automata to express the semantics of MTL. In this paper, we consider the application of OCATA to the problems of model-checking and…

Logic in Computer Science · Computer Science 2014-06-18 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts

We propose a notion of alternating bisimulation for strategic abilities under imperfect information. The bisimulation preserves formulas of ATL$^*$ for both the {\em objective} and {\em subjective} variants of the state-based semantics with…

Multiagent Systems · Computer Science 2023-10-19 Francesco Belardinelli , Rodica Condurache , Catalin Dima , Wojciech Jamroga , Michal Knapik

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

We present CGAAL, our efficient on-the-fly model checker for alternating-time temporal logic (ATL) on concurrent game structures (CGS). We present how our tool encodes ATL as extended dependency graphs with negation edges and employs the…

Many complex scenarios require the coordination of agents possessing unique points of view and distinct semantic commitments. In response, standpoint logic (SL) was introduced in the context of knowledge integration, allowing one to reason…

Artificial Intelligence · Computer Science 2023-04-28 Nicola Gigante , Lucia {Gomez Alvarez} , Tim S. Lyon

Autonomous agents often face the challenge of interpreting uncertain natural language instructions for planning tasks. Representing these instructions as Linear Temporal Logic (LTL) enables planners to synthesize actionable plans. We…

Robotics · Computer Science 2025-09-30 Kumar Manas , Stefan Zwicklbauer , Adrian Paschke

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 a formal proof of the undecidability of the model checking problem for alternating- time temporal logic under imperfect information and perfect recall semantics. This problem was announced to be undecidable according to a…

Logic in Computer Science · Computer Science 2011-02-22 Catalin Dima , Ferucio Laurentiu Tiplea

Model checking of strategic abilities for agents with memory is a notoriously hard problem, and very few attempts have been made to tackle it. In this paper, we present two important steps towards this goal. First, we take the partial-order…

Multiagent Systems · Computer Science 2025-10-21 Dilian Gurov , Filip Jamroga , Wojciech Jamroga , Mateusz Kamiński , Damian Kurpiewski , Wojciech Penczek , Teofil Sidoruk