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Alternating-time temporal logics (ATL/ATL*) represent a family of modal logics for reasoning about agents' strategic abilities in multiagent systems (MAS). The interpretations of ATL/ATL* over the semantic model Concurrent Game Structures…

Artificial Intelligence · Computer Science 2018-11-28 Yedi Zhang , Fu Song , Taolue Chen

We present two novel symbolic algorithms for model checking the Alternating-time Temporal Logic ATL*, over both the infinite-trace and the finite-trace semantics. In particular, for infinite traces we design a novel symbolic reduction to…

Logic in Computer Science · Computer Science 2025-10-22 Sofia Garcia de Blas Garcia-Alcalde , Francesco Belardinelli

Strategies synthesized using formal methods can be complex and often require infinite memory, which does not correspond to the expected behavior when trying to model Multi-Agent Systems (MAS). To capture such behaviors, natural strategies…

Logic in Computer Science · Computer Science 2025-11-27 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

Some multi-agent scenarios call for the possibility of evaluating specifications in a richer domain of truth values. Examples include runtime monitoring of a temporal property over a growing prefix of an infinite path, inconsistency…

Multiagent Systems · Computer Science 2023-11-01 Wojciech Jamroga , Beata Konikowska , Damian Kurpiewski , Wojciech Penczek

In logics for the strategic reasoning the main challenge is represented by their verification in contexts of imperfect information and perfect recall. In this work, we show a technique to approximate the verification of Alternating-time…

Multiagent Systems · Computer Science 2023-06-19 Angelo Ferrando , Vadim Malvone

Since the introduction of Alternating-time Temporal Logic (ATL), many logics have been proposed to reason about different strategic capabilities of the agents of a system. In particular, some logics have been designed to reason about the…

Logic in Computer Science · Computer Science 2017-09-08 Simon Busard , Charles Pecheur

In multi-agent system design, a crucial aspect is to ensure robustness, meaning that for a coalition of agents A, small violations of adversarial assumptions only lead to small violations of A's goals. In this paper we introduce a logical…

Logic in Computer Science · Computer Science 2023-07-21 Aniello Murano , Daniel Neider , Martin Zimmermann

We present a variant of ATL with distributed knowledge operators based on a synchronous and perfect recall semantics. The coalition modalities in this logic are based on partial observation of the full history, and incorporate a form of…

Logic in Computer Science · Computer Science 2010-08-11 Cătălin Dima , Constantin Enea , Dimitar Guelev

Alternating-time Temporal Logic (ATL*) is a central logic for multiagent systems. Its extension to the imperfect information setting (ATL*i ) is well known to have an undecidable model-checking problem when agents have perfect recall.…

Logic in Computer Science · Computer Science 2018-09-05 Raphaël Berthon , Bastien Maubert , Aniello Murano

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

Alternating-time temporal logic (ATL) allows to specify requirements on abilities that different agents should (or should not) possess in a multi-agent system. However, model checking ATL specifications in realistic systems is…

Multiagent Systems · Computer Science 2016-08-31 Wojciech Jamroga , Michał Knapik , Damian Kurpiewski

Multi-Agent Systems (MAS) are notoriously complex and hard to verify. In fact, it is not trivial to model a MAS, and even when a model is built, it is not always possible to verify, in a formal way, that it is actually behaving as we…

Logic in Computer Science · Computer Science 2023-06-19 Angelo Ferrando , Vadim Malvone

We propose a variant of Alternating-time Temporal Logic (ATL) grounded in the agents' operational know-how, as defined by their libraries of abstract plans. Inspired by ATLES, a variant itself of ATL, it is possible in our logic to…

Artificial Intelligence · Computer Science 2016-07-05 Nitin Yadav , Sebastian Sardina

Alternating-time temporal logic (ATL$^*$) is a well-established framework for formal reasoning about multi-agent systems. However, while ATL$^*$ can reason about the strategic ability of agents (e.g., some coalition $A$ can ensure that a…

Artificial Intelligence · Computer Science 2024-03-13 Raven Beutner , Bernd Finkbeiner

We present a framework for verifying Memoryful Neural Multi-Agent Systems (MN-MAS) against full Linear Temporal Logic (LTL) specifications. In MN-MAS, agents interact with a non-deterministic, partially observable environment. Examples of…

Logic in Computer Science · Computer Science 2025-03-05 Mehran Hosseini , Alessio Lomuscio , Nicola Paoletti

We present MsATL: the first tool for deciding the satisfiability of Alternating-time Temporal Logic (ATL) with imperfect information. MsATL combines SAT Modulo Monotonic Theories solvers with existing ATL model checkers: MCMAS and STV. The…

Logic in Computer Science · Computer Science 2023-10-26 Artur Niewiadomski , Magdalena Kacprzak , Damian Kurpiewski , Michał Knapik , Wojciech Penczek , Wojciech Jamroga

Verification of multi-agents systems (MAS) has been recently studied taking into account the need of expressing resource bounds. Several logics for specifying properties of MAS have been presented in quite a variety of scenarios with…

Logic in Computer Science · Computer Science 2013-07-18 Dario Della Monica , Margherita Napoli , Mimmo Parente

Autonomous agents acting in realistic Multi-Agent Systems (MAS) should be able to adapt during their execution. Standard strategic logics, such as Alternating-time Temporal Logic (ATL), model agents' state- or history-dependent behaviour.…

Logic in Computer Science · Computer Science 2026-04-30 Rustam Galimullin , Hermine Grosinger , Munyque Mittelmann

In formal strategic reasoning for Multi-Agent Systems (MAS), agents are typically assumed to (i) employ arbitrarily complex strategies, (ii) execute each move at zero cost, and (iii) operate over fully crisp game structures. These idealized…

Multiagent Systems · Computer Science 2025-12-24 Marco Aruta , Francesco Improta , Vadim Malvone , Aniello Murano

We develop an incremental tableau-based decision procedures for the Alternating-time temporal logic ATL and some of its variants. While running within the theoretically established complexity upper bound, we claim that our tableau is…

Logic in Computer Science · Computer Science 2008-09-09 Valentin Goranko , Dmitry Shkatov
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