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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

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

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

Probabilistic systems are an important theme in AI domain. As the specification language, the logic PCTL is now the default logic for reasoning about probabilistic properties. In this paper, we present a natural and succinct probabilistic…

Logic in Computer Science · Computer Science 2015-05-11 Wanwei Liu , Lei Song , Ji Wang , Lijun Zhang

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

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

We consider the setting of stochastic multiagent systems modelled as stochastic multiplayer games and formulate an automated verification framework for quantifying and reasoning about agents' trust. To capture human trust, we work with a…

Logic in Computer Science · Computer Science 2019-05-17 Xiaowei Huang , Marta Kwiatkowska , Maciej Olejnik

Stochastic multi-agent systems are a central modeling framework for autonomous controllers, communication protocols, and cyber-physical infrastructures. In many such systems, however, transition probabilities are only estimated from data…

Logic in Computer Science · Computer Science 2026-02-17 Raphaël Berthon , Joost-Pieter Katoen , Munyque Mittelmann , Aniello Murano

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

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

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

Model checking of strategic abilities is a notoriously hard problem, even more so in the realistic case of agents with imperfect information, acting in a stochastic environment. Assume-guarantee reasoning can be of great help here,…

Multiagent Systems · Computer Science 2025-11-17 Wojciech Jamroga , Damian Kurpiewski , Łukasz Mikulski

Responsibility plays a key role in the development and deployment of trustworthy autonomous systems. In this paper, we focus on the problem of strategic reasoning in probabilistic multi-agent systems with responsibility-aware agents. We…

Artificial Intelligence · Computer Science 2024-12-23 Chunyan Mu , Muhammad Najib , Nir Oren

Probabilistic model checking is a technique for formal automated reasoning about software or hardware systems that operate in the context of uncertainty or stochasticity. It builds upon ideas and techniques from a diverse range of fields,…

Logic in Computer Science · Computer Science 2023-08-08 David Parker

In this paper, we investigate the probabilistic variants of the strategy logics ATL and ATL* under imperfect information. Specifically, we present novel decidability and complexity results when the model transitions are stochastic and…

Multiagent Systems · Computer Science 2023-10-27 Francesco Belardinelli , Wojciech Jamroga , Munyque Mittelmann , Aniello Murano

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

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

Statistical model checking (SMC) is a technique for analysis of probabilistic systems that may be (partially) unknown. We present an SMC algorithm for (unbounded) reachability yielding probably approximately correct (PAC) guarantees on the…

Systems and Control · Computer Science 2021-02-02 Pranav Ashok , Jan Křetínský , Maximilian Weininger

As multi-agent reinforcement learning (MARL) systems are increasingly deployed throughout society, it is imperative yet challenging for users to understand the emergent behaviors of MARL agents in complex environments. This work presents an…

Artificial Intelligence · Computer Science 2023-05-18 Kayla Boggess , Sarit Kraus , Lu Feng

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
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