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Rational verification refers to the problem of checking which temporal logic properties hold of a concurrent multiagent system, under the assumption that agents in the system choose strategies that form a game-theoretic equilibrium.…

Logic in Computer Science · Computer Science 2022-07-19 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

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

The threat of algorithmic collusion, and whether it merits regulatory intervention, remains debated, as existing evaluations of its emergence often rely on long learning horizons, assumptions about counterparty rationality in adopting…

Multiagent Systems · Computer Science 2026-03-11 Yuhong Luo , Daniel Schoepflin , Xintong Wang

We study self-triggered two-player stochastic games on Piecewise Deterministic Markov Processes (PDMPs) where each agent decides when to observe and which open-loop action to hold. Augmenting the state with clocks and committed controls…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Yunian Pan , Quanyan Zhu

Large language models excel at generating fluent text but frequently struggle with structured reasoning involving temporal constraints, causal relationships, and probabilistic reasoning. To address these limitations, we propose Temporal…

Artificial Intelligence · Computer Science 2025-06-24 Hong Qing Yu

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

We study a distributed allocation process where, repeatedly in time, every player renegotiates past allocations with neighbors and allocates new revenues. The average allocations evolve according to a doubly (over time and space) averaging…

Optimization and Control · Mathematics 2013-10-08 Dario Bauso , Giuseppe Notarstefano

Text-based games present a unique class of sequential decision making problem in which agents interact with a partially observable, simulated environment via actions and observations conveyed through natural language. Such observations…

Machine Learning · Computer Science 2022-11-10 Mathieu Tuli , Andrew C. Li , Pashootan Vaezipoor , Toryn Q. Klassen , Scott Sanner , Sheila A. McIlraith

We study the underlying mathematical properties of various partial order models of concurrency based on transition systems, Petri nets, and event structures, and show that the concurrent behaviour of these systems can be captured in a…

Logic in Computer Science · Computer Science 2010-11-05 Julian Gutierrez

We design temporal description logics suitable for reasoning about temporal conceptual data models and investigate their computational complexity. Our formalisms are based on DL-Lite logics with three types of concept inclusions (ranging…

Logic in Computer Science · Computer Science 2014-05-05 Alessandro Artale , Roman Kontchakov , Vladislav Ryzhikov , Michael Zakharyaschev

In temporal logics, a central question is about the choice of modalities and their relative expressive power, in comparison to the complexity of decision problems such as satisfiability. In this tutorial, we will illustrate the study of…

Logic in Computer Science · Computer Science 2017-03-08 Kamal Lodaya , Paritosh K. Pandya

Linear Temporal Logic (LTL) is a widely used specification framework for linear time properties of systems. The standard approach for verifying such properties is by transforming LTL formulae to suitable $\omega$-automata and then applying…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Martin Sulzmann , Peter Thiemann

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

Constraint linear-time temporal logic (CLTL) is an extension of LTL that is interpreted on sequences of valuations of variables over an infinite domain. The atomic formulas are interpreted as constraints on the valuations. The atomic…

Logic in Computer Science · Computer Science 2022-07-15 Ashwin Bhaskar , M. Praveen

Understanding a \textit{reinforcement learning} policy, which guides state-to-action mappings to maximize rewards, necessitates an accompanying explanation for human comprehension. In this paper, we introduce a set of \textit{linear…

Artificial Intelligence · Computer Science 2025-05-01 Mikihisa Yuasa , Huy T. Tran , Ramavarapu S. Sreenivas

Temporal logics are an obvious high-level descriptive companion formalism to dynamical systems which model behavior as deterministic evolution of state over time. A wide variety of distinct temporal logics applicable to dynamical systems…

Logic in Computer Science · Computer Science 2012-12-11 Baltasar Trancón y Widemann

This work proposes a symbolic algorithm for the construction of assume-guarantee specifications that allow multiple agents to cooperate. Each agent is assigned goals expressed in a fragment of linear temporal logic known as generalized…

Logic in Computer Science · Computer Science 2015-08-12 Ioannis Filippidis , Richard M. Murray

We introduce Value Coalition Logic, a typed assignment-based reconstruction of classical coalition logic. The strategic semantics is unchanged: coalitional ability is still interpreted by the standard one-step game-form clause. The change…

Logic in Computer Science · Computer Science 2026-05-26 Shanxia Wang

Coalition Logic is an important logic in logical studies of strategic reasoning, whose models are concurrent game models. In this paper, first, we systematically discuss three assumptions of concurrent game models and argue that they are…

Logic in Computer Science · Computer Science 2025-09-12 Yinfeng Li , Fengkui Ju

Learning control policies for complex, long-horizon tasks is a central challenge in robotics and autonomous systems. Signal Temporal Logic (STL) offers a powerful and expressive language for specifying such tasks, but its non-Markovian…

Robotics · Computer Science 2025-10-02 Yue Meng , Fei Chen , Chuchu Fan