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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

Rational verification is the problem of determining which temporal logic properties will hold in a multi-agent system, under the assumption that agents in the system act rationally, by choosing strategies that collectively form a…

Multiagent Systems · Computer Science 2021-07-27 Julian Gutierrez , Lewis Hammond , Anthony W. Lin , Muhammad Najib , Michael Wooldridge

We introduce a subclass of concurrent game structures (CGS) with imperfect information in which agents are endowed with private data-sharing capabilities. Importantly, our CGSs are such that it is still decidable to model-check these CGSs…

Logic in Computer Science · Computer Science 2022-04-20 Francesco Belardinelli , Ioana Boureanu , Catalin Dima , Vadim Malvone

Epistemic uncertainty is often viewed as a reducible uncertainty that vanishes with increasing data. This perspective implicitly assumes parameter identifiability and equates epistemic uncertainty with predictive variability. In…

Machine Learning · Computer Science 2026-05-26 David Rügamer

Machine learning researchers and practitioners steadily enlarge the multitude of successful learning models. They achieve this through in-depth theoretical analyses and experiential heuristics. However, there is no known general-purpose…

Computational Complexity · Computer Science 2023-10-18 Matthias C. Caro

As large language models become increasingly capable, it is critical that their outputs can be easily checked by less capable systems. Prover-verifier games can be used to improve checkability of model outputs, but display a degradation in…

Artificial Intelligence · Computer Science 2026-02-27 Yegon Kim , Juho Lee

This paper investigates first-order game logic and first-order modal mu-calculus, which extend their propositional modal logic counterparts with first-order modalities of interpreted effects such as variable assignments. Unlike in the…

Logic in Computer Science · Computer Science 2022-02-14 Noah Abou El Wafa , André Platzer

Model checking linear-time properties expressed in first-order logic has non-elementary complexity, and thus various restricted logical languages are employed. In this paper we consider two such restricted specification logics, linear…

Logic in Computer Science · Computer Science 2019-03-14 Michael Benedikt , Rastislav Lenhardt , James Worrell

Uncertainty representation and quantification are paramount in machine learning and constitute an important prerequisite for safety-critical applications. In this paper, we propose novel measures for the quantification of aleatoric and…

Machine Learning · Computer Science 2024-04-22 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

Characterizing aleatoric and epistemic uncertainty on the predicted rewards can help in building reliable reinforcement learning (RL) systems. Aleatoric uncertainty results from the irreducible environment stochasticity leading to…

Machine Learning · Computer Science 2022-06-06 Bertrand Charpentier , Ransalu Senanayake , Mykel Kochenderfer , Stephan Günnemann

In this paper we show that the problem of checking consistency of a knowledge base in the Description Logic ALCM is ExpTime-complete. The M stands for meta-modelling as defined by Motz, Rohrer and Severi. To show our main result, we define…

Logic in Computer Science · Computer Science 2015-11-13 Monica Martinez , Edelweis Rohrer , Paula Severi

We prove a general decomposition theorem for the modal $\mu$-calculus $L_\mu$ in the spirit of Feferman and Vaught's theorem for disjoint unions. In particular, we show that if a structure (i.e., transition system) is composed of two…

Logic · Mathematics 2014-05-12 Mikolaj Bojanczyk , Christoph Dittmann , Stephan Kreutzer

We investigate the problem of learning description logic ontologies from entailments via queries, using epistemic reasoning. We introduce a new learning model consisting of epistemic membership and example queries and show that polynomial…

Artificial Intelligence · Computer Science 2019-02-12 Ana Ozaki , Nicolas Troquard

Coping with ambiguous questions has been a perennial problem in real-world dialogue systems. Although clarification by asking questions is a common form of human interaction, it is hard to define appropriate questions to elicit more…

Computation and Language · Computer Science 2020-12-18 Xiang Hu , Zujie Wen , Yafang Wang , Xiaolong Li , Gerard de Melo

Test-time reasoning significantly enhances pre-trained AI agents' performance. However, it requires an explicit environment model, often unavailable or overly complex in real-world scenarios. While MuZero enables effective model learning…

Artificial Intelligence · Computer Science 2025-10-07 Ondřej Kubíček , Viliam Lisý

This paper addresses a significant gap in explainable AI: the necessity of interpreting epistemic uncertainty in model explanations. Although current methods mainly focus on explaining predictions, with some including uncertainty, they fail…

Artificial Intelligence · Computer Science 2024-10-10 Helena Löfström , Tuwe Löfström , Johan Hallberg Szabadvary

Conditional independence reasoning has been shown to be helpful in the context of Bayesian nets to optimize probabilistic inference, and related techniques have been applied to speed up a number of logical reasoning tasks in boolean logic…

Logic in Computer Science · Computer Science 2016-10-14 Ron van der Meyden

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent real-time extensions of Linear Temporal Logic (LTL). In general, the satisfiability checking problem for these extensions is undecidable when both the…

Logic in Computer Science · Computer Science 2021-09-07 Shankara Narayanan Krishna , Khushraj Madnani , Manuel Mazo , Paritosh K. Pandya

We argue that the extensive-form game (EFG) model isn't powerful enough to express all important aspects of imperfect information games, such as those related to decomposition and online game solving. We present a principled attempt to fix…

Computer Science and Game Theory · Computer Science 2019-06-17 Vojtěch Kovařík , Viliam Lisý

We report on COOL-MC, a model checking tool for fixpoint logics that is parametric in the branching type of models (nondeterministic, game-based, probabilistic etc.) and in the next-step modalities used in formulae. The tool implements…

Logic in Computer Science · Computer Science 2023-11-06 Daniel Hausmann , Merlin Humml , Simon Prucker , Lutz Schröder , Aaron Strahlberger