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Although Dynamic Epistemic Logic (DEL) is an influential logical framework for representing and reasoning about information change, little is known about the computational complexity of its associated decision problems. In fact, we only…

Logic in Computer Science · Computer Science 2013-10-29 Guillaume Aucher , Francois Schwarzentruber

We extend symbolic model checking for Dynamic Epistemic Logic (DEL) with factual change. Our transformers provide a compact representation of action models with pre- and postconditions, for both S5 and the general case. The method can be…

Logic in Computer Science · Computer Science 2019-12-24 Malvin Gattinger

Binary decision diagrams (BDDs) are widely used to mitigate the state-explosion problem in model checking. A variation of BDDs are Zero-suppressed Decision Diagrams (ZDDs) which omit variables that must be false, instead of omitting…

Logic in Computer Science · Computer Science 2023-07-12 Daniel Miedema , Malvin Gattinger

Dynamic epistemic logic (DEL) is a logical framework for representing and reasoning about knowledge change for multiple agents. An important computational task in this framework is the model checking problem, which has been shown to be…

Computational Complexity · Computer Science 2020-09-21 Ronald de Haan , Iris van de Pol

Dynamic Epistemic Logic (DEL) provides a framework for epistemic planning that is capable of representing non-deterministic actions, partial observability, higher-order knowledge and both factual and epistemic change. The high expressivity…

Artificial Intelligence · Computer Science 2023-07-31 Alessandro Burigana , Paolo Felli , Marco Montali

This article surveys some of the recent work in verification of temporal epistemic logic via symbolic model checking, focusing on OBDD-based and SAT-based approaches for epistemic logics built on discrete and real-time branching time…

Logic in Computer Science · Computer Science 2007-09-05 Alessio Lomuscio , Wojciech Penczek

Temporal Logic Model Checking is a verification method in which we describe a system, the model, and then we verify whether some properties, expressed in a temporal logic formula, hold in the system. It has many industrial applications. In…

Artificial Intelligence · Computer Science 2021-04-12 Paolo Liberatore , Marco Schaerf

In recent years, several authors have been investigating simplicial models, a model of epistemic logic based on higher-dimensional structures called simplicial complexes. In the original formulation, simplicial models were always assumed to…

Logic in Computer Science · Computer Science 2023-11-15 Eric Goubault , Roman Kniazev , Jeremy Ledent , Sergio Rajsbaum

In this paper, we introduce a lightweight dynamic epistemic logical framework for automated planning under initial uncertainty. We reduce plan verification and conformant planning to model checking problems of our logic. We show that the…

Artificial Intelligence · Computer Science 2016-06-27 Quan Yu , Yanjun Li , Yanjing Wang

We introduce the class of rational Kripke models and study symbolic model checking of the basic tense logic Kt and some extensions of it in models from that class. Rational Kripke models are based on (generally infinite) rational graphs,…

Logic in Computer Science · Computer Science 2008-10-31 Wilmari Bekker , Valentin Goranko

Symbolic model checking by using BDDs has greatly improved the applicability of model checking. Nevertheless, BDD based symbolic model checking can still be very memory and time consuming. One main reason is the complex transition relation…

Logic in Computer Science · Computer Science 2011-06-08 Christian Appold

The interpretation of propositional dynamic logic (PDL) through Kripke models requires the relations constituting the interpreting Kripke model to closely observe the syntax of the modal operators. This poses a significant challenge for an…

Logic in Computer Science · Computer Science 2011-09-19 Ernst-Erich Doberkat

Dynamic Epistemic Logic (DEL) is a family of multimodal logics that has proved to be very successful for epistemic reasoning in planning tasks. In this logic, the agent's knowledge is captured by modal epistemic operators whereas the system…

Artificial Intelligence · Computer Science 2019-05-28 Pedro Cabalar , Jorge Fandinno , Luis Fariñas del Cerro

The usual epistemic model S5n for a multi-agent system is based on a Kripke frame, which is a graph whose edges are labeled with agents that do not distinguish between two states. We propose to uncover the higher dimensional information…

Logic in Computer Science · Computer Science 2018-09-11 Éric Goubault , Jérémy Ledent , Sergio Rajsbaum

Binary decision diagrams can compactly represent vast sets of states, mitigating the state space explosion problem in model checking. Probabilistic systems, however, require multi-terminal diagrams storing rational numbers. They are…

Logic in Computer Science · Computer Science 2020-01-14 Ernst Moritz Hahn , Arnd Hartmanns

We investigate the complexity of the model checking problem for intuitionistic and modal propositional logics over transitive Kripke models. More specific, we consider intuitionistic logic IPC, basic propositional logic BPL, formal…

Computational Complexity · Computer Science 2015-07-01 Martin Mundhenk , Felix Weiss

Standard epistemic logic is concerned with describing agents' epistemic attitudes given the current set of alternatives the agents consider possible. While distributed systems can (and often are) discussed without mentioning epistemics, it…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-12 Giorgio Cignarale , Roman Kuznets

We revisit the duality between Kripke and algebraic semantics of intuitionistic and intuitionistic modal logic. We find that there is a certain mismatch between the two semantics, which means that not all algebraic models can be embedded…

Logic in Computer Science · Computer Science 2024-12-18 G. A. Kavvos

The expressive power of interval temporal logics (ITLs) makes them one of the most natural choices in a number of application domains, ranging from the specification and verification of complex reactive systems to automated planning.…

Logic in Computer Science · Computer Science 2023-06-22 Laura Bozzelli , Alberto Molinari , Angelo Montanari , Adriano Peron , Pietro Sala

Models defined by stochastic differential equations (SDEs) allow for the representation of random variability in dynamical systems. The relevance of this class of models is growing in many applied research areas and is already a standard…

Methodology · Statistics 2014-08-06 Umberto Picchini
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