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Dynamic epistemic logics consider formal representations of agents' knowledge, and how the knowledge of agents changes in response to informative events, such as public announcements. Quantifying over informative events allows us to ask…

Logic in Computer Science · Computer Science 2025-01-31 Hans van Ditmarsch , Tim French , Rustam Galimullin

This paper demonstrates the undecidability of a number of logics with quantification over public announcements: arbitrary public announcement logic (APAL), group announcement logic (GAL), and coalition announcement logic (CAL). In APAL we…

Logic in Computer Science · Computer Science 2024-06-07 Thomas Ågotnes , Hans van Ditmarsch , Tim French

Arbitrary public announcement logic (APAL) reasons about how the knowledge of a set of agents changes after true public announcements and after arbitrary announcements of true epistemic formulas. We consider a variant of arbitrary public…

Logic in Computer Science · Computer Science 2021-11-30 Hans van Ditmarsch , Tim French , James Hales

Various extensions of public announcement logic have been proposed with quantification over announcements. The best-known extension is called arbitrary public announcement logic, APAL. It contains a primitive language construct Box phi…

Logic in Computer Science · Computer Science 2023-06-22 Hans van Ditmarsch , Tim French

Quantification over public announcements shifts the perspective from reasoning strictly about the results of a particular announcement to reasoning about the existence of an announcement that achieves some certain epistemic goal. Depending…

Logic in Computer Science · Computer Science 2021-06-23 Hans van Ditmarsch , Tim French , Rustam Galimullin

The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIME-complete in the presence of unrestricted axioms. Several fragments of ALC, notably logics in the FL, EL, and…

Logic in Computer Science · Computer Science 2017-07-19 Arne Meier , Thomas Schneider

We provide a simple proof of the completeness of arbitrary public announcement logic APAL. The proof is an improvement over the proof found in the publication Knowable as Known after an Announcement.

Logic in Computer Science · Computer Science 2018-02-06 Philippe Balbiani , Hans van Ditmarsch

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2020-10-05 Sebastian Reiche , Christoph Benzmüller

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2022-12-12 Christoph Benzmüller , Sebastian Reiche

We investigate the complexity of the satisfiability problem for a modal logic expressing `knowing how' assertions, related to an agent's abilities to achieve a certain goal. We take one of the most standard semantics for this kind of logics…

Logic in Computer Science · Computer Science 2023-10-02 Carlos Areces , Valentin Cassano , Raul Fervari , Pablo Castro , Andres Saravia

Arbitrary Arrow Update Logic with Common Knowledge (AAULC) is a dynamic epistemic logic with (i) an arrow update operator, which represents a particular type of information change and (ii) an arbitrary arrow update operator, which…

Logic in Computer Science · Computer Science 2017-07-28 Louwe B. Kuijer

The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIME-complete in the presence of unrestricted axioms. Several fragments of ALC, notably logics in the FL, EL, and…

Logic in Computer Science · Computer Science 2010-03-30 Arne Meier , Thomas Schneider

In standard epistemic logic, knowing that p is the same as knowing that p is true, but it does not say anything about understanding p or knowing its meaning. In this paper, we present a conservative extension of Public Announcement Logic…

Logic in Computer Science · Computer Science 2019-07-23 Malvin Gattinger , Yanjing Wang

Weighted knowledge bases for description logics with typicality under a "concept-wise" multi-preferential semantics provide a logical interpretation of MultiLayer Perceptrons. In this context, Answer Set Programming (ASP) has been shown to…

Artificial Intelligence · Computer Science 2023-03-28 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

Public announcement logic(PAL) is an extension of epistemic logic (EL) with some reduction axioms. In this paper, we propose a cut-free labelled sequent calculus for PAL, which is an extension of that for EL with sequent rules adapted from…

Logic in Computer Science · Computer Science 2022-10-28 Hao Wu , Hans van Ditmarsch , Jinsheng Chen

Epistemic logics typically talk about knowledge of individual agents or groups of explicitly listed agents. Often, however, one wishes to express knowledge of groups of agents specified by a given property, as in `it is common knowledge…

Artificial Intelligence · Computer Science 2022-11-30 Merlin Humml , Lutz Schröder

Logics for reasoning about knowledge and actions have seen many applications in various domains of multi-agent systems, including epistemic planning. Change of knowledge based on observations about the surroundings forms a key aspect in…

Artificial Intelligence · Computer Science 2025-08-14 Avijeet Ghosh , Sujata Ghosh , François Schwarzentruber

In logic-based knowledge representation, query answering has essentially replaced mere satisfiability checking as the inferencing problem of primary interest. For knowledge bases in the basic description logic ALC, the computational…

Logic in Computer Science · Computer Science 2021-08-17 Bartosz Bednarczyk , Sebastian Rudolph

Temporal logics for the specification of information-flow properties are able to express relations between multiple executions of a system. The two most important such logics are HyperLTL and HyperCTL*, which generalise LTL and CTL* by…

Logic in Computer Science · Computer Science 2025-01-15 Marie Fortin , Louwe B. Kuijer , Patrick Totzke , Martin Zimmermann

Let L be some extension of classical propositional logic. The non-iterated probabilistic logic over L, is the logic PL that is defined by adding non-nested probabilistic operators in the language of L. For example in PL we can express a…

Logic in Computer Science · Computer Science 2019-02-12 Ioannis Kokkinis
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