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BISIMULATIONS FOR KNOWING HOW LOGICS

Part of: General logic Theory of computing Artificial intelligence (68Txx)

Published online by Cambridge University Press:  22 March 2021

RAUL FERVARI ,
FERNANDO R. VELÁZQUEZ-QUESADA  and
YANJING WANG
RAUL FERVARI
Affiliation:
FACULTAD DE MATEMÁTICA, ASTRONOMÍA, FÍSICA Y COMPUTACIÓN UNIVERSIDAD NACIONAL DE CÓRDOBA MEDINA ALLENDE S/N, CÓRDOBA, ARGENTINAE-mail: rfervari@unc.edu.arURL: http://cs.famaf.unc.edu.ar/~rfervari
FERNANDO R. VELÁZQUEZ-QUESADA
Affiliation:
INSTITUTE FOR LOGIC, LANGUAGE AND COMPUTATION UNIVERSITEIT VAN AMSTERDAM P.O. BOX 94242, 1090, GE AMSTERDAM, THE NETHERLANDSE-mail: F.R.VelazquezQuesada@uva.nlURL: http://staff.fnwi.uva.nl/f.r.velazquezquesada
YANJING WANG
Affiliation:
FACULTAD DE MATEMÁTICA, ASTRONOMÍA, FÍSICA Y COMPUTACIÓN UNIVERSIDAD NACIONAL DE CÓRDOBA MEDINA ALLENDE S/N, CÓRDOBA, ARGENTINAE-mail: rfervari@unc.edu.arURL: http://cs.famaf.unc.edu.ar/~rfervari DEPARTMENT OF PHILOSOPHY PEKING UNIVERSITY 100871 BEIJING, CHINAE-mail: y.wang@pku.edu.cnURL: http://wangyanjing.com/
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Abstract

As a new type of epistemic logics, the logics of knowing how capture the high-level epistemic reasoning about the knowledge of various plans to achieve certain goals. Existing work on these logics focuses on axiomatizations; this paper makes the first study of their model theoretical properties. It does so by introducing suitable notions of bisimulation for a family of five knowing how logics based on different notions of plans. As an application, we study and compare the expressive power of these logics.

Keywords

epistemic logicknowing howbisimulation

MSC classification

Primary: 03B42: Logics of knowledge and belief (including belief change)
Secondary: 03B45: Modal logic (including the logic of norms) 03B70: Logic in computer science 68T27: Logic in artificial intelligence 68Q85: Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
Type
Research Article
Information
The Review of Symbolic Logic , Volume 15 , Issue 2 , June 2022 , pp. 450 - 486
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Copyright
© The Author(s), 2021. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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