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Refinement Quantified Logics of Knowledge
Author(s) -
James Hales,
Tim French,
Rowan Davies
Publication year - 2011
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2011.10.008
Subject(s) - accessibility relation , doxastic logic , epistemic modal logic , modal logic , normal modal logic , modal , computer science , interpretation (philosophy) , possible world , multimodal logic , relation (database) , theoretical computer science , binary relation , algorithm , description logic , mathematics , discrete mathematics , programming language , epistemology , data mining , philosophy , chemistry , polymer chemistry
Refinement quantifiers were introduced to quantify over all refinements of a model in modal logic, where a refinement is described by a simulation relation. Given the “possible worlds” interpretation of modal logic, a refinement corresponds to an agent ruling out certain possible worlds based on new information. Recent work by van Ditmarsch, French and Pinchinat has presented an axiomatization and complexity results for refinement quantifiers in the general modal logic K. Here we extend these results to apply to the epistemic and doxastic settings for a single agent

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