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Relating Algebraic and Coalgebraic Logics of Knowledge and Update

Relating Algebraic and Coalgebraic Logics of Knowledge and Update
Relating Algebraic and Coalgebraic Logics of Knowledge and Update
We provide a Coalgebraic semantics for dynamic epistemic logic and prove the muddy children puzzle using recursion. We show how by applying a similar approach to Jacob's predicate lifting to our Coalgebra, one obtains the algebraic logic version of dynmic epistemic logic.
algebra, coalgebra, logic, knowledge, actions, update, multi-agent systems
Sadrzadeh, Mehrnoosh
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Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
van der Hoek, Wiebe
d32a7f7a-36b5-480c-8ea0-4e92a1f15610
Wooldridge, Michael
94674704-0392-4b93-83db-18198c2cfa3b
Bonanno, Giacomo
93596aa0-2092-43a7-aeed-0bb26b9afb57
Sadrzadeh, Mehrnoosh
8378dbf9-bb16-483c-9380-6c329e299fea
Cirstea, Corina
ce5b1cf1-5329-444f-9a76-0abcc47a54ea
van der Hoek, Wiebe
d32a7f7a-36b5-480c-8ea0-4e92a1f15610
Wooldridge, Michael
94674704-0392-4b93-83db-18198c2cfa3b
Bonanno, Giacomo
93596aa0-2092-43a7-aeed-0bb26b9afb57

Sadrzadeh, Mehrnoosh and Cirstea, Corina, (2006) Relating Algebraic and Coalgebraic Logics of Knowledge and Update van der Hoek, Wiebe, Wooldridge, Michael and Bonanno, Giacomo (eds.) At Logic and the Foundations of Game and Decision Theory. 13 - 16 Jul 2006.

Record type: Conference or Workshop Item (Paper)

Abstract

We provide a Coalgebraic semantics for dynamic epistemic logic and prove the muddy children puzzle using recursion. We show how by applying a similar approach to Jacob's predicate lifting to our Coalgebra, one obtains the algebraic logic version of dynmic epistemic logic.

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More information

Published date: 2006
Additional Information: Event Dates: July 13-16
Venue - Dates: Logic and the Foundations of Game and Decision Theory, 2006-07-13 - 2006-07-16
Keywords: algebra, coalgebra, logic, knowledge, actions, update, multi-agent systems
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 262836
URI: http://eprints.soton.ac.uk/id/eprint/262836
PURE UUID: 5b870d9b-ea6e-4587-9f6f-1beb92236aac

Catalogue record

Date deposited: 12 Jul 2006
Last modified: 18 Jul 2017 08:47

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Contributors

Author: Mehrnoosh Sadrzadeh
Author: Corina Cirstea
Editor: Wiebe van der Hoek
Editor: Michael Wooldridge
Editor: Giacomo Bonanno

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