2006•ePrints Soton (University of Southampton)Open access

Relating Algebraic and Coalgebraic Logics of Knowledge and Update

Mehrnoosh Sadrzadeh, Corina Ĉırstea

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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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What this paper is about

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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Available 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.

Key concepts: Coalgebra, Algebraic semantics, Recursion (computer science), Algebraic number, Algebra over a field, Dynamic logic (digital electronics), Mathematics, Semantics (computer science)

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