Relating Algebraic and Coalgebraic Logics of Knowledge and Update
Mehrnoosh Sadrzadeh, Corina Ĉırstea
Abstract
Open-access reader
Mehrnoosh Sadrzadeh, Corina Ĉırstea
Abstract
Open-access reader
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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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)