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Admissibility of Cut in Coalgebraic Logics

Date

Authors

Pattinson, Dirk

Schroder, Lutz

Publisher

Elsevier

Abstract

We study sequent calculi for propositional modal logics, interpreted over coalgebras, with admissibility of cut being the main result. As applications we present a new proof of the (already known) interpolation property for coalition logic and establish the interpolation property for the conditional logics CK and CKId.

Keywords

Keywords: Biomineralization; Differentiation (calculus); Interpolation; Numerical analysis; Co-algebras; Coalgebraic logics; interpolation properties; Modal logics; Sequent calculus; Fuzzy logic Coalgebraic Semantics; Cut Elimination; Modal Logic; Proof Theory

URI

http://hdl.handle.net/1885/82088

Collections

ANU Research Publications

Source

Electronic Notes in Theoretical Computer Science

Type

Journal article

DOI

10.1016/j.entcs.2008.05.027

Restricted until

2037-12-31

Downloads

File

Description

01_Pattinson_Admissibility_of_Cut_in_2008.pdf (272.55 KB)