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Coalgebraic correspondence theory

Date

Authors

Schroder, Lutz

Pattinson, Dirk

Publisher

Conference Organising Committee

Abstract

We lay the foundations of a first-order correspondence theory for coalgebraic logics that makes the transition structure explicit in the first-order modelling. In particular, we prove a coalgebraic version of the van Benthem/Rosen theorem stating that both over arbitrary structures and over finite structures, coalgebraic modal logic is precisely the bisimulation invariant fragment of first-order logic.

Keywords

Keywords: Arbitrary structures; Bisimulations; Coalgebraic; Coalgebraic logic; Finite structures; First order logic; First-order; Modal logic; Transition structures; Formal logic; Computer software

URI

http://hdl.handle.net/1885/83604

Collections

ANU Research Publications

Source

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Type

Conference paper

DOI

10.1007/978-3-642-12032-9_23

Restricted until

2037-12-31

Downloads

File

Description

01_Schroder_Coalgebraic_correspondence_2010.pdf (189.4 KB)

02_Schroder_Coalgebraic_correspondence_2010.pdf (213.86 KB)