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Some Sahlqvist completeness results for coalgebraic logics

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Date

2013

Authors

Dahlqvist, Fredrik
Pattinson, Dirk

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Abstract

This paper presents a first step towards completeness-via-canonicity results for coalgebraic modal logics. Specifically, we consider the relationship between classes of coalgebras for ω-accessible endofunctors and logics defined by Sahlqvist-like frame conditions. Our strategy is based on conjoining two well-known approaches: we represent accessible functors as (equational) quotients of polynomial functors and then use canonicity results for boolean algebras with operators to transport completeness to the coalgebraic setting.

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Keywords

canonicity, coalgebraic modal logic, completeness, Modal logic, Sahlqvist formula

Citation

URI

https://hdl.handle.net/1885/733799001

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ANU Research Publications

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Conference paper

Book Title

Foundations of Software Science and Computation Structures - 16th Int. Conference, FOSSACS 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013, Proc.

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Publication

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DOI

10.1007/978-3-642-37075-5_13

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