Some Sahlqvist Completeness Results for Coalgebraic Logics

نویسندگان

  • Fredrik Dahlqvist
  • Dirk Pattinson
چکیده

This paper presents a first step towards completeness-viacanonicity 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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تاریخ انتشار 2013