Logics Admitting Final Semantics

Alexander Kurz

To appear at Foundations of Software Science and Computation Structures (FOSSACS02), Grenoble, France, 6-14 April, 2002

Abstract

A logic for coalgebras is said to admit final semantics iff---up to some technical requirements---all definable classes contain a fully abstract final coalgebra. It is shown that a logic admits final semantics iff the formulas of the logic are preserved under coproducts (disjoint unions) and quotients (homomorphic images).

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