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 (homomorphicimages).
CITATION STYLE
Kurz, A. (2002). Logics admitting final semantics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2303, pp. 238–249). Springer Verlag. https://doi.org/10.1007/3-540-45931-6_17
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