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- W2114930473 abstract "This paper relates labelled transition systems and coalgebras with the motivation of comparing and combining their complementary contributions to the theory of concurrent systems. The well-known mismatch between these two notions concerning the morphisms is resolved by extending the coalgebraic framework by lax cohomomorphisms . Enriching both labelled transition systems and coalgebras with algebraic structure for an algebraic specification, the correspondence is lost again. This motivates the introduction of lax coalgebras , where the coalgebra structure is given by a lax homomorphism . The resulting category of lax coalgebras and lax cohomomorphisms for a suitable endofunctor is shown to be isomorphic to the category of structured transition systems , where both states and transitions form algebras. The framework is also presented on a more abstract categorical level using monads and comonads, extending the bialgebraic approach introduced by Turi and Plotkin." @default.
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- W2114930473 date "2001-06-01" @default.
- W2114930473 modified "2023-09-30" @default.
- W2114930473 title "A Coalgebraic presentation of structured transition systems" @default.
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- W2114930473 doi "https://doi.org/10.1016/s0304-3975(00)00121-3" @default.
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