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Bialgebraic Semantics for Logic Programming

Filippo Bonchi ; Fabio Zanasi.

Bialgebrae provide an abstract framework encompassing the semantics of different kinds of computational models. In this paper we propose a bialgebraic approach to the semantics of logic programming. Our methodology is to study logic programs as reactive systems and exploit abstract techniques&nbsp;[&hellip;]

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Generalizing determinization from automata to coalgebras

Alexandra Silva ; Filippo Bonchi ; Marcello Bonsangue ; Jan Rutten.

The powerset construction is a standard method for converting a nondeterministic automaton into a deterministic one recognizing the same language. In this paper, we lift the powerset construction from automata to the more general framework of coalgebras with structured state spaces. Coalgebra is an&nbsp;[&hellip;]

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Coalgebraic Behavioral Metrics

Paolo Baldan ; Filippo Bonchi ; Henning Kerstan ; Barbara König.

We study different behavioral metrics, such as those arising from both branching and linear-time semantics, in a coalgebraic setting. Given a coalgebra $\alpha\colon X \to HX$ for a functor $H \colon \mathrm{Set}\to \mathrm{Set}$, we define a framework for deriving pseudometrics on $X$ which measure&nbsp;[&hellip;]

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