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Symbolic and Asynchronous Semantics via Normalized Coalgebras

Filippo Bonchi ; Ugo Montanari.

The operational semantics of interactive systems is usually described by labeled transition systems. Abstract semantics (that is defined in terms of bisimilarity) is characterized by the final morphism in some category of coalgebras. Since the behaviour of interactive systems is for many reasons&nbsp;[&hellip;]

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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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The Theory of Traces for Systems with Nondeterminism, Probability, and Termination

Filippo Bonchi ; Ana Sokolova ; Valeria Vignudelli.

This paper studies trace-based equivalences for systems combining nondeterministic and probabilistic choices. We show how trace semantics for such processes can be recovered by instantiating a coalgebraic construction known as the generalised powerset construction. We characterise and compare the&nbsp;[&hellip;]

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Convexity via Weak Distributive Laws

Filippo Bonchi ; Alessio Santamaria.

We study the canonical weak distributive law $\delta$ of the powerset monad over the semimodule monad for a certain class of semirings containing, in particular, positive semifields. For this subclass we characterise $\delta$ as a convex closure in the free semimodule of a set. Using the abstract&nbsp;[&hellip;]

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