Sequential composition of propositional logic programs

Christian Antic

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arXiv · 2009.05774

Sequential composition of propositional logic programs

Christian Antic

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Abstract

This paper introduces and studies the sequential composition and decomposition of propositional logic programs. We show that acyclic programs can be decomposed into single-rule programs and provide a general decomposition result for arbitrary programs. We show that the immediate consequence operator of a program can be represented via composition which allows us to compute its least model without any explicit reference to operators. This bridges the conceptual gap between the syntax and semantics of a propositional logic program in a mathematically satisfactory way.

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Christian Antic. 2020-09-12. Sequential composition of propositional logic programs. https://arxiv.org/abs/2009.05774

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