Verifying Tight Logic Programs with anthem and vampire
Jorge Fandinno, Vladimir Lifschitz, Patrick Lühne, Torsten Schaub
Abstract
Abstract This paper continues the line of research aimed at investigating the relationship between logic programs and first-order theories. We extend the definition of program completion to programs with input and output in a subset of the input language of the ASP grounder gringo, study the relationship between stable models and completion in this context, and describe preliminary experiments with the use of two software tools, anthem and vampire, for verifying the correctness of programs with input and output. Proofs of theorems are based on a lemma that relates the semantics of programs studied in this paper to stable models of first-order formulas.
Topics & Concepts
VampireComputer scienceLemma (botany)Programming languageCorrectnessMathematical proofContext (archaeology)Semantics (computer science)Theoretical computer scienceMathematicsBiologyPoaceaeGeometryEcologyPaleontologyLogic, Reasoning, and KnowledgeLogic, programming, and type systemsAI-based Problem Solving and Planning