Certifying Standard and Stratified Datalog Inference Engines in Ssreflect Véronique Benzaken, Évelyne Contejean, Stefania Dumbrava
Certifying Standard and Stratified Datalog Inference Engines in SSReflect Véronique Benzaken, Évelyne Contejean, Stefania Dumbrava To cite this version: Véronique Benzaken, Évelyne Contejean, Stefania Dumbrava. Certifying Standard and Stratified Datalog Inference Engines in SSReflect. International Conference on Interective Theorem Proving, 2017, Brasilia, Brazil. hal-01745566 HAL Id: hal-01745566 https://hal.archives-ouvertes.fr/hal-01745566 Submitted on 28 Mar 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Certifying Standard and Stratified Datalog Inference Engines in SSReflect V´eroniqueBenzaken1, Evelyne´ Contejean2, and Stefania Dumbrava3 1 Universit´eParis Sud, LRI, France 2 CNRS, LRI, Universit´eParis Sud, France 3 LIRIS, Universit´eLyon 1, France Abstract. We propose a SSReflect library for logic programming in the Datalog setting. As part of this work, we give a first mechaniza- tion of standard Datalog and of its extension with stratified negation. The library contains a formalization of the model theoretical and fix- point semantics of the languages, implemented through bottom-up and, respectively, through stratified evaluation procedures. We provide cor- responding soundness, termination, completeness and model minimality proofs. To this end, we rely on the Coq proof assistant and SSReflect.
[Show full text]