[BCC11] Structural Analysis of Narratives with the Coq Proof Assistant

Rapport Scientifique : Date de dépot: 2011/03/01, Nb pages 16, (Tech. Rep.: CEDRIC-11-2061)

Mots clés: Applications of Theorem Provers, Linear Logic, Formal Models of Narratives

Résumé: This paper proposes a novel application of Interactive Proof Assistants for studying the formal properties of Narratives, building on recent work demonstrating the suitability of Intuitionistic Linear Logic as a conceptual model. More specifically, we describe a method for modelling narrative resources and actions, together with constraints on the story endings in the form of an ILL sequent. We describe how well-formed narratives can be interpreted from cut-free proof trees of the sequent obtained using Coq. We finally describe how to reason about narratives at the structural level using Coq: by allowing to prove 2nd order properties on the set of all the proofs generated by a sequent, Coq assists the verification of structural narrative properties traversing all possible variants of a given plot.

Equipe: sys
Collaboration: soc


@techreport {
title="{Structural Analysis of Narratives with the Coq Proof Assistant}",
author="A. Bosser and M. Cavazza and P. Courtieu and J. Forest",
institution="{CEDRIC laboratory, CNAM-Paris, France}",