Structural Analysis of Narratives with the Coq Proof Assistant.
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 mod-
elling 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 ob-
tained using Coq. We finally describe how to reason about narratives at
the structural level using Coq: by allowing one to prove 2nd order prop-
erties 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.