Focusing in Orthologic
Résumé
We propose new sequent calculus systems for orthologic (also known as minimal quantum logic) which satisfy the cut elimination property. The first one is a very simple system relying on the involutive status of negation. The second one incorporates the notion of focusing (coming from linear logic) to add constraints on proofs and thus to facilitate proof search.
We demonstrate how to take benefits from the new systems in automatic proof search for orthologic.
Format | Autre |
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Origine | Fichiers produits par l'(les) auteur(s) |
Commentaire | OCaml code, rename file as olf.ml |
Format | Autre |
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Origine | Fichiers produits par l'(les) auteur(s) |
Commentaire | Coq code, rename file as olf.v |