Olivier Laurent - Focusing in Orthologic

lmcs:2591 - Logical Methods in Computer Science, July 21, 2017, Volume 13, Issue 3 - https://doi.org/10.23638/LMCS-13(3:6)2017
Focusing in OrthologicArticle

Authors: Olivier Laurent

    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 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 to optimise proof search. We demonstrate how to take benefits from the new systems in automatic proof search for orthologic.


    Volume: Volume 13, Issue 3
    Published on: July 21, 2017
    Accepted on: May 17, 2017
    Submitted on: July 21, 2017
    Keywords: Computer Science - Logic in Computer Science,Mathematics - Logic,F.4.1
    Funding:
      Source : OpenAIRE Graph
    • PROJET AVENIR LYON SAINT-ETIENNE; Funder: French National Research Agency (ANR); Code: ANR-11-IDEX-0007
    • Realizability for classical logic, concurrency, references and rewriting; Funder: French National Research Agency (ANR); Code: ANR-11-BS02-0010
    • Community of mathematics and fundamental computer science in Lyon; Funder: French National Research Agency (ANR); Code: ANR-10-LABX-0070
    • Expanding Logical Ideas for Complexity Analysis; Funder: French National Research Agency (ANR); Code: ANR-14-CE25-0005

    Consultation statistics

    This page has been seen 1541 times.
    This article's PDF has been downloaded 267 times.