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.

Comment: Small rewritings. Updated benchmark section. Updated coq and ocaml files

https://doi.org/10.23638/LMCS-13(3:6)2017
Source: arXiv.org:1612.01728
Volume: Volume 13, Issue 3
Published on: July 21, 2017
Imported on: July 21, 2017
Keywords: Computer Science - Logic in Computer Science, Mathematics - Logic, F.4.1
Licence: arXiv.org - Non-exclusive license to distribute
Funding:
    Source : OpenAIRE Graph
  • Funder: French National Research Agency (ANR); Code: ANR-11-IDEX-0007
  • Expanding Logical Ideas for Complexity Analysis; Funder: French National Research Agency (ANR); Code: ANR-14-CE25-0005
  • Realizability for classical logic, concurrency, references and rewriting; Funder: French National Research Agency (ANR); Code: ANR-11-BS02-0010
  • Realizability for classical logic, concurrency, references and rewriting; Funder: French National Research Agency (ANR); Code: ANR-10-LABX-0070

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