Focusing in Orthologic

Author Olivier Laurent

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Olivier Laurent

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Olivier Laurent. Focusing in Orthologic. In 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 52, pp. 25:1-25:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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.
  • orthologic
  • focusing
  • minimal quantum logic
  • linear logic
  • automatic proof search
  • cut elimination


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