# Focusing in Orthologic

arXiv: https://arxiv.org/abs/1612.01728 · HTML: https://mlsanity.com/paper/1612.01728/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 6 Dec 2016.

## Built on by (most cited first, 1 of 1)

- [Orthologic for SAT Solving](https://mlsanity.com/paper/2605.16421/) (2026)

## Abstract (arXiv)

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.