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arXiv · 2005.08257

Bouncing threads for infinitary and circular proofs

David Baelde·Amina Doumane·Denis Kuperberg·Alexis Saurin
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Abstract

We generalize the validity criterion for the infinitary proof system of the multiplicative additive linear logic with fixed points. Our criterion is designed to take into account axioms and cuts. We show that it is sound and enjoys the cut elimination property. We finally study its decidability properties, and prove that it is undecidable in general but becomes decidable under some restrictions.

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David Baelde, Amina Doumane, Denis Kuperberg, Alexis Saurin. 2020-05-17. Bouncing threads for infinitary and circular proofs. https://arxiv.org/abs/2005.08257

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