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arXiv · 1907.02949

Proofs and surfaces

Djordje Baralic·Pierre-Louis Curien·Marina Milicevic·Jovana Obradovic·Zoran Petric·Mladen Zekic·Rade T. Zivaljevic
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Abstract

A formal sequent system dealing with Menelaus' configurations is introduced in this paper. The axiomatic sequents of the system stem from 2-cycles of Delta-complexes. The Euclidean and projective interpretations of the sequents are defined and a soundness result is proved. This system is decidable and its provable sequents deliver incidence results. A cyclic operad structure tied to this system is presented by generators and relations.

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Djordje Baralic, Pierre-Louis Curien, Marina Milicevic, Jovana Obradovic, Zoran Petric, Mladen Zekic, Rade T. Zivaljevic. 2019-07-05. Proofs and surfaces. https://arxiv.org/abs/1907.02949

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