Proofs and surfaces

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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Submitted on : Thursday, August 1, 2019 - 2:09:36 AM
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Djordje Baralic, Pierre-Louis Curien, Marina Milicevic, Jovana Obradovic, Zoran Petric, et al.. Proofs and surfaces. 2019. ⟨hal-02223002⟩



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