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Computer Science > Logic in Computer Science

arXiv:2204.06733v1 (cs)
[Submitted on 14 Apr 2022]

Title:Cyclic Negations and Four-valuedness

Authors:Oleg Grigoriev (Lomonosov Moscow State University), Dmitry Zaitsev (Lomonosov Moscow State University)
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Abstract:We consider an example of four valued semantics partially inspired by quantum computations and negation-like operations occurred therein. In particular we consider a representation of so called square root of negation within this four valued semantics as an operation which acts like a cycling negation. We define two variants of logical matrices performing different orders over the set of truth values. Purely formal logical result of our study consists in axiomatizing the logics of defined matrices as the systems of binary consequence relation and proving correctness and completeness theorems for these deductive systems.
Comments: In Proceedings NCL 2022, arXiv:2204.06359
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:2204.06733 [cs.LO]
  (or arXiv:2204.06733v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.2204.06733
Journal reference: EPTCS 358, 2022, pp. 216-226
Related DOI: https://doi.org/10.4204/EPTCS.358.16

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Thu, 14 Apr 2022 03:27:33 UTC (17 KB)
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