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Mathematics > Logic

arXiv:1809.07933 (math)
[Submitted on 21 Sep 2018 (v1), last revised 25 Sep 2018 (this version, v2)]

Title:Semi De Morgan logic properly displayed

Authors:Giuseppe Greco, Fei Liang, M. Andrew Moshier, Alessandra Palmigiano
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Abstract:In the present paper, we endow a family of axiomatic extensions of semi De Morgan logic with proper multi-type display calculi which are sound, complete, conservative, and enjoy cut elimination and subformula property. Our proposal builds on an algebraic analysis of semi De Morgan algebras and its subvarieties and applies the guidelines of the multi-type methodology in the design of display calculi.
Subjects: Logic (math.LO)
Cite as: arXiv:1809.07933 [math.LO]
  (or arXiv:1809.07933v2 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.1809.07933

Submission history

From: Fei Liang [view email]
[v1] Fri, 21 Sep 2018 03:40:45 UTC (29 KB)
[v2] Tue, 25 Sep 2018 03:08:06 UTC (29 KB)
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