[cs/0211021] Sequent and Hypersequent Calculi for Abelian and Lukasiewicz Logics
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Computer Science > Logic in Computer Science

arXiv:cs/0211021 (cs)
[Submitted on 18 Nov 2002]

Title:Sequent and Hypersequent Calculi for Abelian and Lukasiewicz Logics

Authors:G. Metcalfe, N. Olivetti, D. Gabbay
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Abstract: We present two embeddings of infinite-valued Lukasiewicz logic L into Meyer and Slaney's abelian logic A, the logic of lattice-ordered abelian groups. We give new analytic proof systems for A and use the embeddings to derive corresponding systems for L. These include: hypersequent calculi for A and L and terminating versions of these calculi; labelled single sequent calculi for A and L of complexity co-NP; unlabelled single sequent calculi for A and L.
Comments: 35 pages, 1 figure
Subjects: Logic in Computer Science (cs.LO)
ACM classes: F.4.1;I.2.3
Cite as: arXiv:cs/0211021 [cs.LO]
  (or arXiv:cs/0211021v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.cs/0211021

Submission history

From: George Metcalfe [view email]
[v1] Mon, 18 Nov 2002 12:08:17 UTC (35 KB)
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