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Computer Science > Logic in Computer Science

arXiv:cs/0410029 (cs)
[Submitted on 14 Oct 2004]

Title:Nondeterministic Linear Logic

Authors:Satoshi Matsuoka
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Abstract: In this paper, we introduce Linear Logic with a nondeterministic facility, which has a self-dual additive connective. In the system the proof net technology is available in a natural way. The important point is that nondeterminism in the system is expressed by the process of normalization, not by proof search. Moreover we can incorporate the system into Light Linear Logic and Elementary Linear Logic developed by this http URL recently: Nondeterministic Light Linear Logic and Nondeterministic Elementary Linear Logic are defined in a very natural way.
Subjects: Logic in Computer Science (cs.LO)
Cite as: arXiv:cs/0410029 [cs.LO]
  (or arXiv:cs/0410029v1 [cs.LO] for this version)
  https://doi.org/10.48550/arXiv.cs/0410029
Journal reference: IPSJ SIGNotes PROgramming No.12, 1996

Submission history

From: Satoshi Matsuoka [view email]
[v1] Thu, 14 Oct 2004 05:28:06 UTC (31 KB)
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