NDLI: Automated discovery of single axioms for ortholattices

Content Provider	Springer Nature Link
Author	McCune, W. Rose, M. A. Padmanabhan, R. Veroff, R.
Copyright Year	2004
Abstract	We present short single axioms for ortholattices, orthomodular lattices, and modular ortholattices, all in terms of the Sheffer stroke. The ortholattice axiom is the shortest possible. We also give multiequation bases in terms of the Sheffer stroke and in terms of join, meet, and complementation. Proofs are omitted but are available in an associated technical report and on the Web. We used computers extensively to find candidates, reject candidates, and search for proofs that candidates are single axioms.
Ending Page	549
Page Count	9
Starting Page	541
File Format	PDF
ISSN	00025240
e-ISSN	14208911
Journal	algebra universalis
Issue Number	4
Volume Number	52
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2004-01-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	ortholattice single identity Algebra Lattices and related structures Ortholattice basis
Content Type	Text
Resource Type	Article
Subject	Logic Algebra and Number Theory

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Automated discovery of single axioms for ortholattices