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Decidability in Orthomodular Lattices
Authors:Marek?Hy?ko,Mirko?Navara  author-information"  >  author-information__contact u-icon-before"  >  mailto:navara@cmp.felk.cvut.cz"   title="  navara@cmp.felk.cvut.cz"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, Bratislava, Slovakia;(2) Center for Machine Perception, Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University, Technická 2, Prague 6, Czech Republic, CZ-166 27
Abstract:We discuss the possibility of automatic simplification of formulas in orthomodular lattices. We describe the principles of a program which decides the validity of equalities and inequalities, as well as implications between them and other important relations significant in quantum mechanics. PACS: 02.10.-v, 02.10.Ab, 02.10.De, 03.65.Fd. AMS Subject classification: 06C15, 03G12, 06B10, 06B25, 81P10.
Keywords:orthomodular lattice  free lattice  ideal  congruence  implication  equivalence
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