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Some Properties of Orthologics
Studia Logica 80 (1):75-93 (2005)
Abstract
In this paper, we present three main results on orthologics. Firstly, we give a sufficient condition for an orthologic to have variable separation property and show that the orthomodular logic has this property. Secondly, we show that the class of modular orthologics has an infinite descending chain. Finally we show that there exists a continuum of orthologics.My notes
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Citations of this work
The Varieties Defined by P - compatible Identities of Modular Ortholattices.Krystyna Mruczek-Nasieniewska - 2010 - Studia Logica 95 (1-2):21 - 35.
The Varieties Defined by P-compatible Identities of Modular Ortholattices.Krystyna Mruczek-Nasieniewska - 2010 - Studia Logica 95 (1-2):21-35.
References found in this work
Semantic analysis of orthologic.R. I. Goldblatt - 1974 - Journal of Philosophical Logic 3 (1/2):19 - 35.
The deduction theorem for quantum logic—some negative results.Jacek Malinowski - 1990 - Journal of Symbolic Logic 55 (2):615-625.
The Super-amalgamation Property Of The Variety Of Ortholattices.Yutaka Miyazaki - 1999 - Reports on Mathematical Logic:45-63.
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