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Toward a formal language for unsharp properties
Authors:Roberto Giuntini  Heinz Greuling
Affiliation:(1) Institut für theoretische Physik, Universität zu Köln, Zülpicherstrasse 77, D-5000 Köln 41, Federal Republic of Germany;(2) Present address: Dipartimento di Filosofia, Università di Firenze, via Bolognese 52, I-50139 Firenze, Italy
Abstract:Some algebraic structures of the set of all effects are investigated and summarized in the notion of a(weak) orthoalgebra. It is shown that these structures can be embedded in a natural way in lattices, via the so-calledMacNeille completion. These structures serve as a model ofparaconsistent quantum logic, orthologic, andorthomodular quantum logic.
Keywords:
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