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Toward a formal language for unsharp properties

  • Part I. Invited Papers Dedicated To Peter Mittelstaedt
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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.

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Giuntini, R., Greuling, H. Toward a formal language for unsharp properties. Found Phys 19, 931–945 (1989). https://doi.org/10.1007/BF01889307

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