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Test Spaces and Orthoalgebras

  • Alexander Wilce
Chapter
Part of the Fundamental Theories of Physics book series (FTPH, volume 111)

Abstract

In a long series of papers published in the 1970s and early 1980s, D. J. Foulis and C. H. Randall developed a conceptually simple, but very compelling semantics for quantum logics and otherwise based on the notion of a manual or, in more recent usage, a test space. A test space is a collection A of non-empty sets, taken to represent the sets of outcomes associated with some collection of measurements, experiments or tests. Subject to a fairly mild constraint, one can construct from a test space A a “logic” II(A) having the structure of an orthoalgebra. All orthoalge-bras arise via this construction. This paper surveys gives an up-to-date survey of the theory of test spaces and orthoalgebras, including a discussion of recent work of the author on group actions on test spaces.

Keywords

Hilbert Space Complete Lattice Effect Algebra Quantum Logic Central Support 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Alexander Wilce
    • 1
  1. 1.Department of Mathematics and Computer ScienceJuniata CollegeHuntingdonUSA

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