The dynamic turn in quantum logic.

In this paper we show how ideas coming from two areas of research in logic can reinforce each other. The first such line of inquiry concerns the 'dynamic turn' in logic and especially the formalisms inspired by Propositional Dynamic Logic (PDL); while the second line concerns research into the logic...

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Published in:Synthese Vol. 186; no. 3; pp. 753 - 774
Main Authors: Baltag, Alexandru, Smets, Sonja
Format: Article
Published: Springer Nature May2012
Subjects:
Online Access:View this record in EBSCOhost
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          Baltag, Alexandru
          Smets, Sonja
        affil: Institute for Logic, Language and Computation, University of Amsterdam, Amsterdam The Netherlands
      su:
        Logic
        Formalism (Literary analysis)
        Physics
        Quantum logic
        Mathematical logic
      sug:
        subj:
          Logic
          Formalism (Literary analysis)
          Physics
          Quantum logic
          Mathematical logic
      keyword:
        Dynamic quantum logic
        Logical dynamics
        Logical foundations of physics
        Operational quantum logic
        Quantum information
      ab: In this paper we show how ideas coming from two areas of research in logic can reinforce each other. The first such line of inquiry concerns the 'dynamic turn' in logic and especially the formalisms inspired by Propositional Dynamic Logic (PDL); while the second line concerns research into the logical foundations of Quantum Physics, and in particular the area known as Operational Quantum Logic, as developed by Jauch and Piron (Helve Phys Acta 42:842-848, ), Piron (Foundations of Quantum Physics, ). By bringing these areas together we explain the basic ingredients of Dynamic Quantum Logic, a new direction of research in the logical foundations of physics.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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