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The dynamic turn in quantum logic
Authors:Alexandru Baltag  Sonja Smets
Institution:1. Institute for Logic, Language and Computation, University of Amsterdam, Amsterdam, The Netherlands
2. Department of Philosophy, University of Groningen, Oude Boteringestraat 52, Groningen, The Netherlands
3. Department of Artifical Intelligence, University of Groningen, Oude Boteringestraat 52, Groningen, The Netherlands
Abstract: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?C848, 1969), Piron (Foundations of Quantum Physics, 1976). 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.
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