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Foreword Anatolij Dvurecenskij v
Editorial Preface Kurt Engesser Dov Gabbay Daniel Lehmann vii
List of Authors xi
New Quantum Structures Anatolij Dvurecenskij 1
Quantum Structures and Fuzzy Set Theory Jaroslaw Pykacz 55
Algebraic and Measure-theoretic Properties of Classes of Subspaces of an Inner Product Space David Buhagiar Emmanuel Chetcuti Anatolij Dvurecenskij 75
Quantum Probability Stan Gudder 121
Quantum Logics as Underlying Structures of Generalized Probability Theory Pavel Ptak Sylvia Pulmannova 147
Quantum Logic and Partially Ordered Abelian Groups David J. Foulis Richard J. Greechie 215
Quantum Structures and Operator Algebras Jan Hamhalter 285
Constructions of Quantum Structures Mirko Navara 335
D-Posets Ferdinand Chovanec Frantisek Kopka 367
Wigner's Theorem and its Generalizations Georges Chevalier 429
Propositional Systems, Hilbert Lattices and Generalized Hilbert Spaces Isar Stubbe Bart Van Steirteghem 477
Equations and Hilbert Lattices Rene Mayet 525
The Source of the Orthomodular Law John Harding 555
Starting from the Convex Set of States Enrico Beltrametti 587
Quantum Logic and Automata Theory Mingsheng Ying 619
Quantum Logic and Quantum Computation Mladen Pavicic Norman D. Megill 755
Index 793
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