Volume 35 2011

Advanced Łukasiewicz calculus and MV-algebras

Authors:

ISBN: 978-94-007-0839-6 (Print) 978-94-007-0840-2 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages i-xviii

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    Book Chapter

    Pages 1-10

    Prologue: de Finetti Coherence Criterion and Łukasiewicz Logic

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    Book Chapter

    Pages 11-25

    Rational Polyhedra, Interpolation, Amalgamation

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    Book Chapter

    Pages 27-39

    The Galois Connection (Mod, Th) in Ł $\infty$

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    Pages 41-53

    The Spectral and the Maximal Spectral Space

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    Pages 55-68

    De Concini–Procesi Theorem and Schauder Bases

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    Pages 69-79

    Bases and Finitely Presented MV-Algebras

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    Pages 81-88

    The Free Product of MV-Algebras

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    Pages 89-100

    Direct Limits, Confluence and Multisets

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    Pages 101-118

    Tensors

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    Pages 119-130

    States and the Kroupa–Panti Theorem

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    Book Chapter

    Pages 131-140

    The MV-Algebraic Loomis–Sikorski Theorem

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    Book Chapter

    Pages 141-148

    The MV-Algebraic Stone–von Neumann Theorem

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    Pages 149-158

    Recurrence, Probability, Measure

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    Pages 159-166

    Measuring Polyhedra and Averaging Truth-Values

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    Pages 167-178

    A Rényi Conditional in Łukasiewicz Logic

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    Book Chapter

    Pages 179-186

    The Lebesgue State and the Completion of ${\mathsf {FREE}}_n$

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    Book Chapter

    Pages 187-196

    Finitely Generated Projective MV-Algebras

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    Pages 197-213

    Effective Procedures for $\hbox{\L}_{\infty}$ and MV-Algebras

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    Book Chapter

    Pages 215-225

    A First-Order Łukasiewicz Logic with [0, 1]-Identity

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    Book Chapter

    Pages 227-238

    Applications, Further Reading, Selected Problems

  22. Back Matter

    Pages 251-256

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