UID:
almahu_9949473986002882
Format:
1 online resource (542 p.) :
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Zahlr. Abb.
ISBN:
9783110324921
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9783110238570
Series Statement:
Ontos Mathematical Logic , 3
Content:
Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.
Note:
Frontmatter --
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Preface --
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Contents --
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Contributors --
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A New Use of Friedman's Translation: Interactive Realizability --
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Polymorphic Logic --
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Constructive Solutions of Ordinary Differential Equations --
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A Nonstandard Hierarchy Comparison Theorem for the Slow and Fast Growing Hierarchy --
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Conservativity of transitive closure over weak constructive operational set theory --
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Formal Baire Space in Constructive Set Theory --
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Functional Interpretations of Classical and Constructive Set Theory --
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Weak Theories of Truth and Explicit Mathematics --
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Axiomatizing Truth: Why and How? --
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On the Strength of some Semi-Constructive Theories --
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On the Relation Between Various Negative Translations --
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A Finite Axiomatisation of Inductive-Inductive Definitions --
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Some Conservative Extension Results on Classical and Intuitionistic Sequent Calculi --
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About the Strength of Operational Regularity --
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Non-Deterministic Epsilon Substitution for ID1: Effective Proof --
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Another Unique Weak König's Lemma WKL!! --
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The Continuous Functionals as Limit Spaces --
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Provably Recursive Functions of Reflection --
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A Hierarchy of Ramified Theories Below PRA --
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Representing L-Domains as Information Systems
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Issued also in print.
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Mode of access: Internet via World Wide Web.
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In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Philosophy 2000-2014 (EN), De Gruyter, 9783110238488
In:
DGBA Philosophy 2000 - 2014, De Gruyter, 9783110636949
In:
eBook Package De Gruyter Ontos 2002-2012, De Gruyter, 9783110331226
In:
eBook Paket De Gruyter Ontos 2002-2012, De Gruyter, 9783110331219
Additional Edition:
ISBN 9783110324532
Language:
English
DOI:
10.1515/9783110324921
URL:
https://doi.org/10.1515/9783110324921
URL:
https://www.degruyter.com/isbn/9783110324921
URL:
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