Logic, construction, computation

Logic, construction, computation

by Berger, Ulrich

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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.…

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Title Statements

  • Full title :Logic, construction, computation / Ulrich Berger [and others] (eds.).

Summary

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 t.

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Edition Statements

  • Publication Date:2012.

Publication Statements

  • Publisher(s):Ontos
  • Place of Publication:Heusenstamm [Germany]
  • Language:eng
  • Publication Date:2012.

Notes

" ... the logician and mathematican Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday"--Page 4 of cover.

The Physical Object

  • Description:1 online resource (540 pages) : : illustrations, portrait

Edition Identifiers

  • ISBN:9783110324921, 311032492X, 3868381589, 9783868381580, 3110324539, 9783110324532
  • oclc:ocn854569270
  • LC Classification:BC71
  • Dewey Decimal:511.3

Table of Contents

A new use of Friedman's translation : interactive realizability / Federico Aschieri and Stefano Berardi -- Polymorphic logic / Mark Bickford and Robert Constable -- Constructive solutions of ordinary differential equations / Douglas S. Bridges -- A nonstandard hierarchy comparison theorem / Wilfried Buchholz and Andreas Weiermann -- Transitive closure in operational set theory / Andrea Cantini and Laura Crosilla -- Baire space in CZF / Giovanni Curi and Michael Rathjen -- Functional interpretations of classical and constructive set theory / Justus Diller -- Weak theories of truth and explicit mathematics / Sebastian Eberhard and Thomas Strahm -- Axiomatizing truth : why and how? / Solomon Feferman -- On the strength of some semi-constructive theories / Solomon Feferman -- On the relation between various negative translations / Gilda Ferreira and Paulo Oliva -- A finite axiomatisation of inductive-inductive definitions / Fredrik Nordvall Forsberg and Anton Setzer -- Some conservative extension results / Hajime Ishihara -- About the strength of operational regularity / Gerhard Jäger and Rico Zumbrunnen -- Epsilon substitution for ID₁ / Grigori Mints -- Another unique weak König's Le…

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Subjects

computational neuroscience Logic MATHEMATICS -- Infinity MATHEMATICS -- Logic Neurosciences informatiques

Writers

Berger, Ulrich

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