TY  - BOOK
AU  - Aschieri,Federico
AU  - Berardi,Stefano
AU  - Berger,Ulrich
AU  - Bickford,Mark
AU  - Bridges,Douglas S.
AU  - Buchholz,Wilfried
AU  - Cantini,Andrea
AU  - Crosilla,Laura
AU  - Curi,Giovanni
AU  - Diener,Hannes
AU  - Diller,Justus
AU  - Eberhard,Sebastian
AU  - Feferman,Solomon
AU  - Ferreira,Gilda
AU  - Forsberg,Fredrik Nordvall
AU  - Ishihara,Hajime
AU  - Jäger,Gerhard
AU  - Mints,Grigori
AU  - Moschovakis,Joan Rand
AU  - Normann,Dag
AU  - Oliva,Paulo
AU  - Pohlers,Wolfram
AU  - Rathjen,Michael
AU  - Robert,Constable
AU  - Schuster,Peter
AU  - Seisenberger,Monika
AU  - Setzer,Anton
AU  - Spoors,Elliott J.
AU  - Spreen,Dieter
AU  - Stegert,Jan–Carl
AU  - Strahm,Thomas
AU  - Wainer,Stanley S.
AU  - Weiermann,Andreas
AU  - Zumbrunnen,Rico
TI  - Logic, Construction, Computation
T2  - Ontos Mathematical Logic ,
SN  - 9783110324532
AV  - BC71 .L64 2012eb
U1  - 511.3 23
PY  - 2013///]
CY  - Berlin, Boston : 
PB  - De Gruyter, 
KW  - Computational neuroscience
KW  - Logic
KW  - Logik
KW  - Mathematik
KW  - PHILOSOPHY / General
KW  - bisacsh
N1  - Frontmatter --; Preface --; Contents --; Contributors --; A New Use of Friedman’s Translation: Interactive Realizability --; Polymorphic Logic --; Constructive Solutions of Ordinary Differential Equations --; A Nonstandard Hierarchy Comparison Theorem for the Slow and Fast Growing Hierarchy --; Conservativity of transitive closure over weak constructive operational set theory --; Formal Baire Space in Constructive Set Theory --; Functional Interpretations of Classical and Constructive Set Theory --; Weak Theories of Truth and Explicit Mathematics --; Axiomatizing Truth: Why and How? --; On the Strength of some Semi-Constructive Theories --; On the Relation Between Various Negative Translations --; A Finite Axiomatisation of Inductive-Inductive Definitions --; Some Conservative Extension Results on Classical and Intuitionistic Sequent Calculi --; About the Strength of Operational Regularity --; Non-Deterministic Epsilon Substitution for ID1: Effective Proof --; Another Unique Weak König’s Lemma WKL!! --; The Continuous Functionals as Limit Spaces --; Provably Recursive Functions of Reflection --; A Hierarchy of Ramified Theories Below PRA --; Representing L-Domains as Information Systems; restricted access; Issued also in print
N2  - 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
UR  - https://doi.org/10.1515/9783110324921
UR  - https://www.degruyter.com/isbn/9783110324921
UR  - https://www.degruyter.com/document/cover/isbn/9783110324921/original
ER  -