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Combinators, -Terms and Proof Theory S. Stenlund Buch Synthese Library HC runder Rücken kaschiert Englisch 1972 - Stenlund, S.
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Stenlund, S.:

Combinators, -Terms and Proof Theory S. Stenlund Buch Synthese Library HC runder Rücken kaschiert Englisch 1972 - hardcover

1972, ISBN: 9789027703057

[ED: Gebunden], [PU: Springer Netherland], The aim of this monograph is to present some of the basic ideas and results in pure combinatory logic and their applications to some topics in p… More...

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Combinators, -Terms and Proof Theory S. Stenlund Buch Synthese Library HC runder Rücken kaschiert Englisch 1972 - Stenlund, S.
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Stenlund, S.:

Combinators, -Terms and Proof Theory S. Stenlund Buch Synthese Library HC runder Rücken kaschiert Englisch 1972 - hardcover

1972, ISBN: 9789027703057

[ED: Gebunden], [PU: Springer Netherland], The aim of this monograph is to present some of the basic ideas and results in pure combinatory logic and their applications to some topics in p… More...

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Combinators, -Terms and Proof Theory S. Stenlund Buch HC runder Rücken kaschiert Englisch 1972 - Stenlund, S.
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Stenlund, S.:
Combinators, -Terms and Proof Theory S. Stenlund Buch HC runder Rücken kaschiert Englisch 1972 - hardcover

1972

ISBN: 9789027703057

[ED: Gebunden], [PU: Springer Netherland], The aim of this monograph is to present some of the basic ideas and results in pure combinatory logic and their applications to some topics in p… More...

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Combinators, ¿-Terms and Proof Theory - Stenlund, S.
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Stenlund, S.:
Combinators, ¿-Terms and Proof Theory - hardcover

1972, ISBN: 9027703051

1972 Gebundene Ausgabe Logik, Philosophie / Logik, interpret; logic; Model; reduction; sound; subject; Truth, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]

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Combinators, -Terms and Proof Theory - S. Stenlund
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S. Stenlund:
Combinators, -Terms and Proof Theory - hardcover

1972, ISBN: 9789027703057

Buch, Hardcover, 1972 ed. [PU: Kluwer Academic Publishers], Kluwer Academic Publishers, 1972

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Details of the book
Combinators, -Terms and Proof Theory
Author:
Title:
ISBN:

9027703051


The aim of this monograph is to present some of the basic ideas and results in pure combinatory logic and their applications to some topics in proof theory, and also to present some work of my own. Some of the material in chapter 1 and 3 has already appeared in my notes Introduction to Combinatory Logic. It appears here in revised form since the presen- tation in my notes is inaccurate in several respects. I would like to express my gratitude to Stig Kanger for his invalu- able advice and encouragement and also for his assistance in a wide variety of matters concerned with my study in Uppsala. I am also in- debted to Per Martin-USf for many valuable and instructive conversa- tions. As will be seen in chapter 4 and 5, I also owe much to the work of Dag Prawitz and W. W. Tait. My thanks also to Craig McKay who read the manuscript and made valuable suggestions. I want, however, to emphasize that the shortcomings that no doubt can be found, are my sole responsibility. Uppsala, February 1972.

Details of the book - Combinators, -Terms and Proof Theory


EAN (ISBN-13): 9789027703057
ISBN (ISBN-10): 9027703051
Hardcover
Publishing year: 1972
Publisher: Kluwer Academic Publishers
192 Pages
Weight: 0,456 kg
Language: eng/Englisch

Book in our database since 2007-11-14T18:22:28+00:00 (London)
Detail page last modified on 2022-06-07T07:02:11+01:00 (London)
ISBN/EAN: 9027703051

ISBN - alternate spelling:
90-277-0305-1, 978-90-277-0305-7
Alternate spelling and related search-keywords:
Book author: lambda, stenlund sören
Book title: combinators terms and proof theory, let over lambda, library terms

Information from Publisher

Author: S. Stenlund
Title: Synthese Library; Combinators, λ-Terms and Proof Theory
Publisher: Springer; Springer Netherland
177 Pages
Publishing year: 1972-09-30
Dordrecht; NL
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
X, 177 p.

BB; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Philosophie: Logik; Verstehen; interpret; logic; model; reduction; sound; subject; truth; Logic; BC

1. The Theory of Combinators and the ?-Calculus.- 1. Introduction.- 2. Informal theory of combinators.- 3. Equality and reduction.- 4. The ?-calculus.- 5. Equivalence of the ?-calculus and the theory of combinators.- 6. Set-theoretical interpretations of combinators.- 7. Illative combinatory logic and the paradoxes.- 2. The Church-Rosser Property.- 1. Introduction.- 2. R-reductions.- 3. One-step reduction.- 4. Proof of main result.- 5. Generalization.- 6. Generalized weak reduction.- 3. Combinatory Arithmetic.- 1. Introduction.- 2. Combinatory definability.- 3. Fixed-points and numeral sequences.- 4. Undecidability results.- 4. Computable Functionals of Finite Type.- 1. Introduction.- 2. Finite types and terms of finite types.- 3. The equation calculus.- 4. The role of the induction rule.- 5. Soundness of the axioms.- 6. Defining axioms and uniqueness rules.- 7. Reduction rules.- 8. Computability and normal form.- 9. Interpretation of types and terms.- 5. Proofs in the Theory of Species.- 1. Introduction.- 2. Formulas, terms and types.- 3. A-terms and deductions.- 4. The equation calculus.- 5. Reduction and normal form.- 6. The strong normalization theorem.- 7. Interpretation of types and terms.- Index of Names.- Index of Subjects.

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