The Combinatory Programme
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The Combinatory Programme
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Author : Erwin Engeler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Combinatory Programme written by Erwin Engeler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Combinatory logic started as a programme in the foundation of mathematics and in an historical context at a time when such endeavours attracted the most gifted among the mathematicians. This small volume arose under quite differ ent circumstances, namely within the context of reworking the mathematical foundations of computer science. I have been very lucky in finding gifted students who agreed to work with me and chose, for their Ph. D. theses, subjects that arose from my own attempts 1 to create a coherent mathematical view of these foundations. The result of this collaborative work is presented here in the hope that it does justice to the individual contributor and that the reader has a chance of judging the work as a whole. E. Engeler ETH Zurich, April 1994 lCollected in Chapter III, An Algebraization of Algorithmics, in Algorithmic Properties of Structures, Selected Papers of Erwin Engeler, World Scientific PubJ. Co. , Singapore, 1993, pp. 183-257. I Historical and Philosophical Background Erwin Engeler In the fall of 1928 a young American turned up at the Mathematical Institute of Gottingen, a mecca of mathematicians at the time; he was a young man with a dream and his name was H. B. Curry. He felt that he had the tools in hand with which to solve the problem of foundations of mathematics mice and for all. His was an approach that came to be called "formalist" and embodied that later became known as Combinatory Logic.
The Combinatory Programme
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Author : Erwin Engeler
language : en
Publisher: Birkhäuser
Release Date : 2011-12-09
The Combinatory Programme written by Erwin Engeler and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-09 with Computers categories.
Combinatory logic started as a programme in the foundation of mathematics and in an historical context at a time when such endeavours attracted the most gifted among the mathematicians. This small volume arose under quite differ ent circumstances, namely within the context of reworking the mathematical foundations of computer science. I have been very lucky in finding gifted students who agreed to work with me and chose, for their Ph. D. theses, subjects that arose from my own attempts 1 to create a coherent mathematical view of these foundations. The result of this collaborative work is presented here in the hope that it does justice to the individual contributor and that the reader has a chance of judging the work as a whole. E. Engeler ETH Zurich, April 1994 lCollected in Chapter III, An Algebraization of Algorithmics, in Algorithmic Properties of Structures, Selected Papers of Erwin Engeler, World Scientific PubJ. Co. , Singapore, 1993, pp. 183-257. I Historical and Philosophical Background Erwin Engeler In the fall of 1928 a young American turned up at the Mathematical Institute of Gottingen, a mecca of mathematicians at the time; he was a young man with a dream and his name was H. B. Curry. He felt that he had the tools in hand with which to solve the problem of foundations of mathematics mice and for all. His was an approach that came to be called "formalist" and embodied that later became known as Combinatory Logic.
Introduction To Combinatory Logic
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Author : J. Roger Hindley
language : en
Publisher: CUP Archive
Release Date : 1972-06
Introduction To Combinatory Logic written by J. Roger Hindley and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-06 with Mathematics categories.
These notes present some of the basic techniques and results in the subject of combinatory logic. This subject will first be treated with an introduction via lambda-conversion. Chapter two is an introduction to combinators. Chapters three and four will deal with recursive functions. Chapters five, six, and seven deal with extensional theory of combinators. Chapters nine and ten deal with combinator-based systems of logic . Chapters eight and eleven deal with proof-theoretic application.
Linear And Combinatorial Programming
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Author : Katta G. Murty
language : en
Publisher:
Release Date : 1985
Linear And Combinatorial Programming written by Katta G. Murty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Combinatorial Data Analysis
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Author : Lawrence Hubert
language : en
Publisher: SIAM
Release Date : 2001-01-01
Combinatorial Data Analysis written by Lawrence Hubert and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Science categories.
Combinatorial data analysis (CDA) refers to a wide class of methods for the study of relevant data sets in which the arrangement of a collection of objects is absolutely central. The focus of this monograph is on the identification of arrangements, which are then further restricted to where the combinatorial search is carried out by a recursive optimization process based on the general principles of dynamic programming (DP).
Combinatory Logic In Programming
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Author : Viacheslav E. Wolfengagen
language : en
Publisher: ООО «ЮрИнфоР-Пресс»
Release Date : 2003
Combinatory Logic In Programming written by Viacheslav E. Wolfengagen and has been published by ООО «ЮрИнфоР-Пресс» this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Combinatory logic categories.
An Introduction To Algebraic And Combinatorial Coding Theory
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Author : Ian F. Blake
language : en
Publisher: Academic Press
Release Date : 2014-05-10
An Introduction To Algebraic And Combinatorial Coding Theory written by Ian F. Blake and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.
Lambda Calculus And Combinators
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Author : J. Roger Hindley
language : en
Publisher:
Release Date : 2008
Lambda Calculus And Combinators written by J. Roger Hindley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Combinatory logic categories.
Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this version is thoroughly revised and offers an account of the subject with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are c.
Introduction To Combinators And Lambda Calculus
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Author : J. Roger Hindley
language : en
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press
Release Date : 1986
Introduction To Combinators And Lambda Calculus written by J. Roger Hindley and has been published by Cambridge [Cambridgeshire] ; New York : Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Combinatory logic and lambda-conversion were originally devised in the 1920s for investigating the foundations of mathematics using the basic concept of 'operation' instead of 'set'. They have now developed into linguistic tools, useful in several branches of logic and computer science, especially in the study of programming languages. These notes form a simple introduction to the two topics, suitable for a reader who has no previous knowledge of combinatory logic, but has taken an undergraduate course in predicate calculus and recursive functions. The key ideas and basic results are presented, as well as a number of more specialised topics, and man), exercises are included to provide manipulative practice.
Categorical Combinators Sequential Algorithms And Functional Programming
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Author : Pierre-Louis Curien
language : en
Publisher: Pitman Publishing
Release Date : 1986
Categorical Combinators Sequential Algorithms And Functional Programming written by Pierre-Louis Curien and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.