Combinators, λ-Terms and Proof Theory

Combinators, λ-Terms and Proof Theory PDF Author: S. Stenlund
Publisher: Springer Science & Business Media
ISBN: 940102913X
Category : Philosophy
Languages : en
Pages : 186

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Book Description
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.

Combinators, λ-Terms and Proof Theory

Combinators, λ-Terms and Proof Theory PDF Author: S. Stenlund
Publisher: Springer Science & Business Media
ISBN: 940102913X
Category : Philosophy
Languages : en
Pages : 186

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Book Description
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.

Combinators, 2-terms and proof theory

Combinators, 2-terms and proof theory PDF Author: Sören Stenlund
Publisher:
ISBN:
Category :
Languages : nl
Pages : 184

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Book Description


Combinators, lambda-Terms and Proof Theory

Combinators, lambda-Terms and Proof Theory PDF Author: S. Stenlund
Publisher: Springer
ISBN: 9789027703057
Category : Philosophy
Languages : en
Pages : 192

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Book Description


COMBINATORS, LAMBDA-TERMS AND PROOF THEORY

COMBINATORS, LAMBDA-TERMS AND PROOF THEORY PDF Author: Soren Stenlund
Publisher:
ISBN:
Category :
Languages : it
Pages : 184

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Book Description


Combinators

Combinators PDF Author: Sören Stenlund
Publisher:
ISBN:
Category : Combinatory logic
Languages : en
Pages : 194

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Book Description


Lambda-Calculus and Combinators

Lambda-Calculus and Combinators PDF Author: J. Roger Hindley
Publisher: Cambridge University Press
ISBN: 9780521898850
Category : Computers
Languages : en
Pages : 358

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Book Description
Combinatory logic and lambda-calculus, originally devised in the 1920's, 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 long-awaited new version is thoroughly revised and offers a fully up-to-date 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 covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.

Proof Theory

Proof Theory PDF Author: Katalin Bimbo
Publisher: CRC Press
ISBN: 1466564687
Category : Mathematics
Languages : en
Pages : 386

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Book Description
Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi

Combinatorics on Words

Combinatorics on Words PDF Author: M. Lothaire
Publisher: Cambridge University Press
ISBN: 0521599245
Category : Mathematics
Languages : en
Pages : 260

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Book Description
Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and liguistics. This volume is the first to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics.

Applied Combinatorics on Words

Applied Combinatorics on Words PDF Author: M. Lothaire
Publisher: Cambridge University Press
ISBN: 9780521848022
Category : Computers
Languages : en
Pages : 646

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Developments in Language Theory

Developments in Language Theory PDF Author: Nelma Moreira
Publisher: Springer Nature
ISBN: 3030815080
Category : Computers
Languages : en
Pages : 394

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Book Description
This book constitutes the proceedings of the 25th International Conference on Developments in Language Theory, DLT 2021, which was held in Porto, Portugal, during August 16-20, 2021. The conference took place in an hybrid format with both in-person and online participation. The 27 full papers included in these proceedings were carefully reviewed and selected from 48 submissions. The DLT conference series provides a forum for presenting current developments in formal languages and automata. Its scope is very general and includes, among others, the following topics and areas: grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; algorithmic, combinatorial, and algebraic properties of words and languages; variable length codes; symbolic dynamics; cellular automata; polyominoes and multidimensional patterns; decidability questions; image manipulation and compression; efficient text algorithms; relationships to cryptography, concurrency, complexity theory, and logic; bio-inspired computing; quantum computing. The book also includes 3 invited talks in full paper length.