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The Parametric Lambda Calculus

The Parametric Lambda Calculus
Author: Simona Ronchi Della Rocca
Publisher: Springer Science & Business Media
Total Pages: 254
Release: 2013-03-09
Genre: Mathematics
ISBN: 366210394X

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The book contains a completely new presentation of classical results in the field of Lambda Calculus, together with new results. The text is unique in that it presents a new calculus (Parametric Lambda Calculus) which can be instantiated to obtain already known lambda-calculi. Some properties, which in the literature have been proved separately for different calculi, can be proved once for the Parametric one. The lambda calculi are presented from a Computer Science point of view, with a particular emphasis on their semantics, both operational and denotational.


The Lambda Calculus

The Lambda Calculus
Author: Hendrik Pieter Barendregt
Publisher: North Holland
Total Pages: 640
Release: 1981
Genre: Mathematics
ISBN:

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The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.


Lambda Calculus with Types

Lambda Calculus with Types
Author: Henk Barendregt
Publisher: Cambridge University Press
Total Pages: 969
Release: 2013-06-20
Genre: Mathematics
ISBN: 1107276349

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This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.


An Introduction to Functional Programming Through Lambda Calculus

An Introduction to Functional Programming Through Lambda Calculus
Author: Greg Michaelson
Publisher: Courier Corporation
Total Pages: 336
Release: 2013-04-10
Genre: Mathematics
ISBN: 0486280292

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Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.


Typed Lambda Calculi and Applications

Typed Lambda Calculi and Applications
Author: Pierre-Louis Curien
Publisher: Springer Science & Business Media
Total Pages: 427
Release: 2009-06-08
Genre: Computers
ISBN: 3642022723

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This book constitutes the refereed proceedings of the 9th International Conference on Typed Lambda Calculi and Applications, TLCA 2009, held in Brasilia, Brazil in July 2008 in conjunction with RTA 2007, the 19th International Conference on Rewriting Techniques and Applications as part of RDP 2009, the 5th International Conference on Rewriting, Deduction, and Programming. The 27 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 53 submissions. The papers present original research results that are broadly relevant to the theory and applications of typed calculi and address a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.


The Lambda Calculus

The Lambda Calculus
Author: H.P. Barendregt
Publisher: North Holland
Total Pages: 648
Release: 1984
Genre: Mathematics
ISBN:

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The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.


˜Theœ lambda calculus

˜Theœ lambda calculus
Author: Hendrik P. Barendregt
Publisher:
Total Pages: 39
Release: 1975
Genre:
ISBN:

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Lambda-Calculus and Combinators

Lambda-Calculus and Combinators
Author: J. Roger Hindley
Publisher:
Total Pages: 359
Release: 2008
Genre: Combinatory logic
ISBN: 9780511414909

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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.


Lambda Calculi

Lambda Calculi
Author: Chris Hankin
Publisher:
Total Pages: 184
Release: 1994
Genre: Computers
ISBN:

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This is a textbook for final year undergraduates/first year graduates in computer science, as well as a useful introduction for research students seeking a solid introduction to more specialist literature. This text emphasises the role of calculus in programming language design and implementation, denotational semantics, and domain theory. Alternative books on the subject have been written by logicians, but this is the first to have been written from a computer science prespective, invaluable in emphasising the practical relevance of the key theortical ideas.