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Author: Jean Louis Krivine Publisher: Prentice Hall ISBN: Category : Mathematics Languages : en Pages : 200
Book Description
This introduction to lambda-calculus looks at aspects of the theory: combinatory logic, models, and type streams, showing how they interlink and underpin computer science.
Author: Jean Louis Krivine Publisher: Prentice Hall ISBN: Category : Mathematics Languages : en Pages : 200
Book Description
This introduction to lambda-calculus looks at aspects of the theory: combinatory logic, models, and type streams, showing how they interlink and underpin computer science.
Author: J. Roger Hindley Publisher: ISBN: 9780511414909 Category : Combinatory logic Languages : en Pages : 359
Book Description
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.
Author: Henk Barendregt Publisher: Cambridge University Press ISBN: 1107276349 Category : Mathematics Languages : en Pages : 969
Book Description
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.
Author: H.P. Barendregt Publisher: North Holland ISBN: Category : Mathematics Languages : en Pages : 648
Book Description
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.
Author: Peter Selinger Publisher: ISBN: 9780359158850 Category : Science Languages : en Pages : 108
Book Description
This is a set of lecture notes that developed out of courses on the lambda calculus that the author taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, polymorphism, type inference, denotational semantics, complete partial orders, and the language PCF.
Author: Greg Michaelson Publisher: Courier Corporation ISBN: 0486280292 Category : Mathematics Languages : en Pages : 336
Book Description
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.
Author: Simona Ronchi Della Rocca Publisher: Springer Science & Business Media ISBN: 366210394X Category : Mathematics Languages : en Pages : 254
Book Description
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.
Author: Alessandra Di Pierro Publisher: Springer Nature ISBN: 3030411036 Category : Mathematics Languages : en Pages : 300
Book Description
This Festschrift is in honor of Chris Hankin, Professor at the Imperial College in London, UK, on the Occasion of His 65th Birthday. Chris Hankin is a Fellow of the Institute for Security Science and Technology and a Professor of Computing Science. His research is in cyber security, data analytics and semantics-based program analysis. He leads multidisciplinary projects focused on developing advanced visual analytics and providing better decision support to defend against cyber attacks. This Festschrift is a collection of scientific contributions related to the topics that have marked the research career of Professor Chris Hankin. The contributions have been written to honour Chris' career and on the occasion of his retirement.
Author: Hendrik Pieter Barendregt Publisher: Cambridge University Press ISBN: 0521766141 Category : Mathematics Languages : en Pages : 856
Book Description
This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.
Author: Jean Louis Krivine
Author: Jean Louis Krivine
Author: J. Roger Hindley
Author: Henk Barendregt
Author: Roberto M. Amadio
Author: H.P. Barendregt
Author: Peter Selinger
Author: Greg Michaelson
Author: Simona Ronchi Della Rocca
Author: Alessandra Di Pierro
Author: Hendrik Pieter Barendregt