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Lambda Calculus Types And Models
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Book Synopsis Lambda-calculus, Types and Models by : Jean Louis Krivine
Download or read book Lambda-calculus, Types and Models written by Jean Louis Krivine and published by Prentice Hall. This book was released on 1993 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lambda-calculus, Types and Models by : Jean Louis Krivine
Download or read book Lambda-calculus, Types and Models written by Jean Louis Krivine and published by Prentice Hall. This book was released on 1993 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lambda Calculus with Types by : Henk Barendregt
Download or read book Lambda Calculus with Types written by Henk Barendregt and published by Cambridge University Press. This book was released on 2013-06-20 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lambda-Calculus and Combinators by : J. Roger Hindley
Download or read book Lambda-Calculus and Combinators written by J. Roger Hindley and published by . This book was released on 2008 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Domains and Lambda-Calculi by : Roberto M. Amadio
Download or read book Domains and Lambda-Calculi written by Roberto M. Amadio and published by Cambridge University Press. This book was released on 1998-07-02 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
Book Synopsis Lecture Notes on the Lambda Calculus by : Peter Selinger
Download or read book Lecture Notes on the Lambda Calculus written by Peter Selinger and published by . This book was released on 2018-10-04 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :Simona Ronchi Della Rocca Publisher :Springer Science & Business Media ISBN 13 :366210394X Total Pages :254 pages Book Rating :4.6/5 (621 download)
Book Synopsis The Parametric Lambda Calculus by : Simona Ronchi Della Rocca
Download or read book The Parametric Lambda Calculus written by Simona Ronchi Della Rocca and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Functional Programming Through Lambda Calculus by : Greg Michaelson
Download or read book An Introduction to Functional Programming Through Lambda Calculus written by Greg Michaelson and published by Courier Corporation. This book was released on 2013-04-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Typed Lambda Calculi and Applications by : Marc Bezem
Download or read book Typed Lambda Calculi and Applications written by Marc Bezem and published by Springer Science & Business Media. This book was released on 1993-03-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lambda calculus was developed in the 1930s by Alonzo Church. The calculus turned out to be an interesting model of computation and became theprototype for untyped functional programming languages. Operational and denotational semantics for the calculus served as examples for otherprogramming languages. In typed lambda calculi, lambda terms are classified according to their applicative behavior. In the 1960s it was discovered that the types of typed lambda calculi are in fact appearances of logical propositions. Thus there are two possible views of typed lambda calculi: - as models of computation, where terms are viewed as programs in a typed programming language; - as logical theories, where the types are viewed as propositions and the terms as proofs. The practical spin-off from these studies are: - functional programming languages which are mathematically more succinct than imperative programs; - systems for automated proof checking based on lambda caluli. This volume is the proceedings of TLCA '93, the first international conference on Typed Lambda Calculi and Applications,organized by the Department of Philosophy of Utrecht University. It includes29 papers selected from 51 submissions.
Book Synopsis Lambda Calculus with Types by : Hendrik Pieter Barendregt
Download or read book Lambda Calculus with Types written by Hendrik Pieter Barendregt and published by Cambridge University Press. This book was released on 2013-06-20 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.
Book Synopsis From Lambda Calculus to Cybersecurity Through Program Analysis by : Alessandra Di Pierro
Download or read book From Lambda Calculus to Cybersecurity Through Program Analysis written by Alessandra Di Pierro and published by Springer Nature. This book was released on 2020-02-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Models of the Lambda Calculus by : C. P. J. Koymans
Download or read book Models of the Lambda Calculus written by C. P. J. Koymans and published by . This book was released on 1984 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Semantics Engineering with PLT Redex by : Matthias Felleisen
Download or read book Semantics Engineering with PLT Redex written by Matthias Felleisen and published by MIT Press. This book was released on 2009-07-10 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive presentation of reduction semantics in one volume, and the first tool set for such forms of semantics. This text is the first comprehensive presentation of reduction semantics in one volume; it also introduces the first reliable and easy-to-use tool set for such forms of semantics. Software engineers have long known that automatic tool support is critical for rapid prototyping and modeling, and this book is addressed to the working semantics engineer (graduate student or professional language designer). The book comes with a prototyping tool suite to develop, explore, test, debug, and publish semantic models of programming languages. With PLT Redex, semanticists can formulate models as grammars and reduction models on their computers with the ease of paper and pencil. The text first presents a framework for the formulation of language models, focusing on equational calculi and abstract machines, then introduces PLT Redex, a suite of software tools for expressing these models as PLT Redex models. Finally, experts describe a range of models formulated in Redex. PLT Redex comes with the PLT Scheme implementation, available free at http://www.plt-scheme.org/. Readers can download the software and experiment with Redex as they work their way through the book.
Book Synopsis Lambda-Calculus and Combinators by : J. Roger Hindley
Download or read book Lambda-Calculus and Combinators written by J. Roger Hindley and published by Cambridge University Press. This book was released on 2008-07-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.
Book Synopsis Lectures on the Curry-Howard Isomorphism by : Morten Heine Sørensen
Download or read book Lectures on the Curry-Howard Isomorphism written by Morten Heine Sørensen and published by Elsevier. This book was released on 2006-07-04 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance,minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic types, sequent calculus is related to explicit substitution, etc.The isomorphism has many aspects, even at the syntactic level:formulas correspond to types, proofs correspond to terms, provability corresponds to inhabitation, proof normalization corresponds to term reduction, etc.But there is more to the isomorphism than this. For instance, it is an old idea---due to Brouwer, Kolmogorov, and Heyting---that a constructive proof of an implication is a procedure that transformsproofs of the antecedent into proofs of the succedent; the Curry-Howard isomorphism gives syntactic representations of such procedures. The Curry-Howard isomorphism also provides theoretical foundations for many modern proof-assistant systems (e.g. Coq).This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic. Key features- The Curry-Howard Isomorphism treated as common theme- Reader-friendly introduction to two complementary subjects: Lambda-calculus and constructive logics- Thorough study of the connection between calculi and logics- Elaborate study of classical logics and control operators- Account of dialogue games for classical and intuitionistic logic- Theoretical foundations of computer-assisted reasoning · The Curry-Howard Isomorphism treated as the common theme.· Reader-friendly introduction to two complementary subjects: lambda-calculus and constructive logics · Thorough study of the connection between calculi and logics.· Elaborate study of classical logics and control operators.· Account of dialogue games for classical and intuitionistic logic.· Theoretical foundations of computer-assisted reasoning
Book Synopsis Mathematics for Machine Learning by : Marc Peter Deisenroth
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Book Synopsis Semantic Techniques in Quantum Computation by : Simon Gay
Download or read book Semantic Techniques in Quantum Computation written by Simon Gay and published by Cambridge University Press. This book was released on 2010 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.
