Download or read book Constructive Foundations for Functional Languages written by Raymond Turner and published by . This book was released on 1991 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Practical Foundations for Programming Languages written by Robert Harper and published by Cambridge University Press. This book was released on 2016-04-04 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book unifies a broad range of programming language concepts under the framework of type systems and structural operational semantics.
Download or read book Domain theoretic Foundations Of Functional Programming written by Thomas Streicher and published by World Scientific Publishing Company. This book was released on 2006-12-04 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a basis for a PhD course on domain-theoretic semantics of functional programming languages and their meta-mathematical properties. It introduces basic domain theory and the technique of logical relations as developed by Scott and Plotkin. The solution of recursive domain equations is explained in detail.A complete discussion of the famous full abstraction problem for PCF (a functional Kernel language due to Scott and Plotkin) is given including a construction of the fully abstract Milner model using Kripke logical relations.A final chapter introduces computability in Scott domains and shows that this model is fully abstract and universal for appropriate extensions of PCF by parallel language constructs.
Download or read book Truth Proof and Infinity written by P. Fletcher and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction' and `proof' has never been adequately explained (although Kriesel, Goodman and Martin-Löf have attempted axiomatisations). This monograph develops precise (though not wholly formal) definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Interpretations of Heyting arithmetic and constructive analysis are given. The philosophical basis of constructivism is explored thoroughly in Part I. The author seeks to answer objections from platonists and to reconcile his position with the central insights of Hilbert's formalism and logic. Audience: Philosophers of mathematics and logicians, both academic and graduate students, particularly those interested in Brouwer and Hilbert; theoretical computer scientists interested in the foundations of functional programming languages and program correctness calculi.
Download or read book Lectures on Constructive Functional Programming written by Richard Bird and published by . This book was released on 1988 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Logic and Functional Programming written by Mauro Boscarol and published by Springer Science & Business Media. This book was released on 1988-04-27 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of some of the papers that were delivered during the workshop on "Foundations of Logic and Functional Programming" held in Trento, Italy, from December 15th to 19th, 1986. The meeting centered on themes and trends in Functional Programming and in Logic Programming. This book contains five papers contributed by the invited speakers and five selected contributions.
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 338 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.
Download or read book Type Theory and Functional Programming written by Simon Thompson and published by Addison Wesley Publishing Company. This book was released on 1991 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.
Download or read book Constructive Type Theory and Functional Programming written by Simon Thompson and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Optimal Implementation of Functional Programming Languages written by Andrea Asperti and published by Cambridge University Press. This book was released on 1998-12-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: First account of the subject by two of its leading exponents. Essentially self-contained.
Download or read book Automated Deduction A Basis for Applications Volume I Foundations Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications written by Wolfgang Bibel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us. Interaction typi cally is needed, for example, to direct and control the reasoning, to speculate or generalize strategic lemmas, and sometimes simply because the conjec ture to be proved does not hold. In software verification, for example, correct versions of specifications and programs typically are obtained only after a number of failed proof attempts and subsequent error corrections. Different interactive theorem provers may actually look quite different: They may support different logics (first-or higher-order, logics of programs, type theory etc.), may be generic or special-purpose tools, or may be tar geted to different applications. Nevertheless, they share common concepts and paradigms (e.g. architectural design, tactics, tactical reasoning etc.). The aim of this chapter is to describe the common concepts, design principles, and basic requirements of interactive theorem provers, and to explore the band width of variations. Having a 'person in the loop', strongly influences the design of the proof tool: proofs must remain comprehensible, - proof rules must be high-level and human-oriented, - persistent proof presentation and visualization becomes very important.
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lambda Calculi: A Guide Interpolation and Definability Discourse Representation Theory
Download or read book Foundations of Probabilistic Programming written by Gilles Barthe and published by Cambridge University Press. This book was released on 2020-12-03 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the theoretical underpinnings of modern probabilistic programming and presents applications in e.g., machine learning, security, and approximate computing. Comprehensive survey chapters make the material accessible to graduate students and non-experts. This title is also available as Open Access on Cambridge Core.
Download or read book Types and Programming Languages written by Benjamin C. Pierce and published by MIT Press. This book was released on 2002-01-04 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.
Download or read book Logical Foundations of Functional Programming written by Gérard Huet and published by Addison Wesley Publishing Company. This book was released on 1990 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Structure of Typed Programming Languages written by David A. Schmidt and published by MIT Press. This book was released on 1994 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is unique in its tutorial presentation of higher-order lambda calculus and intuitionistic type theory.
Download or read book Principles of Functional Programming written by Hugh Glaser and published by Prentice Hall. This book was released on 1984 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
