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 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computational Semantics with Functional Programming written by Jan van Eijck and published by Cambridge University Press. This book was released on 2010-09-23 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational semantics is the art and science of computing meaning in natural language. The meaning of a sentence is derived from the meanings of the individual words in it, and this process can be made so precise that it can be implemented on a computer. Designed for students of linguistics, computer science, logic and philosophy, this comprehensive text shows how to compute meaning using the functional programming language Haskell. It deals with both denotational meaning (where meaning comes from knowing the conditions of truth in situations), and operational meaning (where meaning is an instruction for performing cognitive action). Including a discussion of recent developments in logic, it will be invaluable to linguistics students wanting to apply logic to their studies, logic students wishing to learn how their subject can be applied to linguistics, and functional programmers interested in natural language processing as a new application area.
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.
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.
Download or read book Higher Order Operational Techniques in Semantics written by Andrew D. Gordon and published by Cambridge University Press. This book was released on 1998-01-22 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1998 collection of original articles by leading researchers in area of programming languages.
Download or read book Programming Languages and Systems written by G. Ramalingam and published by Springer. This book was released on 2008-11-27 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th Asian Symposium on Programming Languages and Systems, APLAS 2008, held in Bangalore, India, in December 2008. The 20 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 41 submissions. The symposium is devoted to all topics ranging from foundational to practical issues in programming languages and systems. The papers cover topics such as semantics, logics, foundational theory, type systems, language design, program analysis, optimization, transformation, software security, safety, verification, compiler systems, interpreters, abstract machines, domain-specific languages and systems, as well as programming tools and environments.
Download or read book Semantics of Programming Languages written by Carl A. Gunter and published by MIT Press. This book was released on 1992 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semantics of Programming Languages exposes the basic motivations and philosophy underlying the applications of semantic techniques in computer science. It introduces the mathematical theory of programming languages with an emphasis on higher-order functions and type systems. Designed as a text for upper-level and graduate-level students, the mathematically sophisticated approach will also prove useful to professionals who want an easily referenced description of fundamental results and calculi. Basic connections between computational behavior, denotational semantics, and the equational logic of functional programs are thoroughly and rigorously developed. Topics covered include models of types, operational semantics, category theory, domain theory, fixed point (denotational). semantics, full abstraction and other semantic correspondence criteria, types and evaluation, type checking and inference, parametric polymorphism, and subtyping. All topics are treated clearly and in depth, with complete proofs for the major results and numerous exercises.
Download or read book Greek Letter Lambda romanized Form I e Lambda calculus and Computer Science Theory written by Corrado Böhm and published by Springer. This book was released on 1975 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semantics of Programming Languages and Model Theory written by Manfred Droste and published by CRC Press. This book was released on 1993-09-10 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourteen papers presented at the conference on [title], held at the International Conference and Research Center for Computer Science, Schloss Dagstuhl, June 1991, as well as a few others submitted by colleagues unable to attend, reflect the interplay between algebra, logic, and semantics of programming languages. Among the topics are a formal specification of PARLOG, synthesis of nondeterministic asynchronous automata, observable modules and power domain constructions, the Smyth-completion of a quasi-uniform space, current trends in the semantics of data flow, and a theory of unary pairfunctions. Annotation copyright by Book News, Inc., Portland, OR
Download or read book Relational Database Systems written by Joachim W. Schmidt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a long period of research, development, test and trial, relational database management systems are at last being marketed in force. The feedback from early installations of these systems is overwhelmingly positive. The most frequent comment by users is that productivity has been increased by a significant factor (from 5 to 20 times what it was using previous approaches). Another comment is that, in many cases, end users can now handle their own problems by direct use of the system instead of using application programmers as mediators between them and the system. As the reputation of relational systems for ease of use and enhanced productivity has grown, there has been a strong temptation for vendors of other approaches to exploit the label "relational" somewhat indiscriminately. In some cases the label is being misapplied to a whole data system; in others it is being misapplied to an interface. It is therefore worth developing criteria which database management systems (DBMSs) should have in order to be called "relational". The Relational Task Group (RTG) of the American National Standards Institute (ANSI) undertook such an effort by developing a characterization of RDBMSs and analyzing fourteen DBMSs per this characterization. The result of this work is presented in this book. The conclusions of the RTG are in agreement with my view that a DBMS should not be called "relational" unless it satisfies at least the following conditions: 1. All information in the database is represented as values in tables.
Download or read book Mathematical Foundations of Computer Science 2003 written by Branislav Rovan and published by Springer Science & Business Media. This book was released on 2003-08-11 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th International Symposium on Mathematical Foundations of Computer Science, MFCS 2003, held in Bratislava, Slovakia in August 2003. The 55 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 137 submissions. All current aspects in theoretical computer science are addressed, ranging from discrete mathematics, combinatorial optimization, graph theory, networking, algorithms, and complexity to programming theory, formal methods, and mathematical logic.
Download or read book Advances in Proof Theoretic Semantics written by Thomas Piecha and published by Springer. This book was released on 2015-10-24 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.
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.
Download or read book Full Abstraction and Semantic Equivalence written by Ketan Mulmuley and published by MIT Press (MA). This book was released on 1987 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Full Abstraction and Semantic Equivalence" demonstrates an original theory that uses the same inclusive predicates to show semantic equivalence and to construct fully abstract, extensional submodels.Previous general techniques for proving semantic equivalence, through the construction of inclusive predicates, have foundered due to their complexity and the lack of any counter-examples. In this book, Mulmuley has been able to construct a counterexample through diagonalization; moreover, he has discovered a technique to prove semantic equivalences that has the advantage of being mechanizable. This system, called Inclusive Predicate Logic (IPL), can almost automatically prove the existence of most of the inclusive predicates which arise in practice.Mulmuley also demonstrates that one can construct a fully abstract algebraic model of typed lambda calculus which is a submodel of the classical model, if the classical model is based on complete lattices. Beyond this, the book shows that theory can extend to the case of a language that has reflexive (recursively defined) types-as do most of the "real" programming languages.Contents: Introduction to Domain Theory. The Problem of Inclusive Predicate Existence. Fully Abstract Submodels of Typed Lambda Calculi. Fully Abstract Submodels in the Presence of Reflexive Types. A Mechanizable Theory for Existence Proofs. IPL Implementation. Conclusion.Ketan Mulmuley is a Miller Fellow in the Department of Electrical Engineering and Computer Science at the University of California, Berkeley. "Full Abstraction and Semantic Equivalence" is a winner of the 1986 ACM Doctoral Dissertation Award.
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.
Download or read book Wittgenstein Finitism and the Foundations of Mathematics written by Mathieu Marion and published by Oxford University Press. This book was released on 1998 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject thanon any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in adisjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he alsodemonstrates that it has much to contribute to current debates about the foundations of mathematics.
Download or read book Theoretical Aspects of Computer Software written by Takayasu Itō and published by Springer Science & Business Media. This book was released on 1991-08-28 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: TACS'91 is the first International Conference on Theoretical Aspects of Computer Science held at Tohoku University, Japan, in September 1991. This volume contains 37 papers and an abstract for the talks presented at the conference. TACS'91 focused on theoretical foundations of programming, and theoretical aspects of the design, analysis and implementation of programming languages and systems. The following range of topics is covered: logic, proof, specification and semantics of programs and languages; theories and models of concurrent, parallel and distributed computation; constructive logic, category theory, and type theory in computer science; theory-based systems for specifying, synthesizing, transforming, testing, and verifying software.
