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| Author | : Corrado Böhm |
| Publisher | : Springer |
| Total Pages | : 480 |
| Release | : 1975 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Chris Hankin |
| Publisher | : College Publications |
| Total Pages | : 164 |
| Release | : 2004 |
| Genre | : Computers |
| ISBN | : 9780954300654 |
The lambda-calculus lies at the very foundations of computer science. Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. The book emphasises the proof theory for the type-free lambda-calculus. The first six chapters concern this calculus and cover the basic theory, reduction, models, computability, and the relationship between the lambda-calculus and combinatory logic. Chapter 7 presents a variety of typed calculi; first the simply typed lambda-calculus, then Milner-style polymorphism and, finally, the polymorphic lambda-calculus. Chapter 8 concerns two variants of the type-free lambda-calculus that have appeared in the research literature: the lazy lambda-calculus, and the lambda sigma-calculus. The final chapter contains references and a guide to further reading. There are exercises throughout. In contrast to earlier books on these topics, which were written by logicians, this book is written from a computer science perspective and emphasises the practical relevance of many of the key theoretical ideas. The book is intended as a course text for final year undergraduates or first year graduate students in computer science. Research students should find it a useful introduction to more specialist literature.
| Author | : Greg Michaelson |
| Publisher | : Courier Corporation |
| Total Pages | : 338 |
| Release | : 2013-04-10 |
| Genre | : Mathematics |
| ISBN | : 0486280292 |
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 | : Chris Hankin |
| Publisher | : |
| Total Pages | : 184 |
| Release | : 1994 |
| Genre | : Computers |
| ISBN | : |
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.
| Author | : G. E. Revesz |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2009-06-25 |
| Genre | : Computers |
| ISBN | : 9780521114295 |
Originally published in 1988, this book presents an introduction to lambda-calculus and combinators without getting lost in the details of mathematical aspects of their theory. Lambda-calculus is treated here as a functional language and its relevance to computer science is clearly demonstrated. The main purpose of the book is to provide computer science students and researchers with a firm background in lambda-calculus and combinators and show the applicabillity of these theories to functional programming. The presentation of the material is self-contained. It can be used as a primary text for a course on functional programming. It can also be used as a supplementary text for courses on the structure and implementation of programming languages, theory of computing, or semantics of programming languages.
| Author | : C Bohm |
| Publisher | : Springer |
| Total Pages | : 388 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662179536 |
| Author | : Werner Kluge |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2005-12-02 |
| Genre | : Computers |
| ISBN | : 354027359X |
The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.
| Author | : Roberto M. Amadio |
| Publisher | : Cambridge University Press |
| Total Pages | : 504 |
| Release | : 1998-07-02 |
| Genre | : Computers |
| ISBN | : 0521622778 |
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
| Author | : Henk Barendregt |
| Publisher | : Cambridge University Press |
| Total Pages | : 969 |
| Release | : 2013-06-20 |
| Genre | : Mathematics |
| ISBN | : 1107276349 |
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 | : Neil D. Jones |
| Publisher | : MIT Press |
| Total Pages | : 494 |
| Release | : 1997 |
| Genre | : Computers |
| ISBN | : 9780262100649 |
Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field is known for its impenetrability. Neil Jones's goal as an educator and author is to build a bridge between computability and complexity theory and other areas of computer science, especially programming. In a shift away from the Turing machine- and G�del number-oriented classical approaches, Jones uses concepts familiar from programming languages to make computability and complexity more accessible to computer scientists and more applicable to practical programming problems. According to Jones, the fields of computability and complexity theory, as well as programming languages and semantics, have a great deal to offer each other. Computability and complexity theory have a breadth, depth, and generality not often seen in programming languages. The programming language community, meanwhile, has a firm grasp of algorithm design, presentation, and implementation. In addition, programming languages sometimes provide computational models that are more realistic in certain crucial aspects than traditional models. New results in the book include a proof that constant time factors do matter for its programming-oriented model of computation. (In contrast, Turing machines have a counterintuitive "constant speedup" property: that almost any program can be made to run faster, by any amount. Its proof involves techniques irrelevant to practice.) Further results include simple characterizations in programming terms of the central complexity classes PTIME and LOGSPACE, and a new approach to complete problems for NLOGSPACE, PTIME, NPTIME, and PSPACE, uniformly based on Boolean programs. Foundations of Computing series
