Towards the Theory. Classical Lambda Calculus. The Theory of Combinators. Classical Lambda Calculus Continued. The Lambda-Calculus.

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Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. 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 The revised edition contains a new chapter which provides an elegant description of the semantics.

Indications are given of those parts of the book which can be used to form a coherent course. Get A Copy. Paperback , pages. Published November 15th by North-Holland first published October 1st More Details Original Title. Other Editions 2. Friend Reviews. To see what your friends thought of this book, please sign up.

To ask other readers questions about The Lambda Calculus , please sign up. Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Average rating 4. Rating details. Sort order. Oct 14, Nick Black rated it it was amazing Shelves: stupidlyexpensive , likely-reread , purely-reference.

I've heard much about this book, supposedly the supreme guide to rigorous type-free LC. Tales are told and ballads sung of its epic difficulty; I admit fair intimidation. I'd like to get a copy before next summer, so I can churn through it prior to taking CS or whatever they're calling the graduate programming language theory class these days. Supposedly, this is a great I've heard much about this book, supposedly the supreme guide to rigorous type-free LC.

Supposedly, this is a great follow-up to Benjamin Pierce 's books, which I found generally excellent. Barendregt has put together an awe-inspiring work, but not one that's meant to be chewed through. Unfortunately, skimming seems an impossibility, given the supremely striated content -- I tried jumping pages several times, and immediately had no idea what was going on.

I was willing to give it time, but 10 chapters in or so, I haven't gained much insight; The Lambda Calculus , Volume in the Studies of Logic and the Foundations of Mathematics and almost certainly the largest and best-known heh, possibly known to about 50k people worldwide, and that's being very generous is certainly a pillar of computing and type theory, but I'm content to trust the good Dutchman that it all works. It appears I'm never to be a category theorist; so it must, I suppose, go.

I finally understand combinators on an axiomatic, theoretical level, which had always kind of bugged me especially as my home workstation -- since being rebuilt in , anyway -- has been named recombinator although that's a reference to biocomputing rather than computation theory! Who am I to criticize one of the Greatest of all Time? There are no discussion topics on this book yet.

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The Lambda Calculus, Volume 103

The main ideas are applying a function to an argument and forming functions by abstraction. Functions and arguments are on a par with one another. The result is a non-extensional theory of functions as rules of computation, contrasting with an extensional theory of functions as sets of ordered pairs. This entry develops some of the central highlights of the field and prepares the reader for further study of the subject and its applications in philosophy, linguistics, computer science, and logic.


The Lambda Calculus

Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? The Lambda Calculus, treated in this book mainly in its untyped version, consists of a collection of expressions, called lambda terms, together with ways how to rewrite and identify these. In the parts conversion, reduction, theories, and models the view is respectively 'algebraic', computational, with more 'coinductive' identifications, and finally set-theoretic. The lambda terms are built up from variables, using application and abstraction. This is only the intention: to actually obtain the result one has to rewrite the expression FM according to the reduction rules.

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