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Lambda-Calculus and Combinators: An Introduction Hardcover – August 11, 2008

ISBN-13: 978-0521898850 ISBN-10: 0521898854 Edition: 2nd
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Lambda-Calculus and Combinators: An Introduction + An Introduction to Functional Programming Through Lambda Calculus (Dover Books on Mathematics) + Purely Functional Data Structures
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Editorial Reviews

Review

From reviews of the first edition: 'The book of R. Hindley and J. Seldin is a very good introduction to fundamental techniques and results in these fields ... the book is clear, pleasant to read, and it needs no previous knowledge in the domain, but only basic notions of mathematical logic ... Clearly, it was impossible to treat everything in detail; but even when a subject is only skimmed, the book always provides an incentive for going deeper, and furnishes the means to do it, owing to a substantial bibliography. Several chapters end with interesting and useful notes with history, comments, and indications for further reading ... In conclusion, this book is very interesting and well written, and is highly recommended to everyone who wants to approach combinatory logic and lambda-calculus (logicians or computer scientists). J. Symbolic Logic

'The best general book on lambda-calculus (typed or untyped) and the theory of combinators.' Gérard Huet, INRIA

'... for teaching and for research or self-study the book is an outstanding source with its own clear merits. I think this second edition of this classical book is a beautiful asset for the literature on λ-calculus and CL.' Theory and Practice of Logic Programming

'... well written and offers a broad coverage backed by an extensive list of references. It could serve as an excellent study material for classes on λ-calculus and CL as well as a reference for logicians and computer scientists interested in the formal background for functional programming and related areas.' EMS Newsletter

'Without doubt this is a valuable treatment of a venerable topic that rewards those who understand it. The authors successfully promulgate their tradition, and that is certainly more important than providing full proofs for every result.' The Journal of JFP

Book Description

This book gives an account of combinatory logic and lambda-calculus. The grammar and basic properties of both systems are discussed, followed by explanations of type-theory and lambda-calculus models. The treatment is as non-technical as possible with many examples and exercises.
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Product Details

  • Hardcover: 358 pages
  • Publisher: Cambridge University Press; 2 edition (August 11, 2008)
  • Language: English
  • ISBN-10: 0521898854
  • ISBN-13: 978-0521898850
  • Product Dimensions: 6 x 0.9 x 8.7 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,097,094 in Books (See Top 100 in Books)

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5 of 5 people found the following review helpful By Qinglai Xiao on April 27, 2014
Format: Kindle Edition Verified Purchase
I've been learning Standard ML, Scheme and Lisp, and I've been writing small programs with these languages.
However I was only able to know how, rather than why of these languages, which are deeply rooted in Lambda calculus.
I knew how lambda and combinators work, but I had no idea why they were invented in the first place.
When reading this book, I started to get the idea behind these languages. And I now can understand why these languages were invented, and from where those concepts were innovated.
This book answers all my questions of "why", gives a thorough and clear background from a historical point of view, and suggests a long list of other books as reference.
The examples and exercises are well organized which help a lot in understanding the newly introduced concepts. Most of the exercises have answers, except very trivial ones.
Though there are tons of documents of Lambda and combinators online, I believe this is the best book as an introduction to Lambda and combinators. Strongly recommended to all that want to understand the why of Lambda and combnators.
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Format: Kindle Edition Verified Purchase
I found Hindley and Seldin's book to be a reasonably good fit for my expectations, and I think it's just the right expectations that really matter when you're deciding whether to take it on or not.

Firstly, I should note that in my opinion this book is really written from a logician's or mathematician's perspective rather than a computer scientist's one. Of course, the boundary between logic and foundational parts of theoretical computer science is thin at best, but I feel that the approach taken here, the parts of the subject chosen for study and the general tone of the text reflect a more abstract perspective than that I'd expect from a "model" CS book. In particular, I found the sections covering equality and modelling of lambda calculus to be rather boring and ill-motivated -- not because of any inherent qualities of those chapters, but simply because I presently have little interest in those specific subjects, and so far I fail to see why would they be important for me as a student of PLT and FP.

That said, if you're interested in stuff somewhat closer to the proverbial metal, the book still offers plenty of juicy stuff for you to ponder. The introduction to untyped lambda calculus, combinatory logic and simply typed lambda calculus provides a very principled coverage of those topics, discussing the subtle differences between the calculi in much gory detail, and being richly adorned with many lemmas one would take for granted, but which are discussed here in full formal glory instead, allowing the reader to develop -- if one so desires -- a fairly nuanced feel for the fundamentals.
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Lambda-Calculus and Combinators: An Introduction
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