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Handbook of Practical Logic and Automated Reasoning 1st Edition


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This book meets the demand for a self-contained and broad-based account of the concepts, the machinery and the use of automated reasoning. The mathematical logic foundations are described in conjunction with practical application, all with the minimum of prerequisites. The approach is constructive, concrete and algorithmic: a key feature is that methods are described with reference to actual implementations (for which code is supplied) that readers can use, modify and experiment with. This book is ideally suited for those seeking a one-stop source for the general area of automated reasoning. It can be used as a reference, or as a place to learn the fundamentals, either in conjunction with advanced courses or for self study.

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Editorial Reviews

Review

"Valuable as both a strong introduction for complete beginners and a rich reference source, even for expert logicians."
D.V. Feldman, CHOICE

" [...] if you want to implement ATP (automated theorem proving) code this book is an excellent choice. It has complete implementations of absolutely everything in OCaml (a dialect of ML, a mostly functional programming language) which is an excellent choice for this type of application."
D. Fox, amazon.com

"[...] sure to fill a need for a well-rounded work that can serve both as a reference on a range of topics and as an introductory text, especially for those who wish to study the subject for its possible practical uses. [...] Good features of the book are its overall readability, the good historical perspective conveyed while retaining its serious scholarly gravitas, and the use of OCaml to work with the concepts, presented alongside."
Shrisha Rao, Computing Reviews

"Harrison exhibits both the remarkable flexibility and limitations of OCaml (and other languages) for automated theorem proving. [...] I strongly recommend Harrison's handbook to mathematicians working on provability, computer program developers working to establish self-coherence of some parts of their programs, and students looking to understand propositional and first-order logic."
Arturo Ortiz-Tapia, Computing Reviews

"[...] the book is remarkable in many ways, including the breadth of its scope, the depth of its insights, and the clarity and readability of its prose. [...] while Harrison does focus on implementation and practical issues, he does not skimp on the underlying theory; indeed, the text passes between the two poles with surprising fluidity. The book does not assume background in logic, and appendices review the requisite background in mathematics and programming. As a result, the text is accessible to a broad audience, including sufficiently advanced undergraduates. [...] Harrison does a very good job of providing broader context and pointers to the literature. Each section ends with copious notes and references. As a result, the book can serve as a helpful introduction to the contemporary literature, like having a friendly uncle working in the field. [...] It provides a lucid and synoptic overview of these topics, conveys a solid theoretical background, provides tools for experimentation, and offers notes and pointers that facilitate a smooth transition to the contemporary literature. [...] Anyone working in automated reasoning, or looking to come up to speed on developments in the field, will want to have a copy at hand."
Jeremy Avigad, Theory and Practice of Logic Programming

"Overall this is an excellent book that provides a wide-ranging view on automated reasoning techniques for classical logic. The author achieves a good balance between providing good intuition and rigour in presenting the selected materials. Its breadth will make sure that even an expert in the area will find something useful in the book."
Alwen Tiu, The Bulletin of Symbolic Logic

Book Description

A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Product details

  • Publisher ‏ : ‎ Cambridge University Press; 1st edition (April 13, 2009)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 702 pages
  • ISBN-10 ‏ : ‎ 0521899575
  • ISBN-13 ‏ : ‎ 978-0521899574
  • Item Weight ‏ : ‎ 3.06 pounds
  • Dimensions ‏ : ‎ 7 x 1.5 x 9.75 inches
  • Customer Reviews:

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J. Harrison
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Customer reviews

4.8 out of 5 stars
4.8 out of 5
10 global ratings

Top reviews from the United States

Reviewed in the United States on August 18, 2010
I've only just received this book, but after a few hours I can say that if you want to implement ATP (automated theorem proving) code this book is an excellent choice. It has complete implementations of absolutely everything in OCaml (a dialect of ML, a mostly functional programming language) which is an excellent choice for this type of application. Almost as good as Haskell (I kid.) Chang and Lee is a great book, but forty years have passed... (Note that I have translated the code into Haskell, you can find it on hackage under the name atp-haskell.)
10 people found this helpful
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Reviewed in the United States on May 24, 2011
This book is an excellent introduction into the world of automated theorem proving. The author takes it slowly, building up from the very basics, but the book is still very complete and covers most relevant topics (with the exception of modern SMT solvers, perhaps, which only get a rather meagre coverage -- I'd recommend Kroening and Strichman's book on decision procedures as a complement to Harrison's book). Harrison's book is also complete in the sense that there's an implementation for _every_ algorithm described in this book (so, you'll have a hard time finding a handwavy description). Some people might frown upon the use of OCaml instead of a more widely used language like C++ or Java, but, let's be honest, nobody wants to read pages of source code and class definitions if there's a programming language which is designed for the job and can describe ATP algorithms much more succinctly. While reading the book you can basically build your own automated theorem prover from scratch. The disadvantage of this approach is that, if you just want to read up on some more sophisticated decision procedures, you'll more often than not find yourself looking up the implementation of certain basic functions in the earlier chapters of the book. Keep that in mind if you want to use the book as a reference rather than as a tutorial (I'm not saying that it can't be used as a reference, however, it can sometimes turn out to be a bit time-consuming to look up things). Finally, I really like Harrison's writing style. It's always a joy to read this book, and it's very much to the point and never over-burdened (but there are many cross-references if you want to dig deeper). This book is a 'must-have' for everyone who's interested in automated decision procedures.
12 people found this helpful
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Reviewed in the United States on September 7, 2014
This is a supremely enjoyable book on logic and ATP. Every major concept is developed as an ocaml program so there is total clarity on everything described in this book. Not only do the programs introduce clarity, they reduce the amount of complex explanations required in many places. I wish more authors would take this programming approach in their textbooks. This is, however, not a book of programs only... the text is excellent.

I can't praise this book enough. It's made the subject of logic come alive for me.
2 people found this helpful
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Reviewed in the United States on December 30, 2021
This book is a gem. It's all u need to study automated reasoning.

Top reviews from other countries

ana jesus
5.0 out of 5 stars Very Good
Reviewed in Spain on March 7, 2019
I recommend