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Logic for Computer Science: Foundations of Automatic Theorem Proving, Second Edition (Dover Books on Computer Science) First Edition, First
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Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
- ISBN-100486780821
- ISBN-13978-0486780825
- EditionFirst Edition, First
- PublisherDover Publications
- Publication dateJune 18, 2015
- LanguageEnglish
- Dimensions6.1 x 1 x 9.1 inches
- Print length528 pages
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Product details
- Publisher : Dover Publications; First Edition, First (June 18, 2015)
- Language : English
- Paperback : 528 pages
- ISBN-10 : 0486780821
- ISBN-13 : 978-0486780825
- Item Weight : 1.55 pounds
- Dimensions : 6.1 x 1 x 9.1 inches
- Best Sellers Rank: #623,409 in Books (See Top 100 in Books)
- #203 in Programming Algorithms
- #262 in Mathematical Logic
- #1,547 in Mathematics (Books)
- Customer Reviews:
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The flow and writing in doing so, are really exemplary. It is probably also an excellent course book too, given that almost every definition is followed or preceded by a good example, and good exercises are given at the endings of sections.
That said, if your aims in reading this book are very different than being able to prove various things about propositional logic and first order logic, you may only use this book for solid background; discussion of actual algorithms is confined to succinct comments of the basic algorithms presented, whereas outside of SLD Resolution, later algorithmic advances may be described as out of scope. So while being excellent as per the praise above, in a certain vein, there's little in this book alone to meet many basic concerns of a computer science reader, except for being an invaluable source for the purposes already mentioned.
I should probably very humbly say that for practical logic algorithms' design and research, this book may serve as foundational background, probably as in being necessary yet insufficient. Alas for such a complicated topic, where even basic feats require so much build up, one cannot possibly expect to study from only a single book!
Another important title in this area is Newborn ( Automated Theorem Proving: Theory and Practice ) because it includes code you can run on a PC with a C++ compiler, however it is very expensive and used versions often don't include the code. Gallier is highly recommended for the price/value and would undoubtedly cost $200 if it were Springer rather than Dover, THANK YOU to the author for being sensitive to our budgets!
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très bel ouvrage bien conàu et bien garni d'ifnormation sur la logique et de démonstration automatique.
Correspoind bien à ce que je m'attendais de lui...bon achat, n'éhsitez pas.







