A SHORT INTRODUCTION TO INTUITIONISTIC LOGIC (UNIVERSITY SERIES IN MATHEMATICS) BY GRIGORI MINTS
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A SHORT INTRODUCTION TO INTUITIONISTIC LOGIC (UNIVERSITY SERIES IN MATHEMATICS) BY GRIGORI MINTS PDF
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Review `This is the most welcome addition to the literature on intuitionistic logic, providing a substantial reference of value comparable to that of better established references for classical mathematical logic. The development of Mints' book is natural, elegant and accessible, with a minimum of fuss but no lack of attention to important detail. Overall, the book is an excellent addition to the literature.' Mathematical Reviews, 2002b
A SHORT INTRODUCTION TO INTUITIONISTIC LOGIC (UNIVERSITY SERIES IN MATHEMATICS) BY GRIGORI MINTS PDF
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A SHORT INTRODUCTION TO INTUITIONISTIC LOGIC (UNIVERSITY SERIES IN MATHEMATICS) BY GRIGORI MINTS PDF
Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999. ● ● ● ● ● ● ● ●
Sales Rank: #8161161 in Books Published on: 2013-10-04 Released on: 2013-10-04 Original language: English Number of items: 1 Dimensions: 9.25" h x .33" w x 6.10" l, .47 pounds Binding: Paperback 131 pages
Review `This is the most welcome addition to the literature on intuitionistic logic, providing a substantial reference of value comparable to that of better established references for classical mathematical logic. The development of Mints' book is natural, elegant and accessible, with a minimum of fuss but no lack of attention to important detail. Overall, the book is an excellent addition to the literature.' Mathematical Reviews, 2002b Most helpful customer reviews 2 of 2 people found the following review helpful. Concise By Pawin Vongmasa Most proofs presented in this book are surprisingly simple and beautiful. My main complaint is that it has a lot of typos, and almost all references are incorrect. (The proof of topological completeness is not so ... correct?)
5 of 7 people found the following review helpful. cryptic By tecken The nicest thing I can say about this book is that at best, this is a post-graduate text. This is not an introduction at any introductory level. Basically, this is the worst book on logic that I have ever tried to read. Could it be my fault? I thought about that and then I realized that I have read and understood at least five other people's treatments of the BHK interpretation and had no complaints whereas the one in this book is just so muddled and poorly done as to be inpenetrable. And the BHK interpretation is not that hard to understand. Perhaps if you already know the topic, you might get something out of this book. As for me, I spent a lot of money on this short book and I'd like to get it back. On the other hand, an excellent introduction to intuitionistic logic can be found in a nominally unlikely book "Lectures On The Curry-Howard Isomorphism" by Sorensen and Urzyczyn. This is a great book on logic, beautifully written. See my review. See all 2 customer reviews...
A SHORT INTRODUCTION TO INTUITIONISTIC LOGIC (UNIVERSITY SERIES IN MATHEMATICS) BY GRIGORI MINTS PDF
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