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Titlebook: Handbook of Logic and Proof Techniques for Computer Science; Steven G. Krantz Book 2002 Birkhäuser Boston 2002 Boolean algebra.algorithms.

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发表于 2025-3-21 19:00:38 | 显示全部楼层 |阅读模式
书目名称Handbook of Logic and Proof Techniques for Computer Science
编辑Steven G. Krantz
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图书封面Titlebook: Handbook of Logic and Proof Techniques for Computer Science;  Steven G. Krantz Book 2002 Birkhäuser Boston 2002 Boolean algebra.algorithms.
描述Logic is, and should be, the core subject area of modern mathemat­ ics. The blueprint for twentieth century mathematical thought, thanks to Hilbert and Bourbaki, is the axiomatic development of the subject. As a result, logic plays a central conceptual role. At the same time, mathematical logic has grown into one of the most recondite areas of mathematics. Most of modern logic is inaccessible to all but the special­ ist. Yet there is a need for many mathematical scientists-not just those engaged in mathematical research-to become conversant with the key ideas of logic. The Handbook of Mathematical Logic, edited by Jon Bar­ wise, is in point of fact a handbook written by logicians for other mathe­ maticians. It was, at the time of its writing, encyclopedic, authoritative, and up-to-the-moment. But it was, and remains, a comprehensive and authoritative book for the cognoscenti. The encyclopedic Handbook of Logic in Computer Science by Abramsky, Gabbay, and Maibaum is a wonderful resource for the professional. But it is overwhelming for the casual user. There is need for a book that introduces important logic terminology and concepts to the working mathematical scientist who has only
出版日期Book 2002
关键词Boolean algebra; algorithms; complexity; complexity theory; computability theory; logic; mathematical logi
版次1
doihttps://doi.org/10.1007/978-1-4612-0115-1
isbn_softcover978-1-4612-6619-8
isbn_ebook978-1-4612-0115-1
copyrightBirkhäuser Boston 2002
The information of publication is updating

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发表于 2025-3-21 22:23:28 | 显示全部楼层
Steven G. KrantzWe discuss the present state of mathematical fuzzy logic in narrow sense, its extension - fuzzy logic in broader sense (FLb) as a logic of natural human reasoning and also some related theories, e.g., the fuzzy transform. We argue that these are good theories with potential to be very practical.
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The Axioms of Set Theory,Of course there are many versions of set theory, and the inclusion or exclusion of certain axioms is the subject of intensive study. Here we present one of the most standard versions of set theory, adhering closely to the version first set down by Zermelo and Fraenkel.
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The Number Systems,It is in fact quite difficult to construct—from first principles—a system of natural numbers in which the multiplication operation is workable.
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Methods of Mathematical Proof,The basic elements of mathematics are“undefinables”(Subsection 3.1.1). Since every new piece of terminology is defined in terms of old pieces of terminology, we must begin with certain terms that have no definition.
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The Axiom of Choice,The Axiom of Choice was first enunciated by Zermelo. The standard formulation is as follows.
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