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Titlebook: Mathematical Foundations of Computer Science; Sets, Relations, and Peter A. Fejer,Dan A. Simovici Textbook 1991 Springer-Verlag New York, I

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書目名稱Mathematical Foundations of Computer Science
副標(biāo)題Sets, Relations, and
編輯Peter A. Fejer,Dan A. Simovici
視頻videohttp://file.papertrans.cn/627/626111/626111.mp4
叢書名稱Monographs in Computer Science
圖書封面Titlebook: Mathematical Foundations of Computer Science; Sets, Relations, and Peter A. Fejer,Dan A. Simovici Textbook 1991 Springer-Verlag New York, I
描述.Mathematical Foundations of Computer Science, Volume I. is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary re
出版日期Textbook 1991
關(guān)鍵詞algorithms; automata; formal language; formal languages; logic; program verification; semantics; combinator
版次1
doihttps://doi.org/10.1007/978-1-4612-3086-1
isbn_softcover978-1-4612-7792-7
isbn_ebook978-1-4612-3086-1Series ISSN 0172-603X Series E-ISSN 2512-5486
issn_series 0172-603X
copyrightSpringer-Verlag New York, Inc. 1991
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Relations and Functions, or associated with each other in some way. In this chapter, we will study relations, a way of making precise the idea of an asssociation between objects. A relation will be defined to be a set of ordered pairs, the idea being that a relation will consist of exactly those ordered pairs (.) such that
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Partially Ordered Sets,ts equipped with such relations, later referred to as partially ordered sets or posets. Later in this book, we explore a variety of mathematical structures related to partial orders, and we discuss applications of partial orders in formal language theory, semantics of programming languages, concurre
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Peter A. Fejer,Dan A. Simovicipersonality greater than its recognition, especially through two concepts or discoveries: the existence of the so-called “extended” mind and the acknowledgement of the role of the so-called social intelligence, or even of the “social brain”. This change certainly places the individual in a relations
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978-1-4612-7792-7Springer-Verlag New York, Inc. 1991
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