书目名称 | Finite Model Theory and Its Applications | 编辑 | Erich Grädel,Phokion G. Kolaitis,Scott Weinstein | 视频video | | 概述 | An introduction to the central topics in finite-model theory together with par-excellence applications of finite-model theory to database theory and AI.Includes supplementary material: | 丛书名称 | Texts in Theoretical Computer Science. An EATCS Series | 图书封面 |  | 描述 | Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, de | 出版日期 | Textbook 2007 | 关键词 | artificial intelligence; complexity; complexity theory; computer; computer science; database; logic | 版次 | 1 | doi | https://doi.org/10.1007/3-540-68804-8 | isbn_softcover | 978-3-642-43860-8 | isbn_ebook | 978-3-540-68804-4Series ISSN 1862-4499 Series E-ISSN 1862-4502 | issn_series | 1862-4499 | copyright | Springer-Verlag Berlin Heidelberg 2007 |
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