Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series) pdf epub mobi txt 電子書下載 2024

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Erich Grädel

Springer

2007-06-11

437

USD 79.95

Hardcover

9783540004288

圖書標籤: 計算機科學數理邏輯有窮模型論數學描述復雜性 nemlophics TCS Rice

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发表于2024-11-07

Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series) epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series) pdf epub mobi txt 電子書下載 2024

圖書描述

This book gives a comprehensive overview of central themes of finite model theory a " expressive power, descriptive complexity, and zero-one laws a " together with selected applications relating to database theory and artificial intelligence, especially constraint databases and constraint satisfaction problems. The final chapter provides a concise modern introduction to modal logic, emphasizing the continuity in spirit and technique with finite model theory. This underlying spirit involves the use of various fragments of and hierarchies within first-order, second-order, fixed-point, and infinitary logics to gain insight into phenomena in complexity theory and combinatorics. The book emphasizes the use of combinatorial games, such as extensions and refinements of the Ehrenfeucht-FraissA(c) pebble game, as a powerful way to analyze the expressive power of such logics, and illustrates how deep notions from model theory and combinatorics, such as o-minimality and treewidth, arise naturally in the application of finite model theory to database theory and AI. Students of logic and computer science will find here the tools necessary to embark on research into finite model theory, and all readers will experience the excitement of a vibrant area of the application of logic to computer science.

Finite Model Theory and Its Applications (Texts in Theoretical Computer Science. An EATCS Series) 下載 mobi epub pdf txt 電子書