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Elements of Finite Model Theory (Texts in Theoretical Computer Science. An EATCS Series) by Leonid Libkin is a nonfiction available to read on EtoBox.

What is Elements of Finite Model Theory (Texts in Theoretical Computer Science. An EATCS Series) about?

Finite model theory is an area of mathematical logic that grew out of computer science applications. The main sources of motivational examples for finite model theory are found in database theory, computational complexity, and formal languages, although in recent years connections with other areas, such as formal methods and verification, and artificial intelligence, have been discovered. The birth of finite model theory is often identified with Trakhtenbrot's result from 1950 stating that validity over finite models is not recursively enumerable; in other words, completeness fails over finite models. The tech nique of the proof, based on encoding Turing machine computations as finite structures, was reused by Fagin almost a quarter century later to prove his cel ebrated result that put the equality sign between the class NP and existential second-order logic, thereby providing a machine-independent characterization of an important complexity class. In 1982, Immerman and Vardi showed that over ordered structures, a fixed point extension of first-order logic captures the complexity class PTIME of polynomial time computable propertiE~s. Shortly thereafter, logical characterizations o

Who reads Elements of Finite Model Theory (Texts in Theoretical Computer Science. An EATCS Series)?

Author

Leonid Libkin

Publisher

Springer Berlin

Published

2004

Language

EN

ISBN

9783662070031

Category

nonfiction

Subjects

Mathematics, Computer Science, Management

Updated

2026-03-24