Titlebook: Elements of Finite Model Theory; Leonid Libkin Textbook 2004 Springer-Verlag Berlin Heidelberg 2004 Automat.Variable.automata.complexity.c

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Textbook 2004ne-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

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1862-4499 logic captures the complexity class PTIME of polynomial time computable propertiE~s. Shortly thereafter, logical characterizations978-3-642-05948-3978-3-662-07003-1Series ISSN 1862-4499 Series E-ISSN 1862-4502

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The Dismal Science: Economic Manications of finite model theory in computational complexity. We start by proving the earliest such result, Trakhtenbrot’s theorem, stating that finite satisfiability is not decidable. For the proof of Trakhtenbrot’s theorem, we code Turing machines with no inputs. By a refinement of this technique,

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