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logic, finite model theory, and computability theory, Trakhtenbrot's theorem (due to Boris Trakhtenbrot) states that the problem of validity in first-order...

language. The theorem is due to Julius Richard Büchi, Calvin Elgot, and Boris Trakhtenbrot. Trakhtenbrot's theorem Courcelle's theorem Büchi, Julius Richard...

finitary problem asks whether it is true in all finite models. Trakhtenbrot's theorem shows that this is also undecidable. Some notations: S a t ( Φ )...

the logic of graphs can be realized by a finite undirected graph. Trakhtenbrot's theorem - Finite satisfiability is undecidable. Satisfiability of first...

Finite model theory Descriptive complexity theory Model checking Trakhtenbrot's theorem Computable model theory Tarski's exponential function problem Undecidable...

machine it can be defined in monadic second-order logic (Büchi–Elgot–Trakhtenbrot theorem) it is recognized by some finite syntactic monoid M, meaning it is...

also discovered and proved the theorem in logic, model theory, and computability theory now known as Trakhtenbrot's theorem. After immigrating to Israel...

Trachtenberg system of mental calculation Boris Trakhtenbrot, proved the Gap theorem, developed Trakhtenbrot's theorem Valentin Turchin, inventor of Refal programming...

problem for these graphs in polynomial time. As a special case of Trakhtenbrot's theorem, it is undecidable whether a given first-order sentence can be realized...

Brunn–Minkowski theorem (Riemannian geometry) Büchi-Elgot-Trakhtenbrot theorem (mathematical logic) Buckingham π theorem (dimensional analysis) Burke's theorem (probability...

within the original bound. The theorem was proved independently by Boris Trakhtenbrot and Allan Borodin. Although Trakhtenbrot's derivation preceded Borodin's...

fundamental importance in automata theory, where the Büchi–Elgot–Trakhtenbrot theorem gives a logical characterization of the regular languages. Second-order...

formulas (Büchi-Elgot-Trakhtenbrot theorem, 1960) NP is the set of languages definable by existential, second-order formulas (Fagin's theorem, 1974). co-NP is...

satisfiability is recursively enumerable (in class RE) and undecidable by Trakhtenbrot's theorem applied to the negation of the formula. Numerical constraints[clarify]...

article on this theorem was published in 1973; he had lectured on the ideas in it for some years before that time (see Trakhtenbrot's survey), though...

mental calculation Boris Trakhtenbrot, proved the Gap theorem, developed Trakhtenbrot's theorem Valentin Turchin, inventor of Refal programming language...

In computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete...

adjacency lists in binary. Even though some proofs of complexity-theoretic theorems regularly assume some concrete choice of input encoding, one tries to keep...

sometimes called the theorems of the system, especially in the context of first-order logic where Gödel's completeness theorem establishes the equivalence...

sets. The first major result in this branch of computability theory is Trakhtenbrot's result that a set is computable if it is (m, n)-recursive for some m...