# completeness

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**completeness axiom**— noun The following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered… …22

**Completeness (knowledge bases)**— A knowledge base KB is complete if there is no formular α such that KB ⊭ α and KB ⊭ ¬α. Example of knowledge base with incomplete knowledge: KB := { A ∨ B } Then we have KB ⊭ A and KB ⊭ ¬A. In some cases, you can make a consistent knowledge… …23

**Gödel's completeness theorem**— is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… …24

**Computers and Intractability: A Guide to the Theory of NP-Completeness**— Computers and Intractability: A Guide to the Theory of NP Completeness …25

**Turing completeness**— For the usage of this term in the theory of relative computability by oracle machines, see Turing reduction. In computability theory, a system of data manipulation rules (such as an instruction set, a programming language, or a cellular… …26

**Original proof of Gödel's completeness theorem**— The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… …27

**Functional completeness**— In logic, a functionally complete set of logical connectives or Boolean operators is one which can be used to express all possible truth tables by combining members of the set into a Boolean expression.[1][2] A well known complete set of… …28

**My Completeness**— Single by Thirsty Merc from the album Thirsty Merc Released 26 July 2004 …29

**Computers and Intractability: A Guide to the Theory of NP-Completeness**— Autor Michael Garey y David S. Johnson Género Libro de texto Tema(s) Ciencias de la comput …30

**Russell Small Cap Completeness Index**— A capitalization weighted index composed of all of the Russell 3000 stocks that are not represented in the Standard Poor s 500 Index. The index is designed to allow investors to access the broad market for small and mid cap stocks without… …