example, Gödel's completeness theorem establishes semantic completeness for first-order logic. A formal system S is strongly complete or complete in the strong...

Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability...

completeness means that every possible logic gate can be realized as a network of gates of the types prescribed by the set. In particular, all logic gates...

up completeness, complete, completed, or incompleteness in Wiktionary, the free dictionary. Complete may refer to: Completeness (logic) Completeness of...

(FPGA) Flip-flop (electronics) Functional completeness Integrated injection logic Karnaugh map Combinational logic List of 4000 series integrated circuits...

compactness and completeness that are equivalent in finitary logic sometimes are not so in infinitary logics. Therefore for infinitary logics, notions of...

proved the completeness theorem, which establishes a correspondence between syntax and semantics in first-order logic. Gödel used the completeness theorem...

Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical...

in the logic, all semantically valid statements are provable theorems (for an appropriate sense of "semantically valid"). Gödel's completeness theorem...

logic where Gödel's completeness theorem establishes the equivalence of semantic and syntactic consequence. In other settings, such as linear logic,...

refutation completeness. The clause produced by a resolution rule is sometimes called a resolvent. The resolution rule in propositional logic is a single...

work An incomplete formal system, see Completeness (logic) Gödel's incompleteness theorems, a specification of logic "Incomplete" (Bad Religion song), 1994...

functional completeness. NAND gates with two or more inputs are available as integrated circuits in transistor–transistor logic, CMOS, and other logic families...

theory formulated in a particular deductive logic, the logic is called complete.[citation needed] The completeness of the propositional calculus was proved...

Classical logic Computability logic Deontic logic Dependence logic Description logic Deviant logic Doxastic logic Epistemic logic First-order logic Formal...

Reprinted in Boolos, Logic, Logic and Logic, 1998. Henkin, L. (1950). "Completeness in the theory of types". Journal of Symbolic Logic. 15 (2): 81–91. doi:10...

transistors in diode–transistor logic) is additionally required to provide logical inversion (NOT) for functional completeness and amplification for voltage...

propositional logic are: Bitwise NOR Boolean algebra Boolean domain Boolean function Functional completeness NOR gate Propositional logic Sole sufficient...

produce NAND logic elements Sheffer stroke – other name NOR logic – like NAND gates, NOR gates are also universal gates Functional completeness Nisan, Noam;...

Gödel's completeness theorem, proved by Kurt Gödel in 1929, establishes that there are sound, complete, effective deductive systems for first-order logic, and...

contributions to logic, such as theories of relations and quantification. C. I. Lewis wrote, "The contributions of C. S. Peirce to symbolic logic are more numerous...

Handbook of Mathematical Logic. Elsevier Science. p. 236. ISBN 9780080933641. Retrieved 2014-10-15. "syntactic completeness from FOLDOC". swif.uniba.it...

special sense of completeness, in which the class of models (up to isomorphism) is restricted to the intended one. The original completeness proof applies...

all MV-algebras (general completeness) A {\displaystyle A} is valid in all linearly ordered MV-algebras (linear completeness) A {\displaystyle A} is valid...

its completeness, thus correspondence serves as a guide to completeness proofs. Correspondence is also used to show incompleteness of modal logics: suppose...

interpretation". Gödel's completeness theorem establishes the completeness of a certain commonly used type of deductive system. Note that "completeness" has a different...

was proved complete by Bob Constable, but with a different notion of completeness than classically. Unproved statements in intuitionistic logic are not given...

able to recognize or decode other data-manipulation rule sets. Turing completeness is used as a way to express the power of such a data-manipulation rule...

polynomial time. The concept of NP-completeness was introduced in 1971 (see Cook–Levin theorem), though the term NP-complete was introduced later. At the 1971...

proven that way. Functional completeness is a term used to describe a special property of finite logics and algebras. A logic's set of connectives is said...