# Consistency

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**Domain-specific multimodeling**— Domain specific multimodeling[1] is a software development paradigm where each view is made explicit as a separate domain specific language (DSL). Successful development of a modern enterprise system requires the convergence of multiple views.… …102

**Hilbert's program**— Hilbert s program, formulated by German mathematician David Hilbert in the 1920s, was to formalize all existing theories to a finite, complete set of axioms, and provide a proof that these axioms were consistent.Hilbert proposed that the… …103

**metalogic**— /met euh loj ik/, n. the logical analysis of the fundamental concepts of logic. [1835 45; META + LOGIC] * * * Study of the syntax and the semantics of formal languages and formal systems. It is related to, but does not include, the formal… …104

**Hilbert's second problem**— In mathematics, Hilbert s second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic of real numbers is consistent.In the 1930s, Kurt Gödel and Gerhard Gentzen proved results that cast new… …105

**Operational transformation**— Operation Transformation redirects here. For the cross media event, see Operation Transformation (TV series). Operational transformation (OT) is a technology for supporting a range of collaboration functionalities in advanced groupware systems.… …106

**Mathematical logic**— (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …107

**logic, history of**— Introduction the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic There was a medieval tradition according to which the Greek philosopher …108

**Look-ahead (backtracking)**— In backtracking algorithms, look ahead is the generic term for a subprocedure that attempts to foresee the effects of choosing a branching variable to evaluate or one of its values. The two main aims of look ahead are to choose a variable to… …109

**Forcing (mathematics)**— For the use of forcing in recursion theory, see Forcing (recursion theory). In the mathematical discipline of set theory, forcing is a technique invented by Paul Cohen for proving consistency and independence results. It was first used, in 1963,… …110

**Equiconsistency**— In mathematical logic, two theories are equiconsistent if, roughly speaking, they are as consistent as each other . It is not in general possible to prove the absolute consistency of a theory T. Instead we usually take a theory S, believed to be… …