formal program proof

formal program proof
формальное доказательство правильности программы

English-Russian dictionary of computer science and programming. 2013.

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  • Proof theory — is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively defined data structures such as plain lists, boxed… …   Wikipedia

  • Formal methods — In computer science and software engineering, formal methods are particular kind of mathematically based techniques for the specification, development and verification of software and hardware systems.cite web|author=R. W. Butler|title=What is… …   Wikipedia

  • Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… …   Wikipedia

  • Program derivation — In computer science, program derivation is the derivation of a program from its specification, by mathematical means.To derive a program means to write a formal specification, which is usually non executable, and then apply mathematically correct …   Wikipedia

  • Formal semantics of programming languages — In theoretical computer science, formal semantics is the field concerned with the rigorous mathematical study of the meaning of programming languages and models of computation. The formal semantics of a language is given by a mathematical model… …   Wikipedia

  • Turing's proof — First published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem , Turing s proof was the second proof of the assertion (Alonzo Church proof was first) that some questions are undecidable :… …   Wikipedia

  • Computer-assisted proof — A computer assisted proof is a mathematical proof that has been at least partially generated by computer. Most computer aided proofs to date have been implementations of large proofs by exhaustion of a mathematical theorem. The idea is to use a… …   Wikipedia

  • Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

  • Nuclear program of Iran — See also: Iran and weapons of mass destruction Nuclear program of Iran …   Wikipedia

  • 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… …   Wikipedia

  • Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …   Wikipedia


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