program+proof

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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

• Proof by exhaustion — Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A… …   Wikipedia

• Proof Positive — Infobox Television show name = Proof Positive caption = format = Documentary picture format = runtime = 60 minutes (including commercials) developer = executive producer = starring = Amanda Tapping country = United States network = Sci Fi Channel …   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

• Proof of knowledge — In cryptography, a proof of knowledge is an interactive proof in which the prover succeeds convincing a verifier that it knows something. What it means for a machine to know something is defined in terms of computation. A machine knows something …   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

• Proof mining — In proof theory (a branch of mathematical logic), proof mining is a research program [cite book title = Applied Proof Theory: Proof Interpretations and Their Use in Mathematics author = Ulrich Kohlenbach publisher = Springer Verlag, Berlin year …   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

• 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

• 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

• NEXUS (frequent traveler program) — NEXUS logo NEXUS is a joint Canada United States program designed to let pre approved, low risk travelers cross the US Canada border quickly. Members of the program can avoid long waits at border entry points by using self serve kiosks at… …   Wikipedia