Provable
111History of the Church-Turing thesis — This article is an extension of the history of the Church Turing thesis.The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …
112Gödel–Gentzen negative translation — In proof theory, the Gödel–Gentzen negative translation is a method for embedding classical first order logic into intuitionistic first order logic. It is one of a number of double negation translations that are of importance to the metatheory of …
113Temporal finitism — is the idea that time is finite.The philosophy of Aristotle, expressed in such works as his Physics , held that although space was finite, with only void existing beyond the outermost sphere of the heavens, time was infinite. This caused problems …
114Recursive languages and sets — This article is a temporary experiment to see whether it is feasible and desirable to merge the articles Recursive set, Recursive language, Decidable language, Decidable problem and Undecidable problem. Input on how best to do this is very much… …
115Dialectica interpretation — In proof theory, the Dialectica interpretation [1] is a proof interpretation of intuitionistic arithmetic (Heyting arithmetic) into a finite type extension of primitive recursive arithmetic, the so called System T. It was developed by Kurt Gödel… …
116Cryptography — Secret code redirects here. For the Aya Kamiki album, see Secret Code. Symmetric key cryptography, where the same key is used both for encryption and decryption …
117Regle d'inference — Règle d inférence Dans un système logique, les règles d inférence sont les règles qui fondent le processus de déduction, de dérivation ou de démonstration. L application des règles sur les axiomes du système permet d en démontrer les théorèmes.… …
118Règle d'inférence — Dans un système logique, les règles d inférence sont les règles qui fondent le processus de déduction, de dérivation ou de démonstration. L application des règles sur les axiomes du système permet d en démontrer les théorèmes. Sommaire 1… …
119completeness — See completely. * * * Concept of the adequacy of a formal system that is employed both in proof theory and in model theory (see logic). In proof theory, a formal system is said to be syntactically complete if and only if every closed sentence in… …
120set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …
