Turing's proof is a proof by Alan Turing, first published in November 1936 with the title "On Computable Numbers, with an Application to the Entscheidungsproblem"...

1937. Turing proves three problems undecidable: the "satisfaction" problem, the "printing" problem, and the Entscheidungsproblem. Turing's proof differs...

whether U is provable. — from Turing's paper as reprinted in The Undecidable, p. 145 Turing's example (his second proof): If one is to ask for a general...

2012, the centenary of Turing's birth. Very early in life, Turing's parents purchased a house in Guildford in 1927, and Turing lived there during school...

λ-calculus and Turing machines coincided. Church was quick to recognise how compelling Turing's analysis was. In his review of Turing's paper he made clear...

in April 1935 and preceded Turing by over a year, as Turing's paper was received for publication in May 1936. Turing's proof is made difficult by number...

uneven distribution of matter in galactic disc. Although Turing's ideas on morphogenesis and Turing patterns remained dormant for many years, they are now...

(Church's theorem) and independently shortly thereafter by Alan Turing in 1936 (Turing's proof). Church proved that there is no computable function which decides...

has since been used in a wide range of proofs, including the first of Gödel's incompleteness theorems and Turing's answer to the Entscheidungsproblem. Diagonalization...

Alan Turing's proof of the undecidability of the halting problem, and are very useful in reasoning about Turing machines as well. Say we had a Turing machine...

Test The Turing Trust Turing Tumble Turing's method Turing's proof Turing's Wager Turing+ (programming language) Turing.jl (probabilistic programming) Turingery...

Scott–Curry theorem, an analogue to Rice's theorem in lambda calculus Turing's proof Hopcroft, John E.; Ullman, Jeffrey D. (1979), Introduction to Automata...

what is now known as the Turing test to the general public. Turing's paper considers the question "Can machines think?" Turing says that since the words...

Gödel's first incompleteness theorem Tarski's undefinability theorem Turing's proof Löb's paradox Roger's fixed-point theorem Rice's theorem Soto-Andrade...

In computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine...

University of Birmingham, for his proof that it was "universal". Since the proof applies to a non-standard Turing machine model which allows infinite...

Automated Public Turing Test to tell Computers and Humans Apart (CAPTCHA) (/ˈkæp.tʃə/ KAP-chə) is a type of challenge–response turing test used in computing...

cites Turing's work on the ACE computer as designing "hardware to facilitate subroutine linkage"; Davis also references this work as Turing's use of...

Alan Turing's anticipation of connectionism. Synthese, 108(3), 361–377. doi: 10.1007/BF00413694 Copeland, B. J., & Proudfoot, D. (1999). Alan Turing's Forgotten...

Chapter 34, Turing's theory of morphogenesis. In Copeland, B. Jack; Bowen, Jonathan P.; Wilson, Robin; Sprevak, Mark (2017). The Turing Guide. Oxford...

as a black box (i.e., as a random oracle). Black box group Turing reduction Interactive proof system Matroid oracle Demand oracle Padding oracle attack...

In cryptography, a zero-knowledge proof (also known as a ZK proof or ZKP) is a protocol in which one party (the prover) can convince another party (the...

In theoretical computer science, a probabilistic Turing machine is a non-deterministic Turing machine that chooses between the available transitions at...

A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The...

Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects,...

1941 Konrad Zuse completed the Z3 computer. Zuse was not familiar with Turing's work on computability at the time. In particular, the Z3 lacked dedicated...

Based on Ordinals was the PhD dissertation of the mathematician Alan Turing. Turing's thesis is not about a new type of formal logic, nor was he interested...

heraldist Diariy Getmana Pylypa Orlika Alan Turing  United Kingdom 23 June 1912 7 June 1954 Mathematician Turing's proof William Van Alen  United States 10 August...

machine is capable of solving its own halting problem (a variation of Turing's proof applies). The halting problem for a Δ n 0 , Y {\displaystyle \Delta...

In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition by showing that assuming the proposition...