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...

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...

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...

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...

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

The Turing Test (novel) The Turing Test (video game) The Turing Trust Turing from 2064: Read Only Memories (video game) Turing's method Turing's proof Turing's...

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...

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...

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

(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...

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

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...

particular tasks. Turing's unorganized machines were in fact very early examples of randomly connected, binary neural networks, and Turing claimed that these...

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...

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...

in contrast to the standard Turing test that is administered by a human, CAPTCHAs are sometimes described as reverse Turing tests. Two widely used CAPTCHA...

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...

1954 Politician Carta Testamento Alan Turing  United Kingdom 23 June 1912 7 June 1954 Mathematician Turing's proof William Van Alen  United States 10 August...

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...

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...

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...

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

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...

instances, where the answer is "yes", have proofs verifiable in polynomial time by a deterministic Turing machine, or alternatively the set of problems...

"Church's thesis": 300  and "Turing's thesis".: 376  Nowadays these are often considered as a single hypothesis, the Church–Turing thesis, which states that...

The ACM A. M. Turing Award is an annual prize given by the Association for Computing Machinery (ACM) for contributions of lasting and major technical importance...

computer pioneer Alan Turing, from a photograph taken by the Elliott & Fry photographic studio in 1951, a table of formulae from Turing's 1936 work On Computable...

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

In cryptography, a zero-knowledge proof is a protocol in which one party (the prover) can convince another party (the verifier) that some given statement...