The thesis is named after American mathematician Alonzo Church and the British mathematician Alan Turing. Before the precise definition of computable function, mathematicians often used the informal term effectively calculable to describe functions that are computable by paper-and-pencil methods. 查看更多內容 In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a 查看更多內容 One of the important problems for logicians in the 1930s was the Entscheidungsproblem of David Hilbert and Wilhelm Ackermann 查看更多內容 Proofs in computability theory often invoke the Church–Turing thesis in an informal way to establish the computability of functions while avoiding the (often very long) details … 查看更多內容 Philosophers have interpreted the Church–Turing thesis as having implications for the philosophy of mind. B. Jack Copeland states that it is an open empirical question whether there are actual deterministic physical processes that, in the long … 查看更多內容 J. B. Rosser (1939) addresses the notion of "effective computability" as follows: "Clearly the existence of CC and RC (Church's and Rosser's proofs) presupposes a precise definition of 'effective'. 'Effective method' is here used in the rather … 查看更多內容 Other formalisms (besides recursion, the λ-calculus, and the Turing machine) have been proposed for describing effective calculability/computability. Kleene (1952) adds to the list the functions "reckonable in the system S1" of Kurt Gödel 1936, and Emil Post's … 查看更多內容 The success of the Church–Turing thesis prompted variations of the thesis to be proposed. For example, the physical Church–Turing … 查看更多內容 網頁1 language. The history of the Church–Turing thesis ("thesis") involves the history of the development of the study of the nature of functions whose values are effectively calculable; or, in more modern terms, functions whose values are algorithmically computable. It is an important topic in modern mathematical theory and computer science ...
Turing machines on Bitcoin - CoinGeek
網頁The thesis heralded... Google Tech TalkJune 8, 2009 ABSTRACT Presented by Yuri Gurevich. The Church-Turing thesis is one of the foundations of computer science. 網頁The Turing Thesis Myth Claim 1. All computable problems are function-based. Clam 2. All computable problems can be described by an algorithm. Claim 3. Algorithms are what … fiche rsst 34
The Church-Turing Thesis (Stanford Encyclopedia of Philosophy)
網頁The Church-Turing thesis makes a bold claim about the theoretical limits to computation. It is based upon independent analyses of the general notion of an effective procedure proposed by Alan Turing and Alonzo Church in the 1930's. As originally construed, the thesis applied only to the number theoretic functions; it amounted to the claim that there were no … 網頁Thesis Systems of Logic Based on Ordinals (1938) Doctoral advisor Alonzo Church [2] Murid doctoral Robin Gandy, [2] [3] Beatrice Worsley [4] Mempengaruhi Max Newman [5] Lingga tangan Alan Mathison Turing OBE FRS (embas 23 Juni 1912 – seda 7 Juni , ... 網頁1997年1月8日 · The Church-Turing thesis is a thesis about the extent of effective methods, and therein lies its mathematical importance. Putting this another way, the thesis concerns what a human being can achieve when working by rote, with paper and pencil (ignoring contingencies such as boredom, death, or insufficiency of paper). fichers de boruto ppsspp