theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture...
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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...
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the Church–Turing–Deutsch principle (CTD principle) is a stronger, physical form of the Church–Turing thesis formulated by David Deutsch in 1985. The...
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the foundations of theoretical computer science. He is best known for the lambda calculus, the Church–Turing thesis, proving the unsolvability of the...
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introduced by Alonzo Church. Church's work intertwined with Turing's to form the basis for the Church–Turing thesis. This thesis states that Turing machines, lambda...
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simulated by a universal Turing machine. The Church–Turing thesis states that this is a law of mathematics – that a universal Turing machine can, in principle...
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an elder brother, John Ferrier Turing, father of Sir John Dermot Turing, 12th Baronet of the Turing baronets. Turing's father's civil service commission...
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Alan Turing Institute Church–Turing thesis Good–Turing frequency estimation Turing completeness Turing degree Turing fixed-point combinator Turing Institute...
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This became the Church–Turing thesis, a hypothesis about the nature of mechanical calculation devices, such as electronic computers. The thesis states that...
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Enumeration Forcing (computability) Halting problem History of the Church–Turing thesis Lambda calculus List of undecidable problems Post correspondence problem...
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Computable function (redirect from Turing computable)
true. Turing and Church independently showed in the 1930s that this set of natural numbers is not computable. According to the Church–Turing thesis, there...
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Word problem (mathematics) (section Example: A term rewriting system to decide the word problem in the free group)
poses the word problem for finitely presented semigroups. 1930 (1930) – 1938 (1938): The Church-Turing thesis emerges, defining formal notions of computability...
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Hypercomputation (redirect from Super-Turing computation)
Hypercomputation or super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For example...
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Entscheidungsproblem (redirect from Church's Theorem)
assumption is now known as the Church–Turing thesis. The origin of the Entscheidungsproblem goes back to Gottfried Leibniz, who in the seventeenth century,...
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of invention and scientific development Hilary Putnam History and philosophy of science History of evolutionary thought History of the Church–Turing thesis...
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Halting problem (redirect from Lossy Turing machine)
shows that there are problems that cannot be solved by a Turing machine, the Church–Turing thesis limits what can be accomplished by any machine that implements...
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Effective method (category Theory of computation)
The Kleene Symposium. Retrieved 19 April 2024. Copeland, B.J.; Copeland, Jack; Proudfoot, Diane (June 2000). "The Turing-Church Thesis". AlanTuring.net...
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Computability theory (redirect from Turing computability)
names "Church's thesis": 300 and "Turing's thesis".: 376 Nowadays these are often considered as a single hypothesis, the Church–Turing thesis, which...
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Philosophy History of political thinking History of pseudoscience History of the Church–Turing thesis History of the concept of creativity History of western...
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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"...
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functions under Church encoding. The Church–Turing thesis asserts that any computable operator (and its operands) can be represented under Church encoding.[dubious...
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most powerful possible "reasonable" model of computation (see Church–Turing thesis). It might seem that the potentially infinite memory capacity is an...
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Computably enumerable set (redirect from Turing recognizable)
which yields an enumeration of S. This cannot be taken as a formal definition, however, because the Church–Turing thesis is an informal conjecture rather...
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Algorithm (redirect from History of algorithms)
source of his "Thesis I", the so-called Church–Turing thesis. Rogers, Hartley Jr. (1987). Theory of Recursive Functions and Effective Computability. The MIT...
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Heterophenomenology Hilary Putnam Historicity (philosophy) History and Future of Justice History of the Church–Turing thesis Honorio Delgado Hossein Ziai Howard Adelman...
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Chinese room (redirect from Strong AI thesis)
enough memory and time. Turing writes, "all digital computers are in a sense equivalent." The widely accepted Church–Turing thesis holds that any function...
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Computing Machinery and Intelligence (redirect from The Mathematical Objection)
given enough memory and time. (This is the essential insight of the Church–Turing thesis and the universal Turing machine.) Therefore, if any digital machine...
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Metamathematics (redirect from History of metamathematics)
expressible in the lambda calculus). This assumption is now known as the Church–Turing thesis. Mathematics portal Meta Metalogic Model theory Philosophy of mathematics...
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computability terms, to Turing machines, thereby proving the physical Church–Turing thesis for the class of systems modelled by the GPAC. This was recently...
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automaton Conway's Game of Life Langton's ant Edge of chaos Turing machine Deterministic Turing machine Non-deterministic Turing machine Alternating automaton...
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