theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture...

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...

the Church–Turing–Deutsch principle (CTD principle) is a stronger, physical form of the Church–Turing thesis formulated by David Deutsch in 1985. The...

the foundations of theoretical computer science. He is best known for the lambda calculus, the Church–Turing thesis, proving the unsolvability of the...

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...

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...

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...

Alan Turing Institute Church–Turing thesis Good–Turing frequency estimation Turing completeness Turing degree Turing fixed-point combinator Turing Institute...

This became the Church–Turing thesis, a hypothesis about the nature of mechanical calculation devices, such as electronic computers. The thesis states that...

Enumeration Forcing (computability) Halting problem History of the Church–Turing thesis Lambda calculus List of undecidable problems Post correspondence problem...

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...

poses the word problem for finitely presented semigroups. 1930 (1930) – 1938 (1938): The Church-Turing thesis emerges, defining formal notions of computability...

Hypercomputation or super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For example...

assumption is now known as the Church–Turing thesis. The origin of the Entscheidungsproblem goes back to Gottfried Leibniz, who in the seventeenth century,...

of invention and scientific development Hilary Putnam History and philosophy of science History of evolutionary thought History of the Church–Turing thesis...

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...

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

The Kleene Symposium. Retrieved 19 April 2024. Copeland, B.J.; Copeland, Jack; Proudfoot, Diane (June 2000). "The Turing-Church Thesis". AlanTuring.net...

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"...

functions under Church encoding. The Church–Turing thesis asserts that any computable operator (and its operands) can be represented under Church encoding.[dubious...

most powerful possible "reasonable" model of computation (see Church–Turing thesis). It might seem that the potentially infinite memory capacity is an...

source of his "Thesis I", the so-called Church–Turing thesis. Rogers, Hartley Jr. (1987). Theory of Recursive Functions and Effective Computability. The MIT...

Philosophy History of political thinking History of pseudoscience History of the Church–Turing thesis History of the concept of creativity History of western...

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...

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...

Heterophenomenology Hilary Putnam Historicity (philosophy) History and Future of Justice History of the Church–Turing thesis Honorio Delgado Hossein Ziai Howard Adelman...

enough memory and time. Turing writes, "all digital computers are in a sense equivalent." The widely accepted Church–Turing thesis holds that any function...

algorithm, there exists a Turing machine that solves the problem. Indeed, this is the statement of the Church–Turing thesis. Furthermore, it is known...

expressible in the lambda calculus). This assumption is now known as the Church–Turing thesis. Mathematics portal Meta Metalogic Model theory Philosophy of mathematics...

computability terms, to Turing machines, thereby proving the physical Church–Turing thesis for the class of systems modelled by the GPAC. This was recently...