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...

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...

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

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

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

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

Roger (1997). Fontana History of the Human Sciences. London: Fontana. Turing, Sara Stoney (1959). Alan M Turing. W Heffer. Turing's mother, who survived...

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...

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

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

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

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

mathematical conjectures which can be encoded in the form "does ⟨this Turing machine⟩ halt". For example, a 27-state Turing machine could check Goldbach's conjecture...

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

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

2000). "The Turing-Church Thesis". AlanTuring.net. Turing Archive for the History of Computing. Retrieved 23 March 2013. The Cambridge Dictionary of Philosophy...

automaton Conway's Game of Life Langton's ant Edge of chaos Turing machine Deterministic Turing machine Non-deterministic Turing machine Alternating automaton...

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...

suggested that, within these limits, any form of mathematical reasoning could be mechanized. The Church-Turing thesis implied that a mechanical device, shuffling...

Systems of Logic Based on Ordinals was the PhD dissertation of the mathematician Alan Turing. The thesis was completed at Princeton under Alonzo Church and...

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

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...

proposed, the computable functions for such a model are computable for the above four models of computation. The Church–Turing thesis is the unprovable...

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"...

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

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

sequence being "random". Church–Turing thesis. The mathematical concept of "computable by Turing machines" captures the intuitive notion of a function being "computable"...