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MATHEMATICAL LOGIC CLASS NOTE 1. Propositional logic A
MATHEMATICAL LOGIC CLASS NOTE 1. Propositional logic A

5.8.2 Unsolvable Problems
5.8.2 Unsolvable Problems

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0,1 - Duke University

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23-24-TuringMachinesHandout

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PPT - University of Virginia

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COS 116 The Computational Universe Homework 3

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CS3012: Formal Languages and Compilers

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HUMAN AND MACHINE LOGIC: A REJOINDER

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Turing Machines

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Slides

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slides - Center for Collective Dynamics of Complex Systems (CoCo)

Day33-Reduction - Rose
Day33-Reduction - Rose

... Given an angle A, divide A into sixths using only a straightedge and a compass. Proof: Suppose that there were such a procedure, which we’ll call sixth. Then we could trisect an arbitrary angle: trisect(a: angle) = 1. Divide a into six equal parts by invoking sixth(a). 2. Ignore every other line, th ...
decidable
decidable

Paresh Gupta
Paresh Gupta

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Full text

Lecture Notes 12: Cognition and Computation
Lecture Notes 12: Cognition and Computation

< 1 ... 18 19 20 21 22 >

Turing's proof

Turing's proof is a proof by Alan Turing, first published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem. It was the second proof of the assertion (Alonzo Church's proof was first) that some decision problems are ""undecidable"": there is no single algorithm that infallibly gives a correct ""yes"" or ""no"" answer to each instance of the problem. In his own words:""...what I shall prove is quite different from the well-known results of Gödel ... I shall now show that there is no general method which tells whether a given formula U is provable in K [Principia Mathematica]..."" (Undecidable p. 145).Turing preceded this proof with two others. The second and third both rely on the first. All rely on his development of type-writer-like ""computing machines"" that obey a simple set of rules and his subsequent development of a ""universal computing machine"".
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