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Turing, A. M. On computable numbers, with an application to the Entscheidungsproblem, Proceedings of the London Mathematical Society, ser 2., vol. 42, 230-265; vol. 43, 544-546, (1936).

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On the Length of Programs for Computing Finite Binary Sequences - Chaitin (1966)   (86 citations)  (Correct)

....the machine whose table of entries T N,M it then knows, until it finally calculates the finite binary sequence S which the program being imitated calculates, if S exists. 1.8.7a) has just been demonstrated. 1.8.7b) was shown in Section 1.6. The concept of a universal program is due to Turing [3]. The proof of (1.8.5) follows. From (1.8.7a) and (1.8.7b) 1 # k )LM (S k ) and from (1.8.7c) and the hypothesis of (1.8.5) LM (C(T LM (S k ) M ) r LM (S k ) It follows that LM (C(T LM (S k ) M ) 1 # k )LM (S k ) which is since the length of is (1 # k )LM (S k ....

Turing, A. M. On computable numbers, with an application to the Entscheidungsproblem. Proc. London Math. Soc. {2} 42 (1936--37), 230--265; Correction, ibid., 43 (1937), 544--546.


Polymorphic Time Systems for Estimating Program - Complexity Vincent Dornic   (Correct)

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Turing, A. M. On computable numbers, with an application to the Entscheidungsproblem, Proceedings of the London Mathematical Society, ser 2., vol. 42, 230-265; vol. 43, 544-546, (1936).


Unknown - Eugene Eberbach Comp   (Correct)

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Turing A., On Computable Numbers, with an Application to the Entscheidungsproblem, Proc. London Math. Soc., 42-2, 1936.


Fundamenta Informaticae 68 (2005) 47--102 47 IOS Press - Calculus Of Bounded   (Correct)

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Turing A., On Computable Numbers, with an Application to the Entscheidungsproblem, Proc. of the London Mathematical Society, ser.2, vol.42 , 1936-37, 230-265; corrections, Ibid, vol.43, 1937, 544-546.


The Algebra of - Finite State Processes   (Correct)

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A. M. Turing. On computable numbers, with an application to the entscheidungsproblem. Proceedings of the London Mathematical Society (second series), 42:230--265, 1937.


The Algebra of - Finite State Processes   (Correct)

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A. M. Turing. On computable numbers, with an application to the entscheidungsproblem. Proceedings of the London Mathematical Society (second series), 42:230--265, 1937.


Termination Proofs for Systems Code - Ron Cook Microsoft (2006)   (1 citation)  (Correct)

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A. Turing. On computable numbers, with an application to the Entscheidungsproblem. London Mathematical Society, 42(2):230-- 265, 1936.


On the Computational Power of a Continuous-Space Optical.. - Naughton, Woods   (Correct)

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A.M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society ser. 2, 42(2):230-- 265, 1936.


Why don't we practice what we teach? Engineering Software.. - Oboler, Squire, Korb (2003)   (Correct)

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A.M. Turing. On computable numbers, with an application to the entscheidungsproblem. Proceedings of the London Mathematical Society, 42:230-265, 1936.


Nonuniform Hard Boolean Functions and Uniform Complexity Classes - Kabanets (2001)   (Correct)

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A.M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of London Mathematical Society, 2(42):230-265, 1936. A correction, ibid., 43:544-546, 1937.


The New AI: General & Sound & Relevant for Physics - Schmidhuber (2003)   (Correct)

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A. M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, Series 2, 41:230{ 267, 1936.


Model Checking Data-Independent Systems With Arrays - Newcomb (2003)   (3 citations)  (Correct)

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A.M. Turing. On computable numbers, with an application to the entscheidungsproblem. In Proceedings of the London Mathematical Society, volume 42, pages 230-265, 1937.


Combining Decision Procedures - Manna, Zarba (2003)   (3 citations)  (Correct)

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A. M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, 42:230-265, 1936.


Design of an Autonomous DNA Nanomechanical Device.. - Yin, Turberfield..   (Correct)

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A. M. Turing. On computable numbers, with an application to the entscheidungsproblem. In Proc. London Math. Society Ser. II, volume 43, pages 544--546, 1937.


Design of an Autonomous DNA Nanomechanical Device.. - Yin, Turberfield..   (Correct)

No context found.

A. M. Turing. On computable numbers, with an application to the entscheidungsproblem. In Proc. London Math. Society Ser. II, volume 42 of 2, pages 230--265, 1936.


On the Computational Power of a Continuous-Space Optical.. - Naughton, Woods (2001)   (Correct)

No context found.

A.M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society ser. 2, 42(2):230-- 265, 1936.


Some Parallel Algorithms for Integer Factorisation - Brent (1999)   (5 citations)  (Correct)

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A. M. Turing, On computable numbers, with an application to the Entscheidungsproblem, Proc. London Math. Soc. (2) 42 (


Gödel Machines: Self-Referential Universal Problem Solvers.. - Schmidhuber (2003)   (Correct)

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A. M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, Series 2, 41:230-267, 1936.


Decomposition of Preemptive Scheduling in the Go!.. - Greg Law Julie (2000)   (Correct)

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A. M. Turing. On computable numbers, with an application to the entscheidungsproblem. Proceedings of the London Mathematical Society, Series 2(42):230-- 265, 1936-1937. 6


The Early Search for Tractable Ways of Reasoning About Programs - Jones (2003)   (Correct)

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A. M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, Series 2, 42:230--265, 1936. Correction published: ibid, 43:544--546, 1937.


On the Computational Power of a Continuous-Space Optical.. - Naughton, Woods   (Correct)

No context found.

A.M. Turing. On computable numbers, with an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society ser. 2, 42(2):230-- 265, 1936.


Some Parallel Algorithms for Integer Factorisation - Brent (1999)   (5 citations)  (Correct)

No context found.

A. M. Turing, On computable numbers, with an application to the Entscheidungsproblem, Proc. London Math. Soc. (2) 42 (


Trends in Software Verification - Holzmann (2003)   (Correct)

No context found.

A.M. Turing, On computable numbers, with an application to the Entscheidungsproblem, Proc. London Mathematical Soc.,Ser.2-42, 1936, pp. 230-265.


On Expressiveness of Evolutionary Computation: Is EC Algorithmic? - Eberbach (2002)   (Correct)

No context found.

Turing A., On Computable Numbers, with an Application to the Entscheidungsproblem, Proc. London Math. Soc., 42-2, 1936, 230-265.


A Minimum Encoding Approach to Document Clustering - Palin, Pasanen, Roos   (Correct)

No context found.

Turing A.M., \On computable numbers, with an application to the Entscheidungsproblem", in Proc. London Mathematical Society 2, Nr. 42, pp. 230-265, 1936.

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