Proof of Conway’s lost cosmological theorem
@article{Ekhad1997ProofOC, title={Proof of Conway’s lost cosmological theorem}, author={Shalosh B. Ekhad and Doron Zeilberger}, journal={Electronic Research Announcements of The American Mathematical Society}, year={1997}, volume={3}, pages={78-82} }
John Horton Conway's Cosmological Theorem, about Audioactive sequences, for which no extant proof existed, is given a computer-generated proof, hopefully for good.
12 Citations
Spiral chains: A new proof of the four color theorem
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Acceptable, but due to extensive usage of a computer rather unpleasant proof ofthe famous four color map problem of Francis Guthrie were settled eventually byW. Appel and K. Haken in 1976 [1]. Using…
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In [C], Conway introduced an operator on strings (finite sequences) of positive integers, the audioactive (or “look and say”) operator. Usually, the integers involved are single digit numbers, and a…
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It is proved that the look-and-say again sequence contains only the digits $1, 2, 4, 6, d$, where $d$ represents the starting digit.
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In this paper we consider a variant of Conway's sequence (OEIS A005150, A006715) defined as follows: the next term in the sequence is obtained by considering contiguous runs of digits, and rewriting…
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This paper presents an approach to the implementation of the abstract interpretation style of program analysis by first constructing a logic for representing the process of abstract analysis, and…
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A recent study by the Wall Street Journal reveals that the hydrofractured horizontal wells in shales have been producing less than the industrial forecasts with the empirical hyperbolic decline curve…
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E-mail address: zeilberg@math.temple.edu
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