A probabilistic extension to Conway’s Game of Life
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DOI: 10.1007/s10444-019-09696-8
Abstract: The “Game of life” model was created in 1970 by the mathematician John Horton Conway using cellular automata. Since then, different extensions of these cellular automata have been used in many applications. In this work,… read more here.
Keywords: cellular automata; life; probabilistic extension; game life ... See more keywords
A Probabilistic Extension of Action Language ${\cal BC}$+}$
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DOI: 10.1017/s1471068418000303
Abstract: Abstract We present a probabilistic extension of action language ${\cal BC}$+$. Just like ${\cal BC}$+$ is defined as a high-level notation of answer set programs for describing transition systems, the proposed language, which we call… read more here.
Keywords: action language; probabilistic extension; extension action; extension ... See more keywords
Recurrence for probabilistic extension of Dowling polynomials
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DOI: 10.1515/math-2025-0150
Abstract: Abstract Spivey found a remarkable recurrence relation for Bell numbers, which was generalized to that for Bell polynomials by Gould-Quaintance. The aim of this article is to generalize their recurrence relation for Bell polynomials to… read more here.
Keywords: probabilistic extension; dowling polynomials; extension dowling; recurrence ... See more keywords