Generation and analysis of lamplighter programs

July 09, 2017 · The Ethereal · 🏛 arXiv.org

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Authors Carlos Martin arXiv ID 1707.02652 Category cs.DM: Discrete Mathematics Cross-listed cs.FL, cs.PL, math.CO, math.GR Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
We consider a programming language based on the lamplighter group that uses only composition and iteration as control structures. We derive generating functions and counting formulas for this language and special subsets of it, establishing lower and upper bounds on the growth rate of semantically distinct programs. Finally, we show how to sample random programs and analyze the distribution of runtimes induced by such sampling.
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