Exact satisfiability and phase transition analysis of the regular (k,d)-CNF formula

Guoxia NIE , Daoyun XU , Xi WANG , Zaijun ZHANG

Front. Comput. Sci. ›› 2024, Vol. 18 ›› Issue (1) : 181405

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Front. Comput. Sci. ›› 2024, Vol. 18 ›› Issue (1) : 181405 DOI: 10.1007/s11704-023-3402-4
Theoretical Computer Science
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Exact satisfiability and phase transition analysis of the regular (k,d)-CNF formula

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Guoxia NIE, Daoyun XU, Xi WANG, Zaijun ZHANG. Exact satisfiability and phase transition analysis of the regular (k,d)-CNF formula. Front. Comput. Sci., 2024, 18(1): 181405 DOI:10.1007/s11704-023-3402-4

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Fan Y, Shen J . On the phase transitions of random k-constraint satisfaction problems. Artificial Intelligence, 2011, 175( 3−4): 914–927

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Drori L, Peleg D. Faster solutions for exact hitting and exact SAT. Jerusalem: Weizmann Science Press of Israel, 1999

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Byskov J M, Madsen B A, Skjernaa B . New algorithms for Exact Satisfiability. Theoretical Computer Science, 2005, 332( 1−3): 515–541

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Moore C. The phase transition in random regular exact cover. Annales del' Institut Henri Poincare D 2016, 3(3): 349-362

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Mitzenmacher M, Upfal E. Probability and Computing: Randomized Algorithms and Probabilistic Analysis. Cambridge: University of Cambridge, 2005

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