A Sublinear Sudoku Solution in cP Systems and its Formal Verification
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LIU, Yezhou, NICOLESCU, Radu, SUN, Jing, HENDERSON, Alec. A Sublinear Sudoku Solution in cP Systems and its Formal Verification. In: Computer Science Journal of Moldova, 2021, nr. 1(85), pp. 3-28. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 1(85) / 2021 / ISSN 1561-4042 /ISSNe 2587-4330

A Sublinear Sudoku Solution in cP Systems and its Formal Verification

CZU: 004+510+519.1
MSC 2010: 68Q07, 68N30.

Pag. 3-28

Liu Yezhou, Nicolescu Radu, Sun Jing, Henderson Alec
 
University of Auckland
 
 
Disponibil în IBN: 24 aprilie 2021


Rezumat

Sudoku is known as a NP-complete combinatorial numberplacement puzzle. In this study, we propose the first cP system solution to generalised Sudoku puzzles with m×m cells grouped in m blocks. By using a fixed constant number of rules, our cP system can solve all Sudoku puzzles in sublinear steps. We evaluate the cP system and discuss its formal verification.

Cuvinte-cheie
cP systems, P systems, Sudoku problem, NPcomplete problem, Formal verification