摘要:In this paper we show that the Mastermind Satisfiability Problem (MSP) is NPcomplete.
Mastermind is a popular game which can be turned into a logical puzzle called
the Mastermind Satisfiability Problem in a similar spirit to the Minesweeper puzzle [5].
By proving that MSP is NP-complete, we reveal its intrinsic computational property that
makes it challenging and interesting. This serves as an addition to our knowledge about
a host of other puzzles, such as Minesweeper [5], Mah-Jongg [1], and the 15-puzzle [6].