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5.2 A Simple Undecidable Problem

定理5.15(PCP)

Post Correspondence Problem:Begin with a collection of dominos. The task is to make a list of given deminos***(repetitions permitted)*** so that the string we get by reading off the symbols on the top is the same as the string of symbols on the bottom. This list is called a match.

$$PCP={

|P$$ is an instance of the PCP with a match$$}$$

$$PCP$$ is undecidable.

PCP是Turing-recognizable的,只要从1开始枚举所有不同长度的排列,如果存在解则一定能accept

证明方法:computation histories

TODO