Splitting a Context-Sensitive Set

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We prove that if A is an infinite, coinfinite context-sensitive set, there exists adeterministic context-sensitive set B such that each of the four sets Download : Download full-size image, Download : Download full-size image is infinite. This result points up a major difference between the inclusion lattices of the context-sensitive and recursively enumerable sets.

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论文评审过程:Received 13 August 1973, Available online 27 December 2007.

论文官网地址:https://doi.org/10.1016/S0022-0000(75)80016-X