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4.30 Let A be a Turing-recognizable language consisting of descriptions of Turing ma- chines, ((M1), (M2), ...), where every M, is a decider. Prove that some decidable language D is not decided by any decider M, whose description appears in A. (Hint: You may find it helpful to consider an enumerator for A.)

4.30 Let A be a Turing-recognizable language consisting of descriptions of Turing ma- chines, ((M1), (M2), ...), where every M, is a decider. Prove that some decidable language D is not decided by any decider M, whose description appears in A. (Hint: You may find it helpful to consider an enumerator for A.)

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter13: Overloading And Templates
Section: Chapter Questions
Problem 29SA
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4.30 Let A be a Turing-recognizable language consisting of descriptions of Turing ma- chines, ((M1), (M2), ...), where every M, is a decider. Prove that some decidable language D is not decided by any decider M, whose description appears in A. (Hint: You may find it helpful to consider an enumerator for A.)
Transcribed Image Text:4.30 Let A be a Turing-recognizable language consisting of descriptions of Turing ma- chines, ((M1), (M2), ...), where every M, is a decider. Prove that some decidable language D is not decided by any decider M, whose description appears in A. (Hint: You may find it helpful to consider an enumerator for A.)
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