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This is from GO Decidability slides.

I have a doubt with 3 & 4 which is saying every TM ACCEPT L since accepted implies that it rejects all which is not part of language.Why we are using ACCEPTED instead of the word RECOGNISED?

in Theory of Computation by (125 points) | 49 views
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"Accepted" does not imply that it "rejects" all other strings (decided is used for that). For example, when we say if a TM accept "w" - it is free to accept/reject any other word. But in the context of language and TM, "recognized" is a better word than "accepted". I have changed it in the slides.

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