'Blank tape halting problem' presentation slideshows

Blank tape halting problem - PowerPoint PPT Presentation

Reductions

Reductions

Reductions. Problem is reduced to problem. If we can solve problem then we can solve problem. Definition:. Language is reduced to language There is a computable function ( reduction ) such that:. Recall:. Computable function :.

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Reductions

Reductions

Reductions. Computable function :. There is a deterministic Turing machine. which for any input string computes and writes it on the tape. Problem is reduced to problem. If we can solve problem then we can solve problem. Definition:. Language

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Reducibility

Reducibility

Reducibility. Problem is reduced to problem. If we can solve problem then we can solve problem. Problem is reduced to problem. If is decidable then is decidable. If is undecidable then is undecidable. the halting problem. Example:. is reduced to.

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Reducibility

Reducibility

Reducibility. Problem is reduced to problem. If we can solve problem then we can solve problem. Problem is reduced to problem. If is decidable then is decidable. If is undecidable then is undecidable. Example:. the halting problem. is reduced to.

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Reducibility

Reducibility

Reducibility. Problem is reduced to problem. If we can solve problem then we can solve problem. Problem is reduced to problem. If is decidable then is decidable. If is undecidable then is undecidable. Example:. the halting problem. is reduced to.

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557 views • 44 slides
Decidability and Partial Decidability

Decidability and Partial Decidability

Decidability and Partial Decidability. An alphabet is a finite set of symbols . Example: a,b,c are symbols; {a,b,c} is an alphabet. Example: 0,1 are symbols; {0,1} is an alphabet. ? (Sigma) represents an alphabet. A string over ? is a sequence of symbols from ?.

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