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Prove that each of the following problems is undecidable. Each problem receives a single program P as input. (a) EMPTYONEMPTY: Does P() = ? (b)

Prove that each of the following problems is undecidable. Each problem receives a single program P as input.

(a) EMPTYONEMPTY: Does P() = ?

(b) GAGAONEMPTY: Does P() = GAGA?

(d) YESONGAGA: Does P(GAGA) = yes?

(e) LONGERTHAN3ONALL: Is |P(I)| > 3 for all I?

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