Show that one-short is in np by sketching a polynomial time

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Reference no: EM132084516

NP.

Let ONE-SHORT = {F | F is a 3cnf-formula where some assignment satisfies all but one clause}

• Show that ONE-SHORT is in NP by sketching a polynomial time verifier for it.

• Show that ONE-SHORT is NP-hard by giving a polynomial time reduction from 3SAT.

Hint: Remember that the input for 3SAT F needs to be converted to an input for ALMOST-3SAT F 0 such that F ? 3SAT ? F 0 ? ONE-SHORT

Reference no: EM132084516

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