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Let us consider V = {a, b, c, d, e} and F = (a ∨ b...

Let us consider V = {a, b, c, d, e} and F = (abcde) ∧ (¬a ∨ ¬b ∨ ¬c ∨ ¬d ∨ ¬e) ∧ (a ∨ ¬bd ∨ ¬e) ∧ (¬bc ∨ ¬e) ∧ (¬bc).

a) Is F a 3SAT propositional formula?

b) Find a 3SAT propositional formula F’ equivalent to F.

c) If you design a polynomial algorithm to find the truth assignments for F’, does that mean that you can find a polynomial algorithm to find the truth assignments for F, too?

Justify your answers.

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