Question

1. For each of the following Horn formulae, apply the greedy algorithm discussed in lecture to find a variable assignment that satisfies it, or state that the formula is not satisfiable. Show the full, step-by-step sequence of assignments made to solve the formula. a. (5 pts)(\(w \land y \land z\)) \implies x, (x \land z) \implies w, x \implies y, \implies x, (x \land y) \implies w, (\bar{w} \lor \bar{x} \lor \bar{y}), (z) b. (5 pts)(x \land z) \implies y, z \implies w, (y \land z) \implies x, \implies z, (z \lor \bar{x}), (\bar{w} \lor \bar{y} \lor z) c. (5 pts) \implies y, (x \land z) \implies w, (\bar{x} \lor \bar{y}), y \implies x

          1. For each of the following Horn formulae, apply the greedy algorithm discussed in lecture to find a variable assignment that
satisfies it, or state that the formula is not satisfiable. Show the full, step-by-step sequence of assignments made to solve the
formula.
a. (5 pts)(\(w \land y \land z\)) \implies x, (x \land z) \implies w, x \implies y, \implies x, (x \land y) \implies w, (\bar{w} \lor \bar{x} \lor \bar{y}), (z)
b. (5 pts)(x \land z) \implies y, z \implies w, (y \land z) \implies x, \implies z, (z \lor \bar{x}), (\bar{w} \lor \bar{y} \lor z)
c. (5 pts) \implies y, (x \land z) \implies w, (\bar{x} \lor \bar{y}), y \implies x

1. For each of the following Horn formulae, apply the greedy algorithm discussed in lecture to find a variable assignment that
satisfies it, or state that the formula is not satisfiable. Show the full, step-by-step sequence of assignments made to solve the
formula.
a. (5 pts)(w y z) x, (x z) w, x y, x, (x y) w, (w̅ x̅ y̅), (z)
b. (5 pts)(x z) y, z w, (y z) x, z, (z x̅), (w̅ y̅ z)
c. (5 pts) y, (x z) w, (x̅ y̅), y x

Added by Amy C.

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