2. Use Resolution Algorithm to solve the following problem: KB includes these rules: $B \land C \implies A$ B $D \land E \implies C$ $E \lor F$ $D \land \neg F$ The query is A. Can we infer this query from KB? 3. KB includes these rules: $P \implies Q$ $E \implies B$ $R \implies Q$ $M \land N \implies Q$ $A \land B \implies P$ $A \implies M$ $C \implies M$ $D \implies N$ D A Use both Forward Chaining and Backward Chaining to prove Q, respectively.
Added by Bego-A H.
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Step 1
Convert the rules and query into clauses: - Rule 1: BACADAE => C becomes ¬B ∨ ¬A ∨ ¬C ∨ ¬A ∨ ¬D ∨ ¬A ∨ ¬E ∨ C - Rule 2: EVF D^-F becomes ¬E ∨ ¬V ∨ ¬F ∨ D ∨ ¬F - Query: A becomes ¬A Show more…
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i dont know how to solve this
Jessica H.
Question 2 (30 pts) Determine whether each rule given below is valid or not. Explain your answer. Then prove one of the valid rules using inference rules of predicate logic. 1. ∀x.P(a,x) ∧ Q(x,a) → P(x,a) ∀y.P(y,b) ∨ Q(a,y) → Q(b,y) --------------------------------------------------------- P(a,b) → Q(a,b) 2. ∀x.P(a,x) ∧ Q(x,a) → P(x,a) ∀y.P(y,b) ∨ Q(a,y) → Q(b,y) --------------------------------------------------------- P(a,b) → P(b,a) 3. ∀x.P(a,x) ∧ Q(x,a) → P(x,a) ∀y.P(y,b) ∨ Q(a,y) → Q(b,y) --------------------------------------------------------- Q(a,b) → P(b,a) 4. ∀x.P(a,x) ∧ Q(x,a) → P(x,a) ∀y.P(y,b) ∨ Q(a,y) → Q(b,y) --------------------------------------------------------- Q(a,b) → ∃z.Q(z,z)
Adi S.
3) If A and B are finite sets and A × B = ∅, then what can you conclude about the sets A and B? Justify your answer. 4) Suppose that P, Q, and R are sets such that P ⊆ Q and Q ⊆ R. Show that P ⊆ R. What inference rule do you need?
Likhit G.
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