Construct a truth table for (p V (~p V q))^ ~ (q^ ~ r).
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- Let R=ABCDEGHK and F= {ABK→C, A→DG, B→K, K→ADH, H→GE} . Is it in BCNF? Prove your answer.show that t ↔ ~q is logically equivalent to (t v ~q) → (~t ∧ q) without using a truth table.(a) Given a DFA M = (Q, Σ, δ, q0, F), consider M' = (Q, Σ, δ, q0, F'), where F' = Q − F. Prove that L(M') is the complement of L(M). (b) Give a counter-example to show that the above construction with NFAs does not (always) yield the complement.
- Construct truth table and identify if it’s tautology, contradiction, or contingency. (a) [(p V q) ∧ r] → [(p V r) ∧ (q V r)] (b) ((p → r) Ʌ (r → q)) → (q → p)Are "p ∨ q ∧ r" and "(p ∨ q)∧(p ∨ r)" logically equivalent? Show your truth tableHow to construct a truth table for ~[ (p ↔ q) ^ (r v ~p) ] → ~q?
- Use a truth table to show that ((P ⇒ Q) ∨ (¬R ⇒ ¬P)) ∧ P equals¬(P ⇒ (¬Q ∧ ¬R)).Construct a truth table for each proposition. a.) [(p ∧ q) ∨ r ] ↔ [(p ∧ r ) ∨ (q ∧ r )] b.) [(p ∧ r ) → (q ∧ ¬r )] → [(p ∧ q) ∨ r )]Find the computational complexity of a full jackknife estimate of accuracy and variance for an unpruned nearest-neighbor classifier (Chap.?? ).