FCS assignment 14 sep

 UNIT_1

Assignment 1

Submission Date 14_09_2020

Q1. What are predicate and Quantifiers?

Q2. Differentiate between

a) CNF and PCNF

b) DNF and PDNF

Q3. Explain proof by contrapositive with example.

Q4. Check the logical equivalence for the given statements.

a) p ∨ q ≡ q ∨ p b) ¬(p ∧ q) ≡ ¬p ∨ ¬q c) (p ∨ q) ∨ r ≡ p ∨ (q ∨ r)

Q5.

Let P: We should be honest.,

Q: We should be dedicated.,

R: We should be overconfident.

Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?

Q6. What do you mean by logical inference and explain the concept of modus ponnens and modus tollens?

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