Every lion chases some gazelle. Every gazelle who is old is smart. No lion catches any smart gazelle. Any lion who chases some gazelle but does not catch it is hungry. 1(a) Convert the statements above into a set of predicate formulae. 1(b) Convert the predicate formulae from Question 1(a) into Prenex Conjunctive Normal Form (PCNF). 1(c) Using General Resolution, prove that if all gazelles are old then all lions are hungry.

Every lion chases some gazelle. Every gazelle who is old is smart. No lion catches any smart gazelle. Any lion who chases some gazelle but does not catch it is hungry. 1(a) Convert the statements above into a set of predicate formulae. 1(b) Convert the predicate formulae from Question 1(a) into Prenex Conjunctive Normal Form (PCNF). 1(c) Using General Resolution, prove that if all gazelles are old then all lions are hungry.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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