25UCU305 Discrete Mathematics with Probability and Hypothesis TestingNew Course

A university develops a smart evaluation system for checking student eligibility for an advanced course.

Let the propositions be:

  • p: Student has passed Internal Assessment
  • q: Student has passed External Exam
  • r: Student is eligible for advanced course

The system uses the logical rule:

r á”” (p á–§ q)

The system rule is modified as:
쮽쿉 (p ᖧ q) ᔒ r

a) Express this in CNF form
b) Check whether it is a tautology or not
c) Interpret the result in terms of eligibility system