Sadaf
  • Sadaf
Q.3. The logical operator "" is read "if and only if". PQ is defined as being equivalent to (P→Q) ˄ (Q→P). Based on this definition, show that PQ is logically equivalent to (P˅Q) → (P˄Q): a. by using truth tables. Q.4. Prove that implication is transitive in the propositional calculus, that is, that ((P→Q) ˄(Q→R)) → (P→R))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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experimentX
  • experimentX
what does ˄ and ˅ mean ?? 'and' and 'or'
experimentX
  • experimentX
and i guess -> means implies ... right??
Sadaf
  • Sadaf
right

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experimentX
  • experimentX
P Q P&Q 0 0 0 0 1 0 1 0 0 1 1 1 since P <-> Q P Q P'or'Q 0 0 0 0 1 0 (one of them implies other so it must be false.) 1 0 0 1 1 1
Sadaf
  • Sadaf
this is the ans. of Q.3 ?
experimentX
  • experimentX
i guess so ... though not so i am not so sure!!!
experimentX
  • experimentX
P Q R P->Q Q->R (P->R^Q->R) P->R 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 must be something like this ....

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