Recent Question

Describe all your steps carefully. It is the process that counts - even a correct solution without the described proof gets zero credit. Please write intelligibly.
Name: Date:
1. Is the following formula satisfiable?
(¬A ? (B ? C)) ?¬(C ? (A ? B))
2. For every pair of the following formulas, decide whether one follows from the other, or the other way round.
(A ? B) ? C
(A ? C) ? (B ? C)
(A ? C) ? (B ? C)
3. Find a formula using just the connectives ¬,? which is equivalent to the following formula.
(A ?¬B) ?¬(C ?¬(A ? B))
4. Find the disjunctive normal form of the formula (A ? (D ?¬E)) ? (C ?¬(A ? B)). Using this normal form, decide whether the formula is a consequence of (¬(E ? D)) ? A.
5. Is there a propositional formula ? using the variables A,B,C such that both ? ? (A?¬B ?C) and ? ?¬(A ? B) are tautologies?

Recent Questions

Disclaimer : provides assignment and homework help for guidance and reference purpose only. These papers are not to be submitted as it is. These papers are intended to be used for research and reference purposes only.