1 Propositions and formulas
For each of the following formulas, create a truth table and decide whether the proposition is a tautology, a contradiction, or contingent. Also state whether the formula is satisﬁable or not.
a) p∧(q∨p) (1 mark) b) ((p → q)∧¬q) → p (1 mark) c) (p∨q) ↔¬(¬p∧¬q) (1 mark)
2 Logical equivalence
a) Use a truth table to demonstrate that p∧(q∨r) ≡ (p∧q)∨(p∧r).
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