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- discrete mathematics - Show that (p ∧ q) → (p ∨ q) is a tautology . . .
Show that (p ∧ q) → (p ∨ q) is a tautology The first step shows: (p ∧ q) → (p ∨ q) ≡ ¬(p ∧ q) ∨ (p ∨ q) I've been reading my text book and looking at Equivalence Laws I know the answer to this but I don't understand the first step How is (p ∧ q)→ ≡ ¬(p ∧ q)? If someone could explain this I would be extremely
- Why is SATISFIABLE the complement of TAUTOLOGY?
If the yes answers for SATISFIABLE are changed to no, then SATISFIABLE is transformed to NOT-TAUTOLOGY, and vice versa If the yes answers for TAUTOLOGY are changed to no, then TAUTOLOGY is transformed to NOT-SATISFIABLE, and vice versa Hence SATISFIABLE is equivalent to NOT-TAUTOLOGY, and TAUTOLOGY is equivalent to NOT-SATISFIABLE
- Is A∨¬A a tautology when there is a proof (by contradiction)?
$\begingroup$ @NickRosencrantz A tautology is a statement which truth table is always true A logical truth is a statement that is always true after you interpret its meaning
- How do I show a statement is a tautology in the Booleans algebra
Show that $(p \rightarrow q) \land (q \rightarrow r) \rightarrow (p \rightarrow r)$ is a tautology 0 Discrete Mathematics - Show that a conditional statement is a tautology
- How to prove this is a tautology - Mathematics Stack Exchange
$\begingroup$ Is somebody demanding a proof from you? If so, you need to tell us which particular formal proof system they want you to use -- there are many possible ones which are structured quite differently (even though they prove the same things), and a hint that works with one may well be useless for another system
- How can I use a truth table to show that this is a tautology?
To make a truth table, you make columns for all the variables and rows for all combinations of truth values of the variables Then you make as many columns as you want to assess the truth value of the statement in question If you want to prove something a tautology, it must be true for all values of the truth value of the variables
- logic - How to determine if statement is a tautology, contradiction, or . . .
Use logical equivalencies to classify as tautology, contradiction, or contingency 2 Show that the conditional statement is a tautology without using a truth table
- What is the Conjunction Normal Form of a tautology?
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