Mathematical logic and foundations Definition
Disjunctive normal form
Definition
A literal is a propositional variable or its negation . A formula of propositional logic is in disjunctive normal form if it is a disjunction of one or more conjunctions of one or more literals.
Remarks
Example: is in disjunctive normal form. Every formula is logically equivalent to a formula in disjunctive normal form. For a formula that is not a contradiction, take one conjunction for each row of the truth table where it is true. A consequence: the connectives , and are functionally complete.
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| Tag | 06S4WGSEQA |
|---|---|
| URI | m2://06S4WGSEQA |
| Kind | definition |
| Writing | W1 stated |
| MSC | 03B05 |
| Defines | Disjunctive normal form |
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What this page needs for W2
- edge instance_of in: one example (0 of 1)
- edge not_instance_of in: one non-example that fails one clause (0 of 1)
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