NOUN | a tautology | tautologies | |
NOUN article.ind sg | pl
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- In the case of simply typed lambda calculus, a type has an inhabitant if and only if its corresponding proposition is a tautology of minimal implicative logic.
- In this case, a useful technique is to presume that the formula is not a tautology and attempt to find a valuation which makes it false.
- A propositional formula is a tautology if it is true under every valuation (or interpretation) of its predicate symbols.
- Negation, Logical biconditional, exclusive or, tautology, and contradiction are linear functions.
- In the following truth table the column labelled "taut" for tautology evaluates logical equivalence (symbolized here by ≡) between the two columns labelled d.
- Occasionally, two synonymous nouns can form a compound noun, resulting in a tautology. One example is the English word "pathway".
- By implying more than is said, it is distinguished from tautology and understatement.
- A formula is a tautology of paraconsistent logic if it is true in every valuation which maps atomic propositions to {"t", "b", "f"}.
- Strong mathematical theories such as ZFC induce propositional proof systems as well: a proof of a tautology [...] in a propositional interpretation of ZFC is a ZFC-proof of a formalized statement ' [...] is a tautology'.
- Warning: (("x"→"y")→"a")→"x" is "not" a tautology. However, [...]→[...] is a tautology.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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