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truth function (Definition)

A truth function is a function that returns one of two values, one of which is interpreted as “true,” and the other which is interpreted as “false”. Typically either “T” and “F” are used, or “1” and “0”, respectively. Using the latter, we can write

$\displaystyle f : \{0,1\}^n \rightarrow \{0,1\}$
defines a truth function $ f$. That is, $ f$ is a mapping from any number ($ n$) of true/false (0 or 1) values to a single value, which is 0 or 1.



"truth function" is owned by akrowne.
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Cross-references: mapping, function
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This is version 3 of truth function, born on 2001-10-24, modified 2005-02-28.
Object id is 483, canonical name is TruthFunction.
Accessed 5732 times total.

Classification:
AMS MSC03B05 (Mathematical logic and foundations :: General logic :: Classical propositional logic)

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