Logical function
From Encyclopedia of Mathematics
An 
-place function defined on the set of truth values (cf. Truth value) 
and taking values in this set. With every logical operation 
is associated a logical function 
: If 
are truth values, then 
is the truth value of the proposition 
, where 
are propositions such that the truth value of 
is equal to 
, 
.
A logical function is sometimes defined as an 
-place function defined on a set 
and taking values in the set 
. Such functions are used in mathematical logic as an analogue of the concept of a predicate.
How to Cite This Entry:
Logical function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Logical_function&oldid=19211
Logical function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Logical_function&oldid=19211
This article was adapted from an original article by V.E. Plisko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article