linear function
A recursive function is linear if it is of the form
f x = if p x then q x else h f x
where h is a "linear functional" which means that
(1) for all functions, a, b c and some function ht
h (if a then b else c) = if ht a then h b else h c
Function ht is known as the "predicate transformer" of h.
(2) If for some x,
h (\ y . bottom) x /= bottom
then
for all g, ht g x = True.
I.e. if h g x terminates despite g x not terminating then ht g x doesn't
depend on g.
See also linear argument.
(1995-02-15)
Nearby terms:
linear address space « linear argument « linear
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linear function » Linear Graph Notation » linear
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