Integration Problem
المؤلف:
Richardson, D.
المصدر:
"Some Unsolvable Problems Involving Elementary Functions of a Real Variable." J. Symbolic Logic 33
الجزء والصفحة:
514-520
20-7-2020
1285
Integration Problem
Let 
be a set of expressions representing real, single-valued partially defined functions of one real variable. Let 
be the set of functions represented by expressions in 
, where 
contains the identity function and the rational numbers as constant functions and that 
is closed under addition, multiplication, and composition. If 
is an expression in 
, then let 
be the function denoted by 
.
Then the integration problem for 
is the problem of deciding, given 
in 
, whether there is a function 
in 
so that 
(Richardson 1968).
REFERENCES:
Richardson, D. "Some Unsolvable Problems Involving Elementary Functions of a Real Variable." J. Symbolic Logic 33, 514-520, 1968.
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