To solve a problem, an ordinary computer system executes an existing program. When
no such program is available, an AGI system may still be able to solve a concrete problem
instance. This paper introduces a new approach to do so in a reasoning system that
adapts to its environment and works with insuffcient knowledge and resources. The related
approaches are compared, and several conceptual issues are analyzed. It is concluded that
an AGI system can solve a problem with or without a problem-specific program, and
therefore can have human-like creativity and exibility.
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