Partial proofs and partial answers

by Philip Klahr

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In many cases an automatic deduction system cannot find complete proofs for particular theorems, goals, or questions requiring deductive support. In some cases information needed to complete proofs is missing from the database. In other cases processing limits may have been reached before proofs could be completed. Rather than disregarding such partial proofs as most systems do, the DADM system displays them to users and identifies subgoals that remain unresolved. Missing information is given in the form of partial, or conditional, answers. Examples are presented to show the value and importance of such partial proofs and partial answers.

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