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C00002 00002 PROVER is an implementation of a resolution-based first-order theorem
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PROVER is an implementation of a resolution-based first-order theorem
prover. The basic philosphy and the structure of this program were
described in "An Interactive Theorem-proving Program", Allen &
Luckham, MI5 (1970); SAILON-73 is a user's manual and gives a
detailed description of the latest system. Essentially the user is
supplied with a reasonably standard mathematical notation for
specifying the problem and a simple language for describing the
strategies to guide the proof. The user may interrupt the proof
search at any time and use the on-line facilities to further guide
the prover. The on-line editor allows the user to associate names
with collections of deductions. The collecting can be done by
pattern matching or by explicit user-selection. These collections can
then be used by: commands to modify the current set of deductions
(delete, simplify by ...); rules of inference (resolution, or
paramodulation); or by commands to initiate sub-proofs.