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The use of the abstraction in resolution theorem proving is proposed in order to obtain some global proof plans. Then the problem is how to avoid the false proof. We give a new definition of the shape...s of proofs so that we can make use of unifiers occurring in the proofs and discuss some typical abstractions. Then we can clarify that such abstractions are concerned with the unifiers. Moreover, we can give a complete strategy with matching. Our formalization will be useful to the further discussions on abstractions.show more
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