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Progress in Computer-Assisted Inductive Theorem Proving by Human-Orientedness and Descente Infinie?
In this short position paper we briefly review the development history of
automated inductive theorem proving and computer-assisted mathematical
induction. We think that the current low expectations on progress in this field
result from a faulty narrow-scope historical projection. Our main motivation is
to explain--on an abstract but hopefully sufficiently descriptive level--why we
believe that future progress in the field is to result from human-orientedness
and descente infinie.Comment: ii + 35 page