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In this short position paper we briefly review the development history ofautomated inductive theorem proving and computer-assisted mathematicalinduction. We think that the current low expectations on progress in this fieldresult from a faulty narrow-scope historical projection. Our main motivation isto explain--on an abstract but hopefully sufficiently descriptive level--why webelieve that future progress in the field is to result from human-orientednessand descente infinie.

Progress in Computer-Assisted Inductive Theorem Proving by Human-Orientedness and Descente Infinie?