Automated Mathematical Induction

@article{Bouhoula1995AutomatedMI,
  title={Automated Mathematical Induction},
  author={Adel Bouhoula and Emmanuel Kounalis and Micha{\"e}l Rusinowitch},
  journal={J. Log. Comput.},
  year={1995},
  volume={5},
  pages={631-668}
}
Proofs by induction are important in many computer science and artifical intelligence applications, in particular, in program verification and specification systems. We present a new method to prove (and disprove) automatically inductives properties. Given a set of axioms, a well-suited induction scheme is constructed automatically. We call such and induction scheme a test set. Then, for proving a property, we just instantiate it with terms from the test set and apply pure algebraic… 

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