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The Ninth International Conference on Interactive Theorem Proving (ITP)was held on July 9–12, 2018, in Oxford, UK, as part of the Federated Logic Conference. This special issue of the Journal of Automated Reasoning contains expanded versions of six papers from that conference, chosen by the program committee. All the papers chosen were rated highly in the usual conference review process, but that was not the sole criteria for inclusion. We also looked for work that would benefit from a more expanded, mature treatment, and we aimed for a representative sample of topics. The expanded versions were reviewed according to the usual standards of this journal. Of the six, two belong to the realm of formalized mathematics and verified mathematical computation:

Preface: Selected Extended Papers from Interactive Theorem Proving 2018