Towards Automated Readable Proofs ofRuler and Compass Constructions

Although there are several systems that successfully generate construction steps for ruler and com-pass construction problems, none of them provides readable synthetic correctness proofs for gener-ated constructions. In the present work, we demonstrate how our triangle construction solver Ar-goTriCS can cooperate with automated theorem provers for first order logic and coherent logic sothat it generates construction correctness proofs, that are both human-readable and formal (can bechecked by interactive theorem provers such as Coq or Isabelle/HOL). These proofs currently relyon many high-level lemmas and our goal is to have them all formally shown from the basic axiomsof geometry.