Theory Exploration of Binary Trees

Isabela Dramnesc (1) , Tudor Jebelean (2) , Sorin Stratulat (3)

1 UVT - Universitatea de Vest din Timișoara [România] = West University of Timișoara [Romania] = Université Ouest de Timișoara [Roumanie]
2 RISC - Research Institute for Symbolic Computation
3 LITA - Laboratoire d'Informatique Théorique et Appliquée

The construction of a theory for binary trees is presented, based on the systematic exploration of the properties necessary for the proof-based synthesis and certification of sorting algorithms for binary trees. The process is computer supported, being realised in the frame of the Theorema system, with some additional proofs in Coq required for algorithm certification. The result of the exploration consists in 11 definitions, 3 axioms, and more than 200 properties. Also, more than 5 algorithms for sorting binary trees are generated.

Mots clés: automated reasoning; theory exploration; binary trees; Theorema; Coq

Domaines: Calcul formel [cs.SC]

Isabela Dramnesc, Tudor Jebelean, Sorin Stratulat. Theory Exploration of Binary Trees. 13th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2015, Sep 2015, Subotica, Serbia. pp.139-144. ⟨hal-01235173⟩