Conditional Lemma Discovery and Recursion Induction in Hipster.
Paper in proceedings, 2015

Hipster is a theory exploration tool for the proof assistant Isabelle/HOL. It automatically discovers lemmas about given recursive functions and datatypes and proves them by induction. Previously, only equational properties could be discovered. Conditional lemmas, for example required when reasoning about sorting, has been beyond the scope of theory exploration. In this paper we describe an extension to Hipster to also support discovery and proof of conditional lemmas. We also present a new automated tactic, which uses recursion induction. Recursion induction follows the recursive structure of a function definition through its termina- tion order, as opposed to structural induction, which follows that of the datatype. We find that the addition of recursion induction increases the number of proofs completed automatically, both for conditional and equational statements.

Author

Moa Johansson

Chalmers, Computer Science and Engineering (Chalmers), Software Technology (Chalmers)

Irene Lobo Valbuena

Chalmers, Computer Science and Engineering (Chalmers)

Proceedings of the International Workshop on Automated Verification of Critical Systems (AVoCS). Electronic Communications of the EASST.

Vol. 72

Areas of Advance

Information and Communication Technology

Subject Categories

Computer and Information Science

DOI

10.14279/tuj.eceasst.72.1009.1000

More information

Latest update

5/30/2018