Superposition with Structural Induction [chapter]

Simon Cruanes
<span title="">2017</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Superposition-based provers have been successfully used to discharge proof obligations stemming from proof assistants. However, many such obligations require induction to be proved. We present a new extension of typed superposition that can perform structural induction. Several inductive goals can be attempted within a single saturation loop, by leveraging AVATAR [1] . Lemmas obtained by generalization or theory exploration can be introduced during search, used, and proved, all in the same
more &raquo; ... h space. We describe an implementation and present some promising results.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="">doi:10.1007/978-3-319-66167-4_10</a> <a target="_blank" rel="external noopener" href="">fatcat:jzgkbftdsvdsthbtkxg4ipmeqm</a> </span>
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