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Superposition with Structural Induction
[chapter]
<span title="">2017</span>
<i title="Springer International Publishing">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a>
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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
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... h space. We describe an implementation and present some promising results.
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