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arXiv · 1703.05215

Algebraic Foundations of Proof Refinement

Jonathan Sterling·Robert Harper
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Abstract

We contribute a general apparatus for dependent tactic-based proof refinement in the LCF tradition, in which the statements of subgoals may express a dependency on the proofs of other subgoals; this form of dependency is extremely useful and can serve as an algorithmic alternative to extensions of LCF based on non-local instantiation of schematic variables. Additionally, we introduce a novel behavioral distinction between refinement rules and tactics based on naturality. Our framework, called Dependent LCF, is already deployed in the nascent RedPRL proof assistant for computational cubical type theory.

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Jonathan Sterling, Robert Harper. 2017-03-15. Algebraic Foundations of Proof Refinement. https://arxiv.org/abs/1703.05215

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