The motivation is to reduce the number of instances generated by ematching. For example, given inv_inv: forall a, (a⁻¹)⁻¹ = a the new heuristic uses ((a⁻¹)⁻¹) as the pattern. This matches the intuition that inv_inv should be used a simplification rule. The default pattern inference procedure would use (a⁻¹). This is bad because it generates an infinite chain of instances whenever there is a term (a⁻¹) in the proof state. By using (a⁻¹), we get (a⁻¹)⁻¹ = a Now that we have (a⁻¹)⁻¹, we can match again and generate ((a⁻¹)⁻¹)⁻¹ = a⁻¹ and so on |
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algebra | ||
data | ||
examples | ||
init | ||
logic | ||
theories | ||
tools | ||
.gitignore | ||
.project | ||
library.md | ||
standard.lean |