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how can we detect endless rewriting chain? #615

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yegor256 opened this issue Dec 5, 2024 · 2 comments
Open

how can we detect endless rewriting chain? #615

yegor256 opened this issue Dec 5, 2024 · 2 comments

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@yegor256
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yegor256 commented Dec 5, 2024

Let's assume I have an expression that can't be rewritten, because its rewriting leads to endless recursion:

{⟦ m ↦ ⟦ x ↦ ξ.t, t ↦ ξ.x ⟧.x ⟧}

Is it possible, with the help of normalizer, to confirm that this expression is not normalizable?

@yegor256
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yegor256 commented Dec 5, 2024

@fizruk @deemp please, help

@yegor256
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yegor256 commented Dec 5, 2024

@fizruk Maybe we can do this (on our side): run normalizer with --chain --max-depth=100 and then count the number of lines it produces. If the number is 100, we can be more or less confident that it didn't finish with a normal form. How does this sound?

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