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Does Avatar Modal Logic make sense? #559

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bvssvni opened this issue Nov 11, 2022 · 1 comment
Open

Does Avatar Modal Logic make sense? #559

bvssvni opened this issue Nov 11, 2022 · 1 comment

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@bvssvni
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bvssvni commented Nov 11, 2022

In the last update (v0.33), I moved the old "modal" module to "ava_modal" and renamed it "Avatar Modal Logic" to avoid confusion with the new S5 Modal Logic.

The reason Avatar Modal Logic was derived the way it is, was because HOOO EP was too strong. However, now that some dual axioms requires excluded middle, it is a good to revisit Avatar Modal Logic and rethinking the design.

The idea behind Avatar Modal Logic might be sound, but it is not necessarily that the current design is the best one.

In particular, I am concerned about how decidability interacts with the API.

@bvssvni
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bvssvni commented Dec 2, 2022

It is provable that:

false^(false^p)) == !!p == !(false^p)

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