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Use 1-avatar for ◇a #468

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bvssvni opened this issue Oct 4, 2022 · 0 comments
Open

Use 1-avatar for ◇a #468

bvssvni opened this issue Oct 4, 2022 · 0 comments
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bvssvni commented Oct 4, 2022

Currently, with ◇a == ⊥^(⊥^a), it is possible to prove ¬◇a == ◇¬a.

By wrapping ◇a in a new-type (1-avatar), it is possible to prevent proving ¬◇a == ◇¬a.

The relation between HOOO and Modal Logic becomes like the relation between Möbius Topologies and Hypercubes in Avatar Extensions. See section about Avatar Semantics.
bvssvni added a commit to bvssvni/prop that referenced this issue Oct 4, 2022
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Use 1-avatar for ◇a
7a97efc 
See advancedresearch#468
@bvssvni bvssvni mentioned this issue Oct 4, 2022
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