8000 Make sym-blocks constructible congruent · Issue #243 · advancedresearch/hooo · GitHub
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Make sym-blocks constructible congruent #243

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bvssvni opened this issue Nov 5, 2023 · 2 comments
Open

Make sym-blocks constructible congruent #243

bvssvni opened this issue Nov 5, 2023 · 2 comments
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@bvssvni
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bvssvni commented Nov 5, 2023 •
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Currently, there is no common axiom scheme for normal and tautological congruence of sym-blocks.

This means that the user needs to add edge case axioms.

In order to avoid this, an axiom scheme should be designed such that congruence of sym-blocks is constructible.

Examples

  • nat_add_zero_left_cong : true -> cong'(sym(a, add'(z', a') == a'))

Basic operations

  • &
  • =>
  • |
@bvssvni bvssvni mentioned this issue Nov 5, 2023
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bvssvni commented Nov 8, 2023

I added a new axiom in #247:

sym_fun_eq : true -> sym(a, f(a')) == f

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bvssvni commented Nov 26, 2023 •
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An idea:

cong'(f) -> cong'(sym(a, f(a') == b))

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