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Lindenbaum-Tarski algebra #1012

Merged
merged 7 commits into from
Jun 20, 2023
Merged

Lindenbaum-Tarski algebra #1012

merged 7 commits into from
Jun 20, 2023

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croos90
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@croos90 croos90 commented Jun 17, 2023

Lindenbaum-Tarski algebra of propostional logic.

  • Definition of provability
  • Properties of propositional logic
  • Biprovability relation
  • Definition of Lindenbaum-Tarski algebra
  • Lindenbaum-Tarski algebra is complemented distributive lattice, hence Boolean

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@mortberg mortberg left a comment

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Apart from a small comment I think this looks good.

One could maybe split this into multiple files and move some stuff to other parts, like the definition of propositional formulas and the proof system... On the other hand, the logical system is somewhat tailored for the construction of the LT algebra. What does @ecavallo and @felixwellen think?

Cubical/Algebra/LindenbaumTarski.agda Show resolved Hide resolved
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I think it's fine like it is now (agreeing that a comment explaining the file contents would be great).

We can think about splitting off the logic-parts in our future refactoring that finally puts the logic related things in the library at a place where they are not completely unexpected ;-)

@croos90 croos90 requested a review from mortberg June 20, 2023 09:35
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Merging as soon CI is finished checking it

@mortberg mortberg merged commit 89a8e1a into agda:master Jun 20, 2023
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3 participants