An explicit form for the free magma with the associative law #807
Conversation
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Timeroot
added a commit
to Timeroot/equational_theories
that referenced
this pull request
Jan 10, 2025
Adding my contributions. I'm adding myself for Conceptualization, Formal Analysis, Investigation, Methodology, and Validation. Conceptualization because I provided sort of an initial impetus for the side projects: studying the definability graph; studying axioms like Tarski and Higmann-Neumann; and trying to characterize free magmas (that one hasn't had much done, but there's teorth#807 which is something.) Validation because I wrote Obelix.lean, and the definability proofs. Formal Analysis because I've been computing+tracking the definability graph, e.g. my messages at https://leanprover.zulipchat.com/#narrow/channel/458659-Equational/topic/Tarski.27s.20axiom.20543/near/482210842 Investigation/Methodology because I tried proposing several approaches for constructing countermodels, like LORC/PORC or some ways to twist. None of the ideas I suggested actually ended up resolving any missing implications, but they did stimulate some good discussions. This is the category I feel less confident about and I don't mind dropping it if we're setting a slightly higher bar.
teorth
pushed a commit
that referenced
this pull request
Jan 10, 2025
Adding my contributions. I'm adding myself for Conceptualization, Formal Analysis, Investigation, Methodology, and Validation. Conceptualization because I provided sort of an initial impetus for the side projects: studying the definability graph; studying axioms like Tarski and Higmann-Neumann; and trying to characterize free magmas (that one hasn't had much done, but there's #807 which is something.) Validation because I wrote Obelix.lean, and the definability proofs. Formal Analysis because I've been computing+tracking the definability graph, e.g. my messages at https://leanprover.zulipchat.com/#narrow/channel/458659-Equational/topic/Tarski.27s.20axiom.20543/near/482210842 Investigation/Methodology because I tried proposing several approaches for constructing countermodels, like LORC/PORC or some ways to twist. None of the ideas I suggested actually ended up resolving any missing implications, but they did stimulate some good discussions. This is the category I feel less confident about and I don't mind dropping it if we're setting a slightly higher bar.
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
No description provided.