4 ms·

Are there any good resources you recommend for learning Order Theory?

• manu3000 4y ago
  an introductory blog: https://matt.might.net/articles/partial-orders/ https://matt.might.net/articles/partial-orders/
  • dboreham 4y ago
    That's a great reference which I hadn't seen before. Another thing to note is that it made more sense to me when I realized that (all) the states of a replicated state machine can be considered as points in a lattice. This I think was Lamport's insight. Once you make that connection then you can reason about replicated state machines in terms of lattices and posets, allowing for example proof of convergence or otherwise.
• dboreham 4y ago
  That's a good question. I don't think I found any useful books, although surely there are some out there. I believe I mostly read Wikipedia articles and posts on math stackexchange e.g. https://en.wikipedia.org/wiki/Join_and_meet https://en.wikipedia.org/wiki/Join_and_meet https://math.stackexchange.com/questions/1775926/when-is-a-join-semilattice-not-a-meet-semilattice https://math.stackexchange.com/questions/1775926/when-is-a-j...