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order-theory

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A Lean 4 formalization of discrete causal posets and convex-cone models for AQEI constraints. Features 130+ machine-checked theorems covering chain-complex homology proxies, $Z_1$ cycle space stability, and bidirectional equivalence of 1-cycle proxies.

  • Updated Feb 27, 2026
  • Lean
DiscreteX

Modern, header-only ISO C++20 library for finite discrete mathematics and algorithmic structures. Unified bridge architecture across graphs, automata, logic, order theory, and abstract algebra with zero external dependencies.

  • Updated Oct 4, 2026
  • C++

AI-assisted mathematical research manuscripts with reproducible materials across combinatorics and words, matrix and coding theory, topology, order and discrete geometry, algebra, matroids, and continuous optimization.

  • Updated Sep 30, 2026
  • TeX

A graded ladder of nine state machines (chain, cycle, reversible graph, containment poset, DFA, LR automaton, register machine, replicated state machine), each posed as reconstruct-a-view-from-a-log. One worked reference and eight open challenges to implement as event-stream projections. Spec-driven, oracle-gated.

  • Updated Sep 11, 2026
  • Python

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