pub struct StructureAccounting {
pub n: usize,
pub orbits: usize,
pub covered_by_degree: Vec<usize>,
pub structureless: usize,
}Expand description
Structure accounting — the answer to “how many minimal-UNSAT families have no structure, and how
does cheap structure run out?” For each n: the cumulative number of orbits covered by a certified proof
of degree ≤ d (covered_by_degree[d]), and the structureless count = orbits with no bounded
certificate at all (rung = beyond-budget). The honest finding at n ≤ 4: structureless = 0 — every
minimal-UNSAT cover is algebraically structured (degree ≤ n). Nothing at finite n is truly random; but
the degree the structure requires grows with n (= n), so any fixed-degree (“cheap”) lens covers a
shrinking fraction. That reconciles “no finite randomness” with the counting bound: structure always
exists, but cheap structure runs out.
Fields§
§n: usize§orbits: usize§covered_by_degree: Vec<usize>covered_by_degree[d] = orbits refutable by a certified proof of degree ≤ d, d = 0..=n.
structureless: usizeOrbits with no bounded certificate (rung = beyond-budget) — the truly-structureless count.
Trait Implementations§
Source§impl Clone for StructureAccounting
impl Clone for StructureAccounting
Source§fn clone(&self) -> StructureAccounting
fn clone(&self) -> StructureAccounting
1.0.0 (const: unstable) · Source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source. Read more