Lean-checked core · Lean 4

NP-Completeness of Deterministic Communication Complexity

Gaspers · He · Mackenzie — arXiv:2508.05597 · paper ⇄ Lean inspector
Scope of the machine check: Lean proves the choice-based threshold-gap equivalence, explicit and fixed-degree carrier/truth-table bounds in |V|+|E|+1, and square power-of-two padding preserving D, conditional on one balanced-family citation axiom. External: the bridge to chosen serialized source and target languages, executable construction/runtime, NP membership, and 4-Colouring hardness. Full audit · Citation boundary.
arrows
Lean code.zip · builds · 0 sorries
129proved
8reused (M&S)
1cited axiom
53shown
0sorries
UI size 100%
drag to pan · scroll to zoom · click a statement to inspect it
foundations on the left → headline theorem on the right
Trace the paperarXiv:2508.05597 v4 — all mapped formalized statements are highlighted; click one to see its formalization
Lean code.zip - builds - 0 sorries
zoom 100%
Translation / faithfulness note