Equivalent / related terms occupy the same row

Paper Contracts
Node edge
Edge No direct notion of edges. The code instead refers to children
Proof Node No such thing. Instead, small step edges of length one are directly confirmed via one-step proof (OSP), setting their timer cache to uint64.max
Regular Node All edges are regular, since there is no notion of a proof node in the contracts
Root Node Block Level Layer Zero Edge
Refinement Node Layer Zero Edge (Non Block Level)
Nonterminal Node No term directly describes this
Terminal Node One Step (Fork/Proof) Edge
Position See “History Commitments and Node Form” section below
Context mutualId
Rival edges that share a mutualId
root creation move EdgeChallengeManager.createLayerZeroEdge
(where level is block)
refinement move EdgeChallengeManager.createLayerZeroEdge
(where level is not block)
bisection move EdgeChallengeManager.bisectEdge
one-step proof move EdgeChallengeManager.confirmEdgeByOneStepProof
update move EdgeChallengeManager.updateTimerCacheByChildren and EdgeChallengeManager.updateTimerCacheByClaim

(does not take the beta star parameter mentioned in the paper) | | creation time | ChallengeEdge.createdAtBlock | | rival time | there is a mapping(bytes32 => bytes32) firstRivals in EdgeStore. It maps a mutual id to an edge id.

this keeps track of the rival time of an edge | | local timer | EdgeChallengeManagerLib.timeUnrivaled | | bottom-up timer | ChallengeEdge.totalTimeUnrivaledCache

bottom-up timers in the contracts rely on ChallengeEdge.totalTimeUnrivaledCache being updated via calls to EdgeChallengeManager.updateTimerCacheByChildren and EdgeChallengeManager.updateTimerCacheByClaim | | confirmation threshold | EdgeChallengeManager.challengePeriodBlocks | | level | ChallengeEdge.level | | *L* (number of levels) | NUM_BIGSTEP_LEVEL+2 | | l = L (level equals L) | Block Level (ChallengeEdge.level = 0) | | l = 1 | Small Step Level (ChallengeEdge.level = NUM_BIGSTEP_LEVEL + 1) | | 1 < l < L | Big Step Level | | l = 0 | N/A | | n_1 **(see section 5.1) | LAYERZERO_SMALLSTEPEDGE_HEIGHT | | n_l where 1 < l < L | LAYERZERO_BIGSTEPEDGE_HEIGHT | | n_L | LAYERZERO_BLOCKEDGE_HEIGHT |

History Commitments

The contracts use the history commitment scheme described in the old BoLD paper, which can be found here