| import OAI.Probability.MatroidSecretary.Pivots.MarkedQueryProgramModel | |
| namespace OAI | |
| /-! Execution-local freshness for adaptive transaction policies. -/ | |
| namespace MatroidProphet.MarkedQueryProgram | |
| variable {α : Type*} [DecidableEq α] | |
| /-- Only the actually followed branch must query each available label at most once. | |
| This makes no assertion about branches impossible under the chosen bit law. -/ | |
| def FreshAt (S : Finset α) : MarkedQueryProgram α → Finset α → Prop | |
| | .stop, _ => True | |
| | .query e no yes, V => e ∈ V ∧ | |
| if e ∈ S then yes.FreshAt S (V.erase e) else no.FreshAt S (V.erase e) | |
| | .finish _ rest, V => rest.FreshAt S V | |
| end MatroidProphet.MarkedQueryProgram | |
| end OAI | |