Alignment Workspace

Item 63: `Sigma_n` as a computable deductive process

Normativity line — legitimacy · difficulty open · project normativity.legitimacy · open · node item-63

IsLogicalInductor is stated against a process carrying ComputableDeductiveProcess. The slice's Sigma_n = D_n union Sem_L(L_n) is computable by construction and no computability statement is made about it, so E3 in the slice's assumption list is declared rather than discharged. The same gap covers RationalConstraintSchedule.Computation for the schedules the slice generates.

Deliverable shape: lean-proved for the union case — given ComputableDeductiveProcess D and a primitive-recursive sem_L over an enumerable ledger, the union is a ComputableDeductiveProcess. Acceptance check: the lean job; the witness is a settled ledger with a decidable reading. Context: projects/normativity/legitimacy/rounds/2026-08-25-end-to-end-vertical-slice/SETTLEMENT_SEMANTICS.md §1 and §9. Consumed by: any round quoting IsLogicalInductor over a record-fed substrate.

Deliverable shape: lean-proved for the union case — given ComputableDeductiveProcess D and a primitive-recursive sem_L over an enumerable ledger, the union is a ComputableDeductiveProcess.

Acceptance check: the lean job; the witness is a settled ledger with a decidable reading.

Context: projects/normativity/legitimacy/rounds/2026-08-25-end-to-end-vertical-slice/SETTLEMENT_SEMANTICS.md

Registered results bearing on this item

None registered.

Where it hangs

Rounds and decisions that touch it

None recorded.