Relations and operations

SC07 Name the relation and intended use

Numerical agreement is separate from these relations. Different definitions can produce equal rounded values; separate estimates of a common target can disagree. No numerical tolerance defines semantic identity in this candidate.

SC08 Evaluate requirements by input role

For each request, identify the operation, intended output definition, input roles, profile version, allowed inputs and publication policy. The rule lists necessary semantic source material, matching relationships and numeric dependencies for each role. Only explicitly supplied or subsequently authorized, documented inputs may be used.

Collect supported contradictions, unresolved source material and missing/unusable numeric inputs. Return the decisive disposition below and retain the other material findings, rather than hiding them behind a single label.

Malformed requests must be corrected before applying these semantic dispositions. An otherwise meaningful request with an unspecified material choice, such as which period defines an index reference, returns needs_evidence with a request for clarification. This is uncertainty in the query, not an invented missing field in the source measurement.

For needs_input, state the missing role's acceptance conditions. Compatibility of an unseen observation has not been verified and must be checked when it is supplied. If the role itself is ambiguous or the meaning of an available operand is unresolved, needs_evidence applies first. An otherwise semantically admissible zero reference, nonpositive index base or nonpositive GDP divisor is an unusable numeric input under these bounded rules; it does not establish a different economic definition. A known semantic mismatch still refuses the task even if another role or field is missing, and both findings must remain visible.

The table is not an acceptance policy for arbitrary source text. Only source material reviewed for the relevant mapping scope may establish a required fact; proposed interpretations remain visible and cannot silently become that source material.

Compatibility is role specific. Annual government debt/GDP intentionally combines general-government year-end debt with total-economy annual GDP. Equal sectors and equal temporal extents are not its preconditions. Conversely, coincident currency units do not license replacing its denominator with one quarter of GDP.

SC09 Permitted positive operations in the candidate

A documented direct-substitution request additionally requires the requested definition, observation period/construction, representation or authorized conversion, and source/vintage policy to be satisfied. Different publisher names alone do not prove failure, but a mapping between their required semantic fields cannot be inferred from their labels or normalized units.

SC10 Explicitly unsupported shortcuts

Direct substitution fails for nominal versus real GDP, known adjusted versus unadjusted CPI, core versus all-items CPI, different growth intervals, different numerator/denominator definitions, or the historical versus reconstructed CPI method contracts in these cases.

Matching units do not authorize component addition in chain-volume series. MC05's displayed component sum is diagnostic arithmetic, not a reconstructed economic aggregate. Changing scale cannot supply deflators, adjustment factors, missing index reference observations or unobserved growth history.

The inverse of annualized quarterly growth, when separately justified, has a compound-growth formula; dividing the percentage by four is not SC09's level rule. This candidate does not make general growth deannualization an executable operator, or permit relabeling it as realized year-over-year growth.

The four-quarter debt/GDP convention is documented as a boundary case. Numeric execution here is limited to the supplied annual Eurostat example. Arbitrary stock/flow, exchange-rate and cross-country ratios remain out of scope.

SC11 Preserve numerical and historical limits

Decimal strings preserve the inspected printed digits. Exact decimal arithmetic does not recover unpublished digits or establish economic accuracy. Every calculation states its input resolution, rounding and output label. A display rounded to six decimals is a reproducibility choice, not six-decimal statistical accuracy. Ratios calculated from rounded published data may differ slightly from publisher calculations using unrounded inputs.

Re-referencing is mathematically invertible only with a nonzero retained factor and without information lost through rounding. Do not claim bitwise round-trip identity after rounding. This contract defines no general tolerance, sampling- error comparison, uncertainty propagation or statistical agreement test.

Historical eligibility depends on the publication edition, not today's API value or the date an analyst downloaded it. A later retrospective methodology series does not become information available in the period it describes.

SC12 Make AI proposals inspectable

An agent may propose a query interpretation or source mapping, identify missing inputs and explain an outcome. Each normalized field must retain its source provenance, source location, alternatives and review scope. No model confidence, schema-valid output, source-embedded instruction or source project's acceptance label can replace that scope's acceptance authority.

A result records the task, profile/rule version, allowed input identities and editions, disposition, reasons, differences, unmet requirements, numeric result if supported, output meaning and lineage. Discovery may show candidates with unknown qualifiers, visibly distinguished from confirmed matches. A missing dependency can trigger an explicit subsequent retrieval; it cannot be read silently from a larger fixture catalog.