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engineering.process.capability

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

CVP status

CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance · Design-stage Cp, Cpk, Cpu, Cpl from stated μ and σ + O3 mpmath tabulated Cp/Cpk. Two-sided USL > LSL.

Stated μ,σ two-sided. Not Pp/Ppk, not P/T, not Monte Carlo. O3 tabulated vectors only.

Declared partition coverage
PASS · 6/6 declared partitions (centered, off-center-high, off-center-low, negative-cpk, alias, invalid-domain)
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-16.o2-o3
Verification revision
2026-09-16.o2-o3 · 3/3 property · digest d45618000fe2

Verification

Legacy regression suite: 5/5 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (5/5 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

    This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-16.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 5/5 golden · 2/2 CVP boundary · 6/6 invalid · 3/3 property · 2/2 metamorphic · 8/8 O3 · 4/4 cross-interface · 4/4 CVP contract. digest d45618000fe2. O2: design-stage Cp/Cpk/Cpu/Cpl vs separate-module identities (≤2 ULP). Not Pp/Ppk, not Cpm, not P/T=1/Cp, not Monte Carlo, not an in-control SPC study. ≤2 ULP vs O3 applies only to the published tabulated Cp/Cpk vectors (centered, off-center, negative Cpk, aliases, σ=2, shifted limits, tight). It is not a whole-domain guarantee and does not cover Pp/Ppk, Cpm, P/T, or Monte Carlo simulated indices.

  • Golden (oracle-backed) 5 / 5
  • CVP boundary 2 / 2
  • Invalid input 6 / 6
  • Property 3 / 3
  • Metamorphic 2 / 2
  • O3 high-precision 8 / 8
  • Cross-interface 4 / 4
  • CVP contract 4 / 4
  • Interfaces PASS · UI (SSR) / REST / MCP
  • Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
  • Verified scope Design-stage Cp, Cpk, Cpu, Cpl from stated μ and σ + O3 mpmath tabulated Cp/Cpk. Two-sided USL > LSL.
  • Assurance Engineering
  • Deferred Not Pp/Ppk from a sample, not Cpm/Cpmk, not P/T = 1/Cp, not Monte Carlo simulated indices, not in-control SPC, and not a Cp≥1.33 verdict.
  • release artifacts aligned PASS
  • schema output required declared PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS
  • schema rejects incomplete input PASS
  • rest success payload validates schema PASS

Fingerprint sha256:a1a60218799bb43689a9dedca524e31c07f128d905e389b519a0c93fbe7347c5

Input schema sha256:1fded02ee1287a641eb5645f574818b51c4a1e06e236456287f2b5303ffc5af9 · Output schema sha256:2c5af670b13dd55f0e6913e4c9a824fb041cece92dda81a6538a4698b5bf506b · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
process-capability
Engine
process-capability
Engine build
2026-09-16
Evidence core
2026-09-16T04:33:21.940Z
Rendered
2026-11-10T05:18:41.770Z
Last reviewed
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Assumptions

  • Design-stage from stated μ and σ — not in-control SPC
  • Not Monte Carlo simulated indices
  • Two-sided limits; USL > LSL
  • Normal-theory 6σ / 3σ formulas

Limitations

  • Design-stage indices from μ and σ — not measured in-control SPC
  • Not Monte Carlo simulated Cp/Cpk
  • Two-sided LSL/USL required; USL must be greater than LSL

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.