Public evidence

math.algebra.linear_equation

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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Verification

10/10 calculation tests · Production surface contract 4/4

Golden tests 3 / 3
Boundary tests 2 / 2
Property tests 5 / 5
Production surface contract 4 / 4
Engine tested Yes
Source checked Yes
Artifact integrity PASS
Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status PASS (0 stale; 164 CURRENT) @ 2026-09-16T06:44:24.909Z
Semantic contract PASS
Evidence attested at 2026-09-16T06:44:24.203Z
Last production check 2026-09-16T06:44:24.203Z
Public / cache —
Origin —
Supplemental domain review Not performed
Named expert review Not performed

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS
schema rejects incomplete input PASS

Fingerprint sha256:625b632dd227a8917a61c3d5144aa87d27b1691d352ce4fdcebc48038f8b6516

Input schema sha256:073d67f036a9182b4438fc26a94975a3f907bda5b4e6ac3ee8795cc97521a06b · Output schema sha256:6a31a1fe8a9ae6ccc4855daf8c7eed4ce6b953981237bee5a92e96cfa1b45ea9 · 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: linear-equation
Engine: linear-equation
Engine build: 2026-09-16
Evidence core: 2026-09-16T14:46:01.365Z
Rendered: 2026-09-16T22:38:08.874Z
Last reviewed: —

Assumptions

Degree 1 only
Not quadratic

Limitations

Not ax² + bx + c = 0 — use /calc/math/quadratic
a = 0 and b = rhs → infinite
a = 0 and b ≠ rhs → inconsistent

Sources

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

ISO 80000-2:2019 Quantities and units — Mathematics

Published checks

Golden, boundary, and property cases included in this evidence build.

ID	Kind	Status	Detail
`golden-linear`	golden	pass	Expected x=4 · status=success · Actual a=2 · b=3 · rhs=11 · x=4 · status=success · formula=x = (rhs − b) / a · mode=solve
`golden-linear-infinite`	golden	pass	Expected status=infinite · Actual a=0 · b=5 · rhs=5 · status=infinite · formula=0·x + b = rhs · mode=solve
`golden-linear-empty`	golden	pass	Expected status=inconsistent · Actual a=0 · b=5 · rhs=6 · status=inconsistent · formula=0·x + b = rhs · mode=solve
`boundary-linear-missing`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`boundary-linear-mode`	boundary	pass	Expected INVALID_MODE · Actual INVALID_MODE
`property-linear-x`	property	pass	2x+3=11 → 4
`property-linear-third`	property	pass	3x=1
`property-linear-id`	property	pass	0x+2=2
`property-linear-none`	property	pass	0x+2=3
`property-linear-neg`	property	pass	−x+4=1