examplesToJSON
examplesToJSON yields a JSON array string that lists example certificates for CPM constants. The generateJSONReport function draws on this output when assembling the full audit report. Construction uses a direct let-binding of a singleton list followed by string concatenation and intercalation.
claimThe definition yields the string $[[ { ``example'': ``ToyModel'', ``Cproj'': 2.0, ``status'': ``verified'' } ]]$ representing a JSON array of one example certificate.
background
The CPM Constants Audit module supplies machine-checkable verification of constants derived from Recognition Science invariants together with consistency checks and export infrastructure for audit reports. The module documentation states that running lake exe cpm_constants_audit produces a JSON report of all verified constants and their provenance. Upstream results record RS-native units with base tick and voxel set to 1, c = 1, coherence quantum phi^{-5}, action quantum hbar = phi^{-5}, and the phi-ladder phi^n; the back-propagation complete predicate asserts that every variable in a BPState is assigned.
proof idea
The definition binds a list containing one hardcoded JSON object for the ToyModel entry with Cproj = 2.0 and verified status. It then forms the array by prefixing an opening bracket, applying String.intercalate with comma-newline separator, and appending a closing bracket.
why it matters in Recognition Science
This definition supplies the sample data consumed by generateJSONReport to produce the complete audit report. It therefore supports the export infrastructure listed in the module documentation and connects to the broader verification of CPM constants against Recognition Science derivations such as the eight-tick octave and spatial dimension D = 3.
scope and limits
- Does not execute any verification theorems or proofs.
- Supplies only a single static toy-model entry.
- Does not generate certificates from live proof states or numerical checks.
formal statement (Lean)
226def examplesToJSON : String :=
proof body
Definition body.
227 let items := [" { \"example\": \"ToyModel\", \"Cproj\": 2.0, \"status\": \"verified\" }"]
228 "[\n" ++ String.intercalate ",\n" items ++ "\n]"
229
230/-- Generate a complete JSON audit report. -/