quote
plain-language theorem explainer
This definition supplies a string quoting utility that encloses escaped content within double quotes for JSON compatibility. It is referenced during construction of audit reports that summarize proven results from the Recognition Science invariants. Realization occurs via straightforward string concatenation calling the escape helper.
Claim. The quoting function is defined by $q(s) := ``'' ++ e(s) ++ ``''$, where $e$ is the minimal escaping operation that replaces each double quote with a backslash-escaped quote.
background
The Audit module provides scaffolding (M1) to emit a deterministic JSON summary of a minimal set of already-proven, unitless invariants. This is a placeholder surface that will be extended in later milestones to include numeric values and scale-declared running quantities. The escape operation, defined as a minimal replacer of double quotes by backslash-quoted versions, is the sole dependency. This supports serialization of structures holding fields for name, category, status, and optional values in the context of URC adapters.
proof idea
Implementation is a one-line wrapper that concatenates a leading double quote character, the output of the escape function applied to the input string, and a trailing double quote character.
why it matters
This definition supports the JSON emission layer of the audit scaffolding, which in turn feeds the AuditItem structure used for reporting on invariants such as the inverse fine-structure constant approximation and cosmological quantities. It contributes to the deterministic surface for the Recognition framework's forcing chain results and phi-ladder mass formulas by enabling machine-readable summaries. The module serves as an interface for later integration with numeric computations from the URCGenerators.
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