Schema Inference Theory & Zod Type Invariant Formulations
Generating runtime validation validators from JSON samples maps raw values to domain-constrained schema operators:
1. Recursive Zod AST Type Mapping Function
Z(V) = (key \ni "email" ⇒ z.string().email()) ∨ (V \in \mathbb{Z} ⇒ z.number().int()) ∨ z.object({k_i: Z(v_i)})
2. Type Inference Isomorphism Equation
Type(S) ≅ z.infer⟨typeof S⟩
Step-by-Step Zod Schema Synthesis Breakdown
Step 1: JSON Lexical Value Inspection
Inspect types: strings, integers, floats, booleans, arrays, and objects.
Step 2: Semantic Constraint Attachment
Attach
.email(), .url(), and .datetime() based on pattern heuristics.Step 3: Export Type Synthesis via z.infer
Output=Type-Safe Runtime Validation & Type Alias
JSON Types to Zod Validation Methods Reference
| JSON Type | Zod Validator | Inferred Static Type | Validation Behavior |
|---|---|---|---|
| "user@site.com" | z.string().email() | string | RFC 5322 email regex check |
| 42 (Integer) | z.number().int() | number | Rejects floating point values |
| true / false | z.boolean() | boolean | Strict boolean check |
| ["admin", "user"] | z.array(z.string()) | string[] | Homogeneous list validator |
| { ... } | z.object({ ... }) | Object Type | Nested structural validation |