Algebraic Type Theory & TypeScript AST Inference Formulations
Mapping untyped JSON data to TypeScript static types evaluates structural product types through recursive type inference:
1. Recursive JSON Value Type Inference Function
τ(V) = (V ∈ String ⇒ string) ∨ (V ∈ Number ⇒ number) ∨ (V ∈ Array ⇒ τ(E)[]) ∨ Interface_K
2. Product Type Interface Composition Equation
Type(O) = ⨂_{i=1}^n ( k_i : τ(v_i) )
Step-by-Step Type Inference & AST Generation Breakdown
Step 1: AST Lexical Evaluation & Type Mapping
Inspect primitive values to determine
string, number, boolean, null.Step 2: Recursive Extraction of Child Objects
Extract nested objects into separate interfaces with PascalCase naming convention.
Step 3: Interface Construction & Export
Result=Strict, Zero-Error TypeScript Definition
JSON Primitives to TypeScript Types Reference
| JSON Value | TypeScript Type | Example Output | Static Compile Behavior |
|---|---|---|---|
| "Hello" | string | title: string; | UTF-16 string primitive |
| 42, 3.14 | number | price: number; | IEEE 754 64-bit float |
| true / false | boolean | isActive: boolean; | Binary boolean state |
| { ... } | Interface / Type | profile: Profile; | Structured object type |
| [ ... ] | T[] | roles: string[]; | Homogeneous array collection |