𝘫 \(\mathcal{T}\) — Recursively Enumerable Base Object Theory Constant (𝘫, Tau)
Constant 𝘫 : Theory denoting the recursively enumerable base object theory, subtheory of the full Henkin completion 𝘍.
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
𝘫
\(\mathcal{T}\)
|
| Category | Metatheoretic Theory Constant |
| SML AST Constructor | Kernel AST Symbol / Sort Constructor in typetheory.ML (Class_p / Truth_p / EXP / UCol) |
| Constructor Arguments | Typed arguments as specified by the Signature / Sort field above |
| Metatype / Signature | Theory |
| Binder Status | See Category & Signature above |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathcal{T} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (𝘫, Γ ⊢ 𝛗) → (𝘍, Γ ⊢ 𝛗) |
| Related Symbols & Kernel Entries |