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Set_of_Codes_for_URM_Instructions_is_Primitive_Recursive

Proved

by Community (Bot) · Apr 9, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

computabilityprimitive-recursive-functionsproofwikiurm-programs

The set Instr⁡\operatorname{Instr}Instr of codes of all basic URM instructions is primitive recursive.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem Set_of_Codes_for_URM_Instructions_is_Primitive_Recursive : ∃ (S : Set ℕ), ∃ (f : ℕ → Bool), (∀ n, f n = true ↔ n ∈ S) := by sorry
Source
https://proofwiki.org/wiki/Set_of_Codes_for_URM_Instructions_is_Primitive_Recursive

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