Computational Equivalence and Turing Completeness

Given unlimited time and memory, any computing device—from supercomputers to smartphones—can execute the same set of tasks, differing only in speed and resources, because a system that can simulate a Turing machine is Turing‑equivalent, making all Turing‑complete languages capable of solving any computable problem, with only efficiency or code length varying.

Turing completenessalgorithmcomputational theory

0 likes · 4 min read

Computational Equivalence and Turing Completeness

ELab Team

Feb 7, 2021 · Fundamentals

How to Prove JavaScript and TypeScript Are Turing‑Complete Using Partial Recursive Functions

This article explains why implementing partial recursive functions is equivalent to Turing‑completeness, defines the basic functions and operations of partial recursion, demonstrates how common arithmetic can be built from them, and provides JavaScript and TypeScript code that formally proves both languages are Turing‑complete.

Computability theoryJavaScriptPartial recursive functions

0 likes · 14 min read

How to Prove JavaScript and TypeScript Are Turing‑Complete Using Partial Recursive Functions