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Computational theory

3 articles · Page 1 of 1

Jun 12, 2026 · Artificial Intelligence

Can Transformers Solve Any Computable Problem? RUC Study Shows Context Management Sets the Upper Bound

A recent ICML 2026 position paper clarifies that the computational power of a fixed Transformer model is limited by its context‑management strategy, distinguishing fixed‑system and scaling‑family settings and showing how five concrete management approaches span from constant‑space to full Turing‑completeness.

Computational theoryContext ManagementLarge Language Models

0 likes · 16 min read

Can Transformers Solve Any Computable Problem? RUC Study Shows Context Management Sets the Upper Bound

Java Tech Enthusiast

Nov 19, 2024 · Fundamentals

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.

Computational theoryComputer ScienceTuring completeness

0 likes · 4 min read

Computational Equivalence and Turing Completeness

Model Perspective

Dec 3, 2022 · Fundamentals

What Are Cellular Automata? History, Types, and Their Computational Power

Cellular automata are discrete computational models used across physics, biology, and computer science, featuring grids of cells with simple rules that can produce complex behavior, classified into four Wolfram classes, with a rich history from Ulam and von Neumann to modern research.

Computational theoryGame of LifeWolfram classification

0 likes · 15 min read

What Are Cellular Automata? History, Types, and Their Computational Power