sinc-LLM: Open Source Framework for Nyquist-Compliant Prompts

sinc-LLM: Open Source Framework for Nyquist-Compliant Prompts By Mario Alexandre March 21, 2026 sinc-LLM Prompt Engineering Table of Contents What Is sinc-LLM? Core Concepts Architecture Getting Started Community and Contributing What Is sinc-LLM? sinc-LLM is an open source framework that applies the Nyquist-Shannon sampling theorem to Large Language Model prompts. It provides a mathematical foundation for prompt engineering, replacing trial-and-error with formal specification theory. x(t) = Σ x(nT) · sinc((t - nT) / T) The framework is based on the sinc-LLM paper by Mario Alexandre, which analyzed 275 production prompt-response pairs across 11 autonomous agents and demonstrated a 97% cost reduction while increasing output quality from SNR 0.003 to 0.92. Core Concepts sinc-LLM treats every prompt as a sampled version of a continuous specification signal. The key concepts: 6 Specification Bands , PERSONA, CONTEXT, DATA, CONSTRAINTS, FORMAT, TASK. Every complete prompt must sample all 6.