Large language models (LLMs) are demonstrating increasing potential in solving mathematical problems, a fundamental benchmark for assessing the reasoning capabilities of artificial intelligence.

Iteratively Improved Program Construction (IIPC)

A new approach, called Iteratively Improved Program Construction (IIPC), aims to improve the reliability of the reasoning process. IIPC iteratively refines programmatic reasoning chains, integrating execution feedback with the Chain-of-thought abilities of the base model. This approach contrasts with existing multi-agent systems that often operate in rigid sequential pipelines or rely on fallible self-evaluation heuristics.

Open Source

The code and implementations of IIPC are released as open source, promoting collaboration and further development in the field of LLM-based mathematical reasoning.