Potential of Symbolic Informalization
Symbolic informalization enables the reliable conversion of formal mathematics to natural language, making machine-checked content human-readable without loss of precision. This method generalizes the limited mechanisms of syntactic sugar into the ordinary language of mathematics.
AI and Autoformalization Integration
In a setting where proofs are constructed by artificial intelligence and autoformalization, symbolic informalization can explain precisely what has been constructed.
The Informath Project
This paper outlines the project Informath, which aims to show how symbolic informalization can produce fluent text with a reasonable development effort and address multiple formal and natural languages. Informath is based on an interlingual architecture, where Dedukti acts as a hub between different proof systems (Agda, Lean, Rocq) and the Grammatical Framework (GF) ensures linguistic correctness and variation in different natural languages.
Blogger's Review: The research on symbolic informalization provides a new perspective on the readability of formal mathematics, especially in the context of AI-assisted proofs. Progress in this area could greatly enhance the dissemination and application of mathematical knowledge, making it worth following.