Axiom Math frames partial formal verification as a software optimization tool

Axiom Math views formal verification not only as protection against errors but also as a performance and optimization tool. It argues that reducing the cost of formal proofs could support the generation of new algorithms and scientific discoveries, with possible implications for coding, AI for science and physical engineering.

Rather than rewriting all software or formally verifying every component, the proposed middle ground is partial verification: decomposing difficult coding tasks into modules, securing guarantees for selected parts and optimizing them. The approach reflects the view that formal verification can provide value even without proving an entire system correct.