SECURING AI CORRECTNESS AT SCALE
We are practitioners bringing formally verified reasoning to AI applications
We help formalize domain knowledge and automate the reasoning behind it. By using proof assistants, we deliver outcomes that are both correct and explainable.
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How We Help
Formal Foundry specializes in applying proof assistants—tools originally designed to verify mathematical proofs and software correctness—to enhance the reliability of AI systems.
What is a Formal Proof?
A formal proof is a detailed logical argument checked step-by-step by a computer. Unlike informal reasoning in natural language (which can be ambiguous), formal proofs must be precisely defined, leaving no room for misunderstandings or hidden errors.
What is a Proof Assistant?
A proof assistant is software that helps humans construct formal proofs and rigorously checks their correctness. A critical component is the typechecker, which automatically verifies that each step in the logical argument is valid and consistent.
What Does Formalization Mean?
Formalization means translating informal or intuitive statements (such as business rules, regulations, or domain knowledge) into a precise, logical language understandable by proof assistants. This initial process requires careful human expertise, as it involves clearly defining and encoding domain-specific knowledge without ambiguity.
However, once formalized, the encoded knowledge can be automatically and repeatedly checked by proof assistants—without further human involvement. This allows you to quickly verify that your system consistently meets the defined standards, providing clear, automated proofs of correctness or compliance whenever needed.
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-d '{
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"email": "[email protected]"
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"to": [
{
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"subject": "Hello from Lumi!",
"text": "Greetings from Lumi.",
"html": "Greetings from Lumi."
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