FormalFoundry.ai

We won the @Milipol_Paris Innovation Award 2025 in Cybersecurity & AI. This sends a clear signal from the world’s leading homeland security stage that #neurosymbolic AI is a promising direction for delivering safe and explainable AI in the field. While others debate “Prompt Engineering,” we use “Logic Engineering.” We bring mathematical and logical precision to domains where failure is not an option: compliance, national security, infrastructure and autonomous systems. During our talks in Paris with defence officials and equipment manufacturers, the consensus was clear: black-box AI has hit its breaking point. The demand for transparent, auditable logic has become the industry’s priority.

"From Word Statistics to Artificial Intelligence" - that was the title of the lecture we gave this week at the Faculty of Economics and Finance, University of Rzeszow. The talk traced the path from early work on semantics and the structure of language - decades of linguistic research that quietly laid the groundwork for today's breakthroughs - to how modern language models actually work, and what the distinction between "fast" and "slow" thinking means for how AI systems make decisions. The room held faculty, researchers, and the economists, analysts, and managers of tomorrow - people who, for the most part, won't build the next generation of AI, but will work with what it produces. And the AI they'll encounter is already evolving past today's LLMs: neuro-symbolic systems and formally verified models, where statistical inference is paired with mathematical guarantees about behavior. That's the frontier we are building on.

At the URAI Summit panel the discussion centered on how AI translates into real competitive advantage. FormalFoundry was represented by our co-founder Grzegorz Kunicki. The bottleneck isn't model capability - it's the ability to give experts a structure that scales their judgment to the volume of decisions modern organizations face every day. Not to replace them, not to extract their knowledge, but to let one expert's reasoning operate reliably across thousands of cases that would otherwise never reach their desk. In finance, compliance, critical infrastructure, "the model said so" isn't good enough - the logic has to be verifiable. That's the gap our work is built to close. Artur Pieczonka (@Deloitte Central Europe BSC) framed the enterprise side - how leadership roles must evolve in data-driven organizations, and why successful AI adoption depends less on tool deployment and more on the deeper adaptation of decision-making processes. Worth continuing that conversation. Grateful also to dr Grzegorz Hajduk (University of Rzeszów) on preparing graduates for hybrid intelligence, Paweł Wais (Marshal's Office of Podkarpackie) and Jarosław Reczek (PSG) on the regional ecosystem making this transition possible. Special thanks to Professor Bogdan Wierzbiński, Dean of the Faculty, for bringing together a discussion that engaged academia, enterprise, public administration, and deep-tech around a question that genuinely matters.

SPRIND brought its Frontier AI roadshow to Warsaw. We joined the discussion on how Europe should think about AI and the infrastructure needed around it. At FormalFoundry.ai, our focus is formalization. Frontier models are becoming increasingly capable heuristic systems. But to use AI in domains where correctness matters, models need to connect with precise representations of the world they operate in: regulations, procedures, contracts, technical protocols, engineering constraints, and institutional knowledge. That is the bottleneck we work on. Before proof assistants and formal methods can become useful across the AI ecosystem, real-world domains need to be translated into structures that machines can check, reason over, and verify against. Our work is to build products and services that support this process: helping organizations turn complex domain knowledge into formal specifications, proof-ready representations, and foundations for neurosymbolic AI systems. What we were in Warsaw to explore is the next chapter - scaling what we already do into a fully independent European neurosymbolic AI lab, where pairing heuristic power with formal rigor is the default, not a research curiosity. Europe is uniquely positioned to host that kind of lab, and we think the moment to build it is now.

SpaceShield Summit 2026: Grzegorz Kunicki moderated and participated in the "Technological Sovereignty of Poland in the AI Era" panel alongside Ewa Dolińska-Wysocka (@bielikllm ) and Michał Kwiatkowski (@AldecInc). On the second day of the event, we presented our recent R&D progress and showcased CodexScribe. This tool advances our mission to bridge the gap between intuitive natural language and formal specifications, facilitating the iterative refinement of safety-critical logic. We are moving beyond creative heuristics toward "Formalized Reasoning" where AI outputs are verified against rigorous domain logic to ensure outcomes are provably correct.

As AI continues to redefine the landscape of defense and space, the question of autonomy has never been more critical. We are proud to announce that our Co-founder, Grzegorz Kunicki, will be joining the panel "Poland’s Technological Sovereignty in the Era of AI" at SpaceShield Summit 2026! 🛡️🚀 The discussion will dive deep into how strategic innovation and local AI capabilities are essential for national security and resilience in a dual-use world. 📅 March 3-4, 2026📍 Stalowa Wola, Poland We look forward to connecting with leaders across the defense, space, and deep tech sectors to discuss the future of secure, sovereign technology. See you there! 🤝

@peterwildeford As proof generation gets cheaper, defining the right properties becomes the real challenge. That’s exactly the gap we close at FormalFoundry.

We have the ability to write software that is "formally verified", where it is proven to not have bugs. Right now this is expensive to do, but AI dramatically reduces the cost of generating proofs. Also formal verification would make reviewing AI-generated code much easier.

AI is making formal verification scalable. As Martin Kleppmann notes, proofs are no longer the bottleneck - specifications are. At FormalFoundry, we help translate expert knowledge into precise logic. Formalize your business rules without a PhD. Ask us about our pilot programs 🚀 martin.kleppmann.com/2025/12/08/ai-…

Great sessions with the MBA students at @UR_Rzeszow, led by our COO. By illustrating the friction between probabilistic models and the need for deterministic guarantees, he highlighted the danger of scaling stochastic intuition without the safety net of formal logic. Organizations that ignore this gap risk automating errors at an unprecedented scale - undermining the very efficiency they set out to achieve. We believe in educating leaders who understand that true innovation requires the immense potential of agentic workflows, backed by formal logic and verifiable safety.

Artificial intelligence is now one of the strongest forces shaping the modern world. At the upcoming “Technology, Economy and Ecology – Three Forces Shaping the World” national conference, organised by the Institute for Security and International Development (@InstytutBiRM), Grzegorz Kunicki, COO of Formal Foundry, will speak about why trust has become the new currency of technological progress. Talk title: “The limits of trust in technology in an era of AI-driven change. When system decisions become opaque - how to regain control.” His presentation will explore how world modeling, formalization and formal verification can restore clarity, accountability and control in AI-driven environments. @InstytutBiRM is a research-driven think tank engaging with economic, geopolitical and security challenges. Its mission is to deepen public understanding of the forces shaping global stability and development.

@razzy_ar @Ngnghm @onehappyfellow That’s just a convention difference between the standard Agda library and the Cubical one - in Cubical Agda, `ℓ-max` is used where std-lib would use `_⊔_` , they refer to the same built-in agda primitive.

@Ngnghm @onehappyfellow I am looking at the Implementation.agda, is there a reason why you use \ell-max instead of _\lub_ ?

what advantages of cubical type theory vs the calculus of constructions are relevant to maths formalisation? eg what would the benefits to be to big formalisation projects is lean supported CTT?

Beam engines started the revolution; thermodynamics and precision engineering scaled it. LLMs will kick off a lot, but scaling long-agentic workflows needs formalized domains + a precise, machine-checkable proof assistant alongside the model. DM us to set up a call to see the demo.

California’s SB-53 calls for transparency frameworks describing how AI developers apply standards and best practices. At FormalFoundry, we explore ways to translate such frameworks into formal, machine-readable specifications - so compliance can be proven, not just declared in a PDF. Our aim is to make “trust but verify” an engineering property, not a policy slogan.

@CharlesSchleich @Ngnghm @yminsky @CharlesSchleich Thanks! We've got that fixed. If you're interested, feel free to drop us a DM or email - we'd be happy to show you our demo.

@Ngnghm @yminsky @FormalFoundry AI with formal methods sounds awesome. Gone is any productivity i had planned for this afternoon. Also @Ngnghm the "Deeper dive" like on your whitepaper page leads to a 404 formalfoundry.ai/architecture/

Does anyone know of an experimental study of the efficacy of AI agents when working with statically typed vs dynamically typed codebases and languages? I'd be very curious to see results in this space!

@Milipol_Paris Looking forward to being there! We'll be at Milipol Lab (Hall 4) showing how we're making AI trust verifiable - bridging the gap between human reasoning and mathematical certainty. Don't miss our live talk at Innov’Arena - 19 Nov, 13:00. Let's connect!

A month to go before #MilipolParis, Discover what's on the 2025 programme 🕵️ ⤵️ The number of companies exhibiting at Milipol this year will be the highest in its history. Don't miss the event, request your free pass now and join us from 18 to 21 Nov ➡️ tinyurl.com/4mhdsxpt

Absolutely - but only if the logic exists in the first place. You can’t verify what you can’t formalize. Today’s safety stack runs on layers: filters, red teams, guardrails, runtime monitors. All useful - but they still rely on human phrasing, prompts, or policy docs written in English. And that’s the bottleneck: ambiguity. Before an AI can be verified, someone has to express what “safe” means in precise, mathematical terms. We’re building the tool that creates those definitions - a bridge between expert intent and proof assistants, the math engines that can actually check if logic holds. Our system takes a rule stated in plain language, turns it into machine-checkable logic, verifies it, and reads back the confirmed meaning in clear text. Every company building AI safety infrastructure will eventually need this capability. Because without formalization, “logical consistency” is just hope with a good vocabulary. We’re building the machinery that makes it real. First demos are coming - not slides, not slogans, but proofs running live. The next era of AI safety won’t be about intuition. It’ll be about math that checks out.

Spot on - human communication is a beautifully messy tapestry of signals, often defying clean capture. As someone who's navigated those challenges firsthand (respect for sharing the Asperger's lens), you highlight why mimicking the full spectrum isn't our goal. We're zeroing in on concrete domains where rules can be pinned down: think compliance policies, ethical invariants, or operational constraints in high-stakes Al. These aren't the fluid art of conversation; they're the guardrails that must hold firm, expressed in logic that proof assistants can interrogate for contradictions. By formalizing just these - starting with language but extensible to structured inputs - we create verifiable anchors. Al stays sane not by copying our intuition, but by adhering to math we humans have vetted.

@FormalFoundry @elonmusk Language is merely the framework upon which communication builds Humans communicate with words, body, intonation, eye movements, knowledge of each other and even telepathy. Good luck copying us! Having Asperger's... I understand that even humans don't understand humans!

Logical consistency is essential to the sanity of AI

@Eman_Resuym @elonmusk If you’d like to join our focus group to see our demo in November, send us a DM. Cheers!

@FormalFoundry @elonmusk The initial premise, so to speak. I happen to be a believer in objective truth, though, and we are pretty rare in a post-modern, subjective world.