Where AI meets mathematical certainty.

Generative AI guesses; safety-critical systems can't. Apkallu Labs wraps large language models in formal verification — building a full-stack verified ecosystem from the code that flies aircraft to the cloud infrastructure that trains the models.

The problem

Beyond probability

A language model produces the most plausible answer, not a guaranteed one. Plausible is fine for a chatbot; it is unacceptable for a brake controller or a production IAM policy.

The method

Proof as the gatekeeper

Every AI-generated artifact — a C function, a Terraform plan — must discharge formal proof obligations before release. A hallucination can't get past a proof obligation.

The standard

Built for the strictest rooms

Designed against DO-178C, ISO 26262, and the security baselines regulated infrastructure demands. If the logic doesn't hold, nothing ships.

The ecosystem

Three layers. One rule: nothing ships unproven.

Each product stands alone; together they form a verified stack — the logic that runs your systems, the infrastructure it runs on, and the expertise to operate both.

The logic layerApkallu Studioapkallu.studio

AI-generated safety-critical software

Write the formal contract; Studio's generate-and-prove loop produces an implementation that SMT solvers verify against it — then generates the MC/DC test vectors and certification evidence to match.

  • Deductive proof of code correctness, ACSL contracts, portfolio SMT solving
  • Automated MC/DC vectors with gap analysis — 100% coverage, generated not guessed
  • C with MISRA C:2012 today; Ada/SPARK and Rust on the roadmap
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⊢ runs on ⊢
The scale layerApkallu Cloudapkallu.cloud

Formally verified infrastructure automation

Describe infrastructure in natural language; Cloud generates the Terraform and Kubernetes manifests — and proves every plan against your security and compliance policies before anything is applied.

  • Infrastructure as intent: natural language in, verified manifests out
  • Policy-as-logic checks on every plan — encryption, network exposure, least privilege
  • GPU orchestration and elastic scale for AI workloads, drift re-verified continuously
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⊢ guided by ⊢
The knowledge layerApkallu Infoapkallu.info

Expert knowledge management & consulting

Hands-on expertise for the hard parts: on-prem cluster design and operations, documentation that is actually runnable, and strategy for putting AI to work without betting the company on a guess.

  • On-prem and air-gapped cluster design, build-out, and management
  • Living documentation and executable playbooks, not shelf-ware
  • AI-adoption consulting grounded in verification-first engineering
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How it works

The Prover-in-the-Loop.

Standard LLM pipelines stop at "looks right." Ours wraps the model in a formal verification layer, so the loop only terminates on proof — and every rejection makes the next attempt smarter.

01Intent

You describe the need

A function contract, an infrastructure requirement, a policy constraint — stated once, formally.

02Synthesis

The model proposes

A fine-tuned LLM drafts candidate code or configuration, constrained by the contract and coding standards.

03Proof

The solver decides

SMT solvers check the candidate against every obligation. Invalid? The counterexample drives automatic repair. Valid? Correctness is proven, not sampled.

04Release

Evidence ships with it

Proof logs, coverage, and traceability come out of the pipeline as first-class artifacts — ready for auditors, certification authorities, and your own postmortems.

prover-in-the-loop
intent: "saturating 16-bit add"
synthesis ………………… candidate #1
proof ……………………… CEX: a=32767, b=1
counterexample → repair prompt
synthesis ………………… candidate #2
proof ……………………… all obligations discharged
coverage ………………… MC/DC 100% (n+1 vectors)
RESULT: UNSAT — PROVEN ⊢
Research

The questions we're working on.

Synthesis

Counterexample-guided repair

Turning solver counterexamples into structured repair prompts that converge — measuring iteration counts, not vibes, on a public benchmark of safety-critical leaf functions.

Coverage

Coupled conditions in MC/DC

Unique-cause MC/DC provably cannot isolate logically coupled conditions. We're building masking-MC/DC analysis that covers them soundly instead of flagging them and moving on.

Infrastructure

Policy as logic

Encoding cloud security baselines as machine-checkable obligations, so "no public buckets, ever" is a theorem about the plan — not a linter rule someone can silence.

Careers

Small team, unforgiving standards.

We hire people who think a counterexample is good news. Remote-friendly, headquartered in Renton, Washington.

Formal Methods Engineer

Frama-C/WP, SMT solving, and the taste to keep specifications honest.

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LLM Systems Engineer

Own the generate-and-repair loop: prompting, fine-tuning, and convergence benchmarks.

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Platform Engineer

Kubernetes, Terraform internals, and the pipeline that proves both.

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Contact

Building the trust layer for the autonomous future.

Tell us which layer you need — code, infrastructure, or expertise — and we'll take it from there.