SOFTWARE DEVELOPMENT

Software, built like a proof.

Karamatics designs and builds software for teams with hard problems. Every project starts as a precise model: its rules, limits and edge cases written down before any code, so what we ship does exactly what it says, every time.

f(t) = Σ ck e2πikt
n = 1

WHAT WE BUILD

Software for problems that don't fit a template.

From a first product to the system a business runs on. We take on the whole job, from the first model to design, engineering and testing, through launch and beyond.

  • Web and mobile apps

    Products people use every day, with clear flows and fast, accessible screens.

  • Cloud and platforms

    APIs, services and infrastructure that are observable, secure and ready to grow.

  • Intelligent systems

    Machine learning and language models, with evaluation built in from the start.

  • Optimization

    Scheduling, routing and allocation, written as objectives and constraints.

  • Data and analytics

    Pipelines and statistical models that show uncertainty instead of hiding it.

  • Scientific software

    Simulation and numerical computing with reproducible results.

HOW WE WORK

From a precise model to shipped software.

Every project goes through the same five steps. The mathematics isn't decoration: it is how we decide what the software must do, and how we check that it does.

  1. Specify

    ∀ x : rule(x)

    Each behavior is written as a rule first: what must always hold, and what can never happen.

  2. Model

    R ⊆ A × B

    One data model where each fact is stored once, so no two screens can disagree.

  3. Prove

    assert P(edge)

    Tests come from the rules, edge cases included, and run on every change.

  4. Ship

    Δ small, reviewed

    Small, reviewed releases, with each design decision recorded beside the code.

  5. Refine

    observe → improve

    We watch how the software is used and sharpen the model, not just the screens.

COMPANY

Mathematics is how we think. Software is what we ship.

Karamatics is a software company built on a simple belief: most software problems are, underneath, modeling problems. Get the model right and the software stays correct as it grows.

Whether it's a new product or a system that has outgrown its first design, we start from the same question: what must always be true?

  • Reason first

    We state assumptions, constraints and success criteria before we write code, so every decision has a reason you can inspect.

  • Constraints shape the design

    Budget, latency, data quality and people are part of the problem. We design within them instead of around them.

  • Small pieces that add up

    Verified components, combined carefully, are easier to trust than one large leap.

  • Built to last

    Clear structure, honest documentation and tests that mean something, so the software stays useful long after launch.

Tell us the problem. We'll write the proof.

Describe what you're building, or what isn't working yet. We'll reply with questions and a plan.