Bifrost
The bridge between mathematical simulation and autonomous AI — connecting Asgard, Mimir, and Hugin into a single reasoning loop.
Bifrost connects three systems: Asgard, where dynamical systems are executable, differentiable, and algebraically transformable; Mimir, a foundation model that recovers mathematical structure from observed behavior; and Hugin, an autonomous AI agent framework. The result is an agentic layer where autonomous agents write equations, simulate them, inspect results, rewrite algebraically, and iterate — all within a mathematically grounded loop.
How It Works
Formulate
Express dynamical systems as mathematical equations — differential equations, integrals, compositions — in Asgard's formal notation. Bifrost compiles them into executable, differentiable circuits grounded in category theory. What you write is what you compute.
Simulate
Run compiled circuits under any supported calculus — deterministic Taylor-series solutions, Monte Carlo SDE path ensembles, or discrete sequences. The same equation, multiple interpretations. Results stream back as structured data with 3D surfaces, phase portraits, and stochastic trajectory visualizations.
Reason
Apply algebraic rewrite rules that transform systems while preserving mathematical correctness. Simplify, factor, find canonical forms, isolate variables, prove equivalences. The categorical structure guarantees every transformation is sound — not approximate, not heuristic.
Discover
Autonomous agents close the loop. They form hypotheses, test them through simulation, reason about results, and iterate. Specialized sub-agents handle sustained work — optimizing circuits to fit observed data, calibrating stochastic models to market prices, recovering governing equations from time series. Mimir proposes candidate structures; Asgard verifies them.