How CodeLogician works
AI coding agents normally reason statistically. CodeLogician makes them build a mathematical mental model and analyze it.
LLM Agent only
- Samples likely paths
- Edge cases are easy to miss
- Humans must manually validate behavior
LLM Agent + CodeLogician
- Decision logic is formalized
- Reasoning engine explores behavior
- Artifacts expose boundaries and edge cases
CodeLogician turns AI coding from “looks right” into “behavior understood.”
Tackle Complexity with Math and Logic
CodeLogician activates when code starts encoding rules, states, or business logic — forcing the agent to translate its understanding into structured logic and using a reasoning engine to surface edge cases, decision boundaries, and invariants that LLMs alone struggle to uncover.
Not all code needs deep reasoning. But systems that encode decisions — payments, access control, workflows, distributed services — create behavioral complexity that statistical AI alone can't fully explore.
LLMs Alone Are Great For
- UI rendering and formatting
- CRUD services and wrappers
- Data transformations
- Simple scripts
CodeLogician Activates For
- State machines and workflows
- Financial and rule engines
- Access control and policy systems
- Distributed system coordination
- Complex integration logic
Read the full Tackle Complexity with Math and Logic guide here, or the Managing Complexity with Math and Logic article on Medium.
What developers use it for
From day-to-day code review to high-stakes system verification.
Refactor safely
Prove your refactored function is behaviorally identical to the original — or see precisely where behavior changes.
Catch bugs before production
Give CodeLogician the function and it exhaustively maps all inputs that cause unexpected outputs — before a single line ships.
Equivalence checking
Compare two implementations for semantic equivalence — useful for migrations, API versioning, and shadow deployments.
Prove invariants
Establish formal guarantees that hold across all inputs — account balances, state machine transitions, security properties.
Built for systems that can't be wrong
Payment flows
Charge logic, refunds, idempotency
Pricing logic
Discounts, tiers, edge conditions
Auth & sessions
Token expiry, permission boundaries
Matching engines
Order books, fairness, settlement
Agent plans
Agentic loop invariants, tool safety
Explore demos and examples in the repo.
In the press and on paper
Peer-reviewed research, press coverage, and video walkthroughs of CodeLogician and the reasoning engine behind it.
Managing complexity with math and logic: changing Stripe payment flow with Claude and CodeLogician
How to use CodeLogician with Claude to refactor and verify a Stripe payment flow — managing complexity with formal logic and automated reasoning instead of guesswork.
Formal AI Reasoning with ImandraX & CodeLogician | Session 1 of AI Reasoning Weekly
Grant Passmore and Denis Ignatovich introduce ImandraX, a theorem prover and proof assistant built for engineers, and CodeLogician, which plugs formal reasoning directly into AI coding agents like Claude Code.
Vibe Coding was phase 1. Logic-first AI is phase 2. It is here now.
How CodeLogician makes AI coding agents reason explicitly instead of guessing — the shift from probabilistic generation to structured, verifiable logic.
How Formal Reasoning Extends LLM Capabilities for Software Analysis
We introduce a benchmark targeting mathematical reasoning about real software logic. Across all tested models, augmenting LLMs with formal reasoning via CodeLogician closes a 41–47 percentage point accuracy gap compared to LLM-only reasoning.
A Gentle Intro to ImandraX and CodeLogician
Denis Ignatovich (Co-Founder, Imandra) walks through the core ideas behind ImandraX and CodeLogician — how automated reasoning integrates with AI coding agents.
Imandra Unveils Imandra Universe: The Platform for Neurosymbolic AI Agents
Imandra launches Imandra Universe — a unified platform bringing neurosymbolic AI and logical reasoning to software development teams at scale.
For more research, press, and videos, see the media page.