Dynamic Formal Systems Laboratory
Where mathematics meets machine intelligence
At the DFS Lab, we bridge the gap between pure mathematics and artificial intelligence through constraint generation and advanced formal systems. Our research in System F, System T, and beyond is reshaping how AI understands logic, proof, and reasoning.
The Frontier of Formal AI
Constraint Generation Meets Type Theory
Our approach to AI isn't just about neural networks - it's about fundamental mathematical structures that govern reasoning itself.
System F & Polymorphic Types
Leveraging second-order lambda calculus to create AI systems that understand abstract mathematical concepts.
System T & Recursive Functions
Building AI that can reason about computation itself using Gödel's System T for primitive recursive functions.
Constraint Generation
Dynamic generation of logical constraints that guide AI reasoning in mathematically rigorous ways.
Research Areas
Mathematical AI at its Core
Our research spans the intersection of formal logic, type theory, and artificial intelligence
Constraint-Based Reasoning
Developing AI systems that generate and solve complex logical constraints in real-time.
Type-Theoretic AI
Using advanced type systems to create AI that understands mathematical proofs and abstractions.
Formal Verification
Building AI systems whose reasoning can be formally verified and mathematically proven correct.
Dynamic Logic Systems
Creating adaptive logical frameworks that evolve and optimize their reasoning patterns.
Proof Synthesis
AI that can generate mathematical proofs and verify their correctness using formal methods.
Meta-Mathematical AI
Systems that reason about mathematics itself, understanding the structure of mathematical knowledge.
Research Impact
DFS Lab Metrics
Quantifying our impact on formal AI research
Current Projects
The Next Generation of Mathematical AI
Our flagship project combines Typed lambda-calculi polymorphism with dynamic constraint generation to create AI systems that can reason about abstract mathematical concepts with unprecedented depth and flexibility. AI that's not just a stochastic parrot, but a truth-seeking automaton.
