Markov Chain Lab
Interactive learning platform for Markov chains, automata, simulation, and grammar workflows.
The problem
Students and practitioners need one place to learn theory, build automata, run simulations, and validate behavior; most tools are fragmented across static notes and disconnected utilities.
The solution
Built a modern Next.js platform with an interactive builder, simulation and analysis tabs, grammar conversion tooling, and persisted user workspaces.
Outcomes
- Visual chain builder supports Markov Chains, DFA, and NFA with interactive editing.
- Simulation and analysis cover stationary behavior, convergence, and chain properties.
- Grammar editor supports two-way grammar↔automata conversion with validation.
+1 more in the write-up
Inside the write-up
- Architecture Overview: App Router, Domain Core, and Feature Modules
- Visual Chain Builder: Canvas, State Layer, and Interaction Model
- Simulation Engine: Step Control, Auto-Run, and String Acceptance
- Grammar↔Automata Conversion: Parsing, Validation, and CFG Detection
- Markov Analysis: Stationary Distribution, Convergence, and Chain Properties
- Persistence, Authentication, and Admin Content Pipeline
- Learning Experience: Curriculum, Practice, and Interactive Demos
- Performance, Testing, and Operational Tooling