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Case Studies

Delivery evidence from consulting engagements: architecture decisions, execution details, and outcomes.

Distributed Verification System

Full-Stack Architecture with Formal Verification

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Full-stack system combining distributed processing with Lean 4 formal verification. Built with FastAPI backend, PostgreSQL for data storage, and real-time Next.js dashboard.

The Challenge

Create a system that can verify complex mathematical proofs using both AI reasoning and formal verification. Requires seamless integration of multiple verification layers and reliable infrastructure.

Solution Architecture

  • ✓Architected FastAPI backend with PostgreSQL for proof storage and Redis for caching
  • ✓Integrated Lean 4 service for formal verification via HTTP API
  • ✓Built real-time dashboard with Next.js showing proof verification status
  • ✓Deployed containerized infrastructure using Docker and Docker Compose
  • ✓Created AI orchestration layer with neurosymbolic reasoning

Results & Impact

  • →Production-grade microservices architecture
  • →Formal proof validation with Lean 4
  • →Automated CI/CD pipeline with GitHub Actions
  • →Open-source technology stack
  • →Extensible agent orchestration system

Key Metrics

API Routers
11
Microservices
6
Docker Services
6 +Lean
Verification Method
Lean 4 + AI

Highlights

Microservices architecture with 11 API routersFormal proof validation with Lean 4AI agent orchestration (hub-and-spoke)Production deployment on Vercel + Render

Tech Stack

FastAPINext.jsTypeScriptPythonPostgreSQLRedisDockerLean 4CeleryDeepSeek API

Learning Management & Analytics Platform

Full-Stack Learning Platform

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Full-stack platform for structured learning content with progress tracking. Built with Next.js frontend, FastAPI backend, and PostgreSQL data layer.

The Challenge

Build a scalable learning platform that handles structured educational content, user progress tracking, and analytics across multiple learning paths.

Solution Architecture

  • ✓Designed learning content architecture with multiple-choice assessments
  • ✓Implemented roadmap system for structured learning paths
  • ✓Integrated formal verification pipeline for proof validation
  • ✓Built role-based access control (students, educators, operators)
  • ✓Created analytics dashboard for progress tracking

Results & Impact

  • →Modular learning content system
  • →Integrated verification capabilities
  • →Real-time progress tracking
  • →Multi-tier role-based architecture
  • →Extensible to new STEAM domains

Key Metrics

Learning Roadmaps
10+
Role-Based Access
Student/Educator/Operator
Content Domains
5 (STEAM)
Analytics Tracking
Real-time

Highlights

Gamification mechanics (points, achievements, leaderboards)Real-time analytics dashboardPersonalized learning roadmapsFormal proof integration

Tech Stack

Next.jsTypeScriptFastAPIPythonPostgreSQLFramer MotionTailwind CSSLean 4

Analytics & Roadmap System

Data Pipeline & Learning Paths

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Built comprehensive analytics system tracking user progress and a dynamic roadmap builder for creating learning paths with structured content and assessments.

The Challenge

Process user interaction data efficiently, provide meaningful analytics, and create flexible system for defining learning paths.

Solution Architecture

  • ✓Implemented PostgreSQL with optimized queries for analytics
  • ✓Created Redis caching layer for frequently accessed metrics
  • ✓Built RESTful API for analytics data retrieval
  • ✓Designed roadmap schema supporting nested milestones and content
  • ✓Implemented progress tracking system with granular metrics

Results & Impact

  • →Real-time analytics dashboard
  • →Efficient data queries and aggregations
  • →Flexible roadmap builder interface
  • →Comprehensive progress tracking
  • →Scalable metrics collection

Key Metrics

API Endpoints
7+
Database Tables
10+
Query Optimization
Indexed Queries
Caching Layer
Redis

Highlights

Efficient database schema designReal-time data aggregationInteractive learning path builderComprehensive usage analytics

Tech Stack

Next.jsTypeScriptFastAPIPythonPostgreSQLRedisFramer Motion

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