A collection of Model Context Protocol (MCP) servers providing various capabilities for AI assistants.
An MCP server providing advanced problem-solving capabilities through:
- Sequential thinking with dynamic thought evolution
- Mental models for structured problem decomposition from a list provided by James Clear's website
- Systematic debugging approaches
An MCP server extending sequential thinking with advanced stochastic algorithms for better decision-making:
- Markov Decision Processes (MDPs) for optimizing long-term decision sequences
- Monte Carlo Tree Search (MCTS) for exploring large decision spaces
- Multi-Armed Bandit Models for balancing exploration vs exploitation
- Bayesian Optimization for decisions under uncertainty
- Hidden Markov Models (HMMs) for inferring latent states
Helps AI assistants break out of local minima by considering multiple possible futures and strategically exploring alternative approaches.
This is a monorepo using npm workspaces. To get started:
# Install dependencies for all packages
npm install
# Build all packages
npm run build
# Clean all packages
npm run clean
# Test all packages
npm run test
Each package in the packages/
directory is published independently to npm under the @waldzellai
organization scope.
To create a new package:
- Create a new directory under
packages/
- Initialize with required files (package.json, src/, etc.)
- Add to workspaces in root package.json if needed
MIT
Here's a reframed explanation using USB/hardware analogies:
Think of the core AI model as a basic desktop computer. Model enhancement through MCP is like adding specialized USB devices to expand its capabilities. The Sequential Thinking server acts like a plug-in math coprocessor chip (like old 8087 FPU chips) that boosts the computer's number-crunching abilities.
How USB-Style Enhancement Works:
- Desktop (Base AI Model): Handles general tasks
- USB Port (MCP Interface): Standard connection point
- USB Stick (MCP Server): Contains special tools (like a "math helper" program)
-
Driver Installation (Server Registration)
# Simplified version of USB "driver setup" def install_mcp_server(usb_port, server_files): usb_port.register_tools(server_files['tools']) usb_port.load_drivers(server_files['drivers'])
- Server provides "driver" APIs the desktop understands
- Tools get added to the system tray (available services)
-
Tool Execution (Using the USB)
- Desktop sends request like a keyboard input:
Press F1 to use math helper
- USB processes request using its dedicated hardware:
def math_helper(input): # Dedicated circuit on USB processes this return calculation_results
- Results return through USB cable (MCP protocol)
- Desktop sends request like a keyboard input:
- User asks AI to solve complex equation
- Desktop (base AI) checks its "USB ports":
if problem == "hard_math":
use USB_MATH_SERVER
- USB math server returns:
- Step-by-step solution
- Confidence score (like error margins)
- Alternative approaches (different "calculation modes")
- Hot-swapping: Change USB tools while system runs
- Specialization: Different USBs for math/code/art
- Resource Limits: Complex work offloaded to USB hardware
- Standard Interface: All USBs use same port shape (MCP protocol)
Just like you might use a USB security dongle for protected software, MCP lets AI models temporarily "borrow" specialized brains for tough problems, then return to normal operation.
Model enhancement in the context of the Model Context Protocol (MCP) refers to improving AI capabilities through structured integration of external reasoning tools and data sources. The Sequential Thinking MCP Server demonstrates this by adding dynamic problem-solving layers to foundational models like Claude 3.5 Sonnet.
Mechanics of Reasoning Component Delivery:
MCP servers expose reasoning components through:
- Tool registration - Servers define executable functions with input/output schemas:
// Java server configuration example
syncServer.addTool(syncToolRegistration);
syncServer.addResource(syncResourceRegistration);
- Capability negotiation - During initialization, servers advertise available components through protocol handshakes:
- Protocol version compatibility checks
- Resource availability declarations
- Supported operation listings
- Request handling - Servers process JSON-RPC messages containing:
- Component identifiers
- Parameter payloads
- Execution context metadata
MCP clients discover and utilize reasoning components through:
- Component discovery via
list_tools
requests:
# Python client example
response = await self.session.list_tools()
tools = response.tools
- Dynamic invocation using standardized message formats:
- Request messages specify target component and parameters
- Notifications stream intermediate results
- Errors propagate with structured codes
- Context maintenance through session persistence:
- Conversation history tracking
- Resource handle caching
- Partial result aggregation
The component delivery process follows strict sequencing:
-
Connection establishment
- TCP/HTTP handshake
- Capability exchange (server ↔ client)
- Security context negotiation
-
Component resolution
- Client selects appropriate tool from server registry
- Parameter validation against schema
- Resource binding (e.g., database connections)
-
Execution lifecycle
- Request: Client → Server (JSON-RPC)
- Processing: Server → Tool runtime
- Response: Server → Client (structured JSON)
Modern implementations like Rhino's Grasshopper integration demonstrate real-world mechanics:
# Rhino MCP server command processing
Rhino.RhinoApp.InvokeOnUiThread(lambda: process_command(cmd))
response = get_response() # Capture Grasshopper outputs
writer.WriteLine(response) # Return structured results
This architecture enables dynamic enhancement of AI capabilities through:
- Pluggable reasoning modules (add/remove without system restart)
- Cross-platform interoperability (Python ↔ Java ↔ C# components)
- Progressive disclosure of complex functionality
- Versioned capabilities for backward compatibility
The protocol's transport-agnostic design ensures consistent component delivery across:
- Local stdio processes
- HTTP/SSE cloud endpoints
- Custom binary protocols
- Hybrid edge computing setups