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# Tutorial: Building an Agentic AI System with Deductive & Inductive Reasoning
## 1. Introduction
Modern AI systems increasingly require the ability to make decisions in complex and dynamic environments. One promising approach is to create an **agentic AI system** that combines:
-**Deductive Reasoning:** Rule-based logic that guarantees conclusions when premises hold true.
-**Inductive Reasoning:** Data-driven inference that generalizes from specific cases to handle uncertainty.
By integrating these two methods, often referred to as **neuro-symbolic AI**, an agent can provide transparent, explainable decisions while also adapting to new data. This tutorial explains the concepts behind this approach and shows you how to build an edge-deployable ReAct agent using Deno.
---
## 2. Benefits of an Agentic AI System
Implementing a hybrid reasoning system brings several advantages:
-**Robust Decision-Making:**
Deductive logic ensures consistency when rules are met, while inductive reasoning fills gaps by generalizing from data. This results in decisions that are both reliable and adaptable.
geeksforgeeks.org
-**Transparency and Explainability:**
Rule-based components allow you to trace the logic behind decisions. When combined with inductive estimates, the agent can provide a detailed explanation of its thought process.
zilliz.com
-**Modularity and Customization:**
The design is modular. You can add or modify rules for various domains (e.g., financial, medical, legal) without overhauling the entire system. This makes it ideal for specialized applications.
aisera.com
-**Edge-Optimized Deployment:**
Implementing the agent as a single-file Deno script keeps the code lightweight and fast, ideal for serverless environments such as Supabase Edge Functions or Fly.io.
---
## 3. Usage Overview
The agent is built around the **ReAct loop**, which follows these steps:
1.**Input Parsing:**
The agent receives a JSON request containing a `query` and optionally a `domain` field. The domain field (e.g., "financial", "medical", "legal") directs the reasoning engine to use domain-specific rules.
2.**Agentic Reasoning:**
-**Deductive Module:** Checks for explicit rules. For example, in finance, it might check if the expected return is high and risk is low to advise investment.
-**Inductive Module:** If no deductive rule applies, the agent uses past data or heuristic matching to suggest a probable outcome (e.g., inferring a diagnosis from similar past cases).
3.**LLM Integration & Tool Usage:**
The agent communicates with an LLM (via OpenRouter API) following the ReAct pattern. It can take actions by invoking tools (e.g., a calculator) and then incorporate the resulting observation into its next reasoning step.
4.**Final Answer Generation:**
Once the agent reaches a confident conclusion, it outputs the final answer in a JSON response.
Below is the full TypeScript code. Save this as a single file (e.g., `index.ts`) for deployment with Deno.
```typescript
/**
* Agentic ReAct Agent Template (Deno)
*
* This agent follows the ReAct (Reasoning + Acting) logic pattern, integrates with the OpenRouter API for LLM interactions,
* and supports tool usage within a structured agent framework. It now also includes an agentic reasoning engine
* that combines deductive and inductive reasoning for multi-domain decision making.
*
* ## Setup
* - Ensure you have a Deno runtime available (e.g., in your serverless environment).
* - Set the environment variable `OPENROUTER_API_KEY` with your OpenRouter API key.
* - (Optional) Set `OPENROUTER_MODEL` to specify the model (default is "openai/o3-mini-high").
* - This script requires network access to call the OpenRouter API. When running with Deno, use `--allow-net` (and `--allow-env` to read env variables).
*
* ## Deployment (Fly.io)
* 1. Create a Dockerfile using a Deno base image (e.g. `denoland/deno:alpine`).
* - In the Dockerfile, copy this script into the image and use `CMD ["run", "--allow-net", "--allow-env", "agent.ts"]`.
* 2. Set the `OPENROUTER_API_KEY` as a secret on Fly.io (e.g., `fly secrets set OPENROUTER_API_KEY=your_key`).
* 3. Deploy with `fly deploy`. The app will start an HTTP server on port 8000 by default.
*
* ## Deployment (Supabase Edge Functions)
* 1. Install the Supabase CLI and login to your project.
* 2. Create a new Edge Function: `supabase functions new myagent`.
* 3. Replace the content of the generated `index.ts` with this entire script.
* 4. Ensure to add your OpenRouter API key: run `supabase secrets set OPENROUTER_API_KEY=your_key` for the function's environment.
* 5. Deploy the function: `supabase functions deploy myagent --no-verify-jwt`.
* 6. The function will be accessible at the URL provided by Supabase.
*
* ## Usage
* Send an HTTP POST request to the deployed endpoint with a JSON body: { "query": "your question", ... }.
* The response will be a JSON object: { "answer": "the answer from the agent" }.
*
* ## Customization
* - **Deductive Reasoning:** Edit or add rules in the `applyDeductive` method of the Agent class.
* - **Inductive Reasoning:** Extend the case databases (e.g., `medicalCases`, `legalCases`) or modify the matching logic in `applyInductive`.
* - **Domain Support:** The agent currently supports "financial", "medical", and "legal". Add additional domains by updating both reasoning methods.
* - **Prompt Engineering:** Modify `systemPrompt` to instruct the LLM regarding the use of tools and the desired ReAct format.
- geeksforgeeks.org – Overview of deductive reasoning and its application in AI systems.
- zilliz.com – Discussion on neuro-symbolic integration and transparency in AI reasoning.
- aisera.com – Insights into inductive reasoning and pattern recognition within AI agents.
- Deno Standard Library Documentation, available at [deno.land/std](https://deno.land/std)
- Supabase Edge Functions Documentation, available at [supabase.com/docs](https://supabase.com/docs)
---
This tutorial provided a full walkthrough—from theoretical foundations to deployment—of building an agentic AI system using a single-file TypeScript ReAct agent. You can now customize and extend this implementation for various domains, ensuring robust and transparent decision-making in your applications.