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Wang"},"license":"MIT","keywords":["llm","declarative","dirac","bra-ket"],"description":"LLM-Augmented Declarative Execution","maintainers":[{"name":"diraclang","email":"wangzhi_63@yahoo.com"}],"readme":"# Dirac: The Agentic Recursive Language for LLM-Augmented Computing\n\n## What is Dirac?\n\nDirac is a **declarative execution language** specifically designed for the AI era, where large language models (LLMs) are not just tools, but active participants in code execution. It's named after physicist Paul Dirac and his bra-ket notation, reflecting its dual nature: bridging human-readable declarations with machine execution.\n\n## The Recursive LLM Paradigm\n\nTraditional programming languages separate code from AI. You write code, then separately call an LLM API. Dirac **eliminates this boundary**:\n\n```xml\n<llm execute=\"true\">\n  Create a Dirac program that lists all .txt files, \n  reads the first one, and summarizes it.\n</llm>\n```\n\nThe LLM doesn't just respond—it **generates Dirac code that immediately executes**. The generated code can itself call LLMs, creating a **recursive chain** where AI and execution seamlessly interweave.\n\n## Agentic by Design\n\nDirac treats LLMs as **autonomous agents** that can:\n\n- **Generate executable code** on-the-fly\n- **Make decisions** based on runtime data\n- **Invoke system commands** and process their output\n- **Call themselves recursively** to break down complex tasks\n- **Import and compose libraries** for modular problem-solving\n\nExample of an agentic workflow:\n\n```xml\n<!-- LLM generates a subroutine and loads it onto the stack -->\n<llm execute=\"true\">\n  <system>ls -la</system>\n  Create a subroutine named \"analyze-files\" that processes these files.\n</llm>\n\n<!-- Immediately call the generated subroutine -->\n<analyze-files />\n```\n\nThe LLM sees real system state, generates a subroutine that's instantly available on the stack, and you can call it—all in one flow.\n\n> **📘 Deep Dive**: For a comprehensive technical analysis of why Dirac's architecture naturally embodies agentic primitives—including its subroutine stack as a tool registry, hierarchical exception handling for planning, and boundary-based scoping—see **[AGENTIC-RUNTIME.md](AGENTIC-RUNTIME.md)**.\n\n## Neural-Symbolic AI: Bridging Symbolic Reasoning and Neural Networks\n\nDirac is not just agentic—it's also a natural fit for **neural-symbolic AI**. Its bra/ket-inspired knowledge representation allows you to express and connect symbolic logic and neural computation in a unified language. See **[bra-ket-duality-paper.md](docs/bra-ket-duality-paper.md)** for a deep dive into the mathematical foundations.\n\n**Example: Aristotle’s Syllogism**\n\n- All humans are mortal.\n- Socrates is a human.\n- Therefore, Socrates is mortal.\n\nIn Dirac’s bra/ket notation, this can be represented as:\n- `|mortal⟩⟨human|` (all humans are mortal)\n- `|human⟩⟨Socrates|` (Socrates is a human)\n\nWhen you ask `|Socrates⟩`, chaining these together yields `|mortal⟩`.\n\nFrom a **neural network** perspective, these bra/ket pairs are like matrices (or tensors), and the input `|Socrates⟩` is a vector. The network applies transformations—possibly nonlinear—to produce an output.\n\nFrom a **symbolic AI** perspective, these are like Dirac subroutines:\n```xml\n<subroutine name=\"human\">\n  <mortal/>\n</subroutine>\n```\nOr, in Dirac’s shorthand:\n```\n<human|\n  |mortal>\n```\n\n**Dirac bridges these worlds:**  \n- As a symbolic language, it lets you define and chain logical relationships explicitly.\n- As a bridge to neural networks, it enables LLMs and other neural models to participate in these chains, providing generative, nonlinear reasoning when needed.\n\nDirac is the missing link for building systems where **symbolic structure and neural intelligence work together**—making it ideal for the next generation of explainable, powerful AI.\n\n## Key Features\n\n### 1. **Interactive Agentic Shell (`dish`)**\nA hybrid shell combining bash, Dirac, and natural language:\n```bash\n$ dish\n> ls src\ncore/  stdlib/  cli/\n\n> ? create a backup script for all my documents\n[LLM generates and registers backup subroutine]\n\n> |backup path=/Users/alice/Documents>\nBacking up 342 files...\nDone.\n```\n\ndish blends bash commands, braket notation (`|tag>`), and LLM intelligence into one seamless environment. The LLM remembers context, generates tools on demand, and you can use them immediately.\n\n### 2. **Seamless LLM Integration**\nLLMs are first-class citizens, not afterthoughts:\n```xml\n<llm>What is 2+2?</llm>  <!-- Direct output -->\n<llm output=\"result\">Calculate 2+2</llm>  <!-- Store in variable -->\n<llm execute=\"true\">Write a loop</llm>  <!-- Generate and execute code -->\n```\n\n### 3. **Declarative Simplicity**\nExpress **what** you want, not **how** to do it:\n```xml\n<llm>\n  <system>df -h</system>\n  Summarize the disk usage above\n</llm>\n```\n\n### 4. **Recursive Composition**\nPrograms can generate programs:\n```xml\n<subroutine name=\"analyze\">\n  <llm execute=\"true\">\n    Generate code to analyze <variable name=\"data\"/>\n  </llm>\n</subroutine>\n```\n\n### 5. **Bra-Ket Notation** (Optional Compact Syntax)\nInspired by quantum mechanics, our `.bk` format reduces verbosity:\n\n**XML (.di):**\n```xml\n<subroutine name=\"greet\">\n  <parameters select=\"@name\"/>\n  <output>Hello, <variable name=\"name\"/>!</output>\n</subroutine>\n<greet name=\"World\"/>\n```\n\n**Bra-Ket (.bk):**\n```\n<greet|\n  |parameters select=@name>\n  |output>Hello, |variable name=name>!\n\n|greet name=World>\n```\n\n### 6. **Library Ecosystem**\nImport and compose functionality with namespace-safe prefixes:\n```xml\n<import src=\"dirac-http\"/>\n<HTTP_GET url=\"https://api.example.com\"/>\n\n<import src=\"dirac-database\"/>\n<DB_QUERY>SELECT * FROM users</DB_QUERY>\n```\n\n## Real-World Use Cases\n\n### System Administration\n```xml\n<llm execute=\"true\">\n  <system>docker ps</system>\n  Analyze these containers and create Dirac code to \n  restart any that are unhealthy.\n</llm>\n```\n\n### Data Analysis\n```xml\n<llm execute=\"true\">\n  <system>cat data.csv | head -20</system>\n  What patterns do you see? Generate a subroutine named \"process-data\" \n  to analyze the full file.\n</llm>\n<process-data />\n```\n\n### Task Automation\n```xml\n<llm execute=\"true\">\n  I need to backup all .js files modified today to ~/backup.\n  Write Dirac code to do this.\n</llm>\n```\n\n### Multi-Agent Workflows\n```xml\n<!-- First agent: analyze logs -->\n<llm execute=\"true\">\n  Analyze logs in /var/log. Create a subroutine named \"analyze-logs\".\n</llm>\n<analyze-logs />\n\n<!-- Second agent: summarize and report -->\n<llm execute=\"true\">\n  Based on the log analysis above, create a subroutine named \"email-report\" \n  that summarizes findings and emails the report.\n</llm>\n<email-report />\n```\n\n## Why \"Recursive\" Matters\n\nIn traditional programming, recursion means a function calling itself. In Dirac, **the entire execution model is recursive**:\n\n1. **Code generates code**: LLMs output Dirac programs\n2. **Programs invoke LLMs**: Those programs can ask LLMs for more code\n3. **Infinite depth**: This can continue to arbitrary depths (with safety limits)\n4. **Context flows**: Each layer has access to results from previous layers\n\nThis creates a **self-extending** execution environment where the boundary between \"prompt\" and \"program\" dissolves.\n\n## Installation\n\n```bash\nnpm install -g dirac-lang\n```\n\n## Quick Start\n\n**hello.di:**\n```xml\n<dirac>\n  <output>Hello, World!</output>\n</dirac>\n```\n\n**Run it:**\n```bash\ndirac hello.di\n```\n\n**With LLM (requires API key):**\n```bash\nexport ANTHROPIC_API_KEY=your-key\necho '<dirac><llm>Write a haiku about code</llm></dirac>' | dirac -\n```\n\n## The Agentic Shell: `dish`\n\n**dish** (Dirac Interactive Shell) is where Dirac truly shines as an agentic runtime. It's a **hybrid shell** that seamlessly blends three worlds:\n\n1. **Bash compatibility**: Run regular shell commands (`ls`, `cd`, `grep`, etc.)\n2. **Dirac execution**: Execute braket notation commands (`|output>`, `|greet name=X>`)\n3. **Natural language**: Ask questions or give commands in plain English\n\nWhen you type text without special syntax, dish first tries to execute it as a bash command. If no bash command matches, it sends the input to the LLM as a natural language request. To force LLM interpretation, start with `?` or `|ai>`.\n\n```bash\ndish\n```\n\n**In dish, you can:**\n\n- **Run bash commands**: `ls -tl`, `cd src`, `cat file.txt` - all work as normal\n- **Execute Dirac braket notation**: `|output>Hello!`, `|greet name=Alice>`, `|list-subroutines>`\n- **Natural language queries**: Text input tries bash first, falls back to LLM if no command matches\n- **Force LLM mode**: Start with `?` or `|ai>` to bypass bash and go straight to natural language\n- **Get help**: Type `:help` to see available commands and usage examples\n- **Maintain context**: The LLM remembers your conversation and previous actions\n- **Call generated subroutines**: Functions created by the LLM are instantly available\n\n**Example session:**\n```\n$ dish\nDirac Shell (dish) - Agentic Runtime\n\n> :help\ndish - Dirac Interactive Shell\nCommands:\n  :help              Show this help message\n  :exit, :quit       Exit the shell\n  bash commands      Run any bash command (ls, cd, grep, etc.)\n  |tag-name>         Execute Dirac braket notation\n  ? <prompt>         Force LLM interpretation\n  |ai> <prompt>      Force LLM interpretation\n  text               Try bash first, fallback to LLM if no match\n\n> ls -tl\ndrwxr-xr-x  5 user  staff   160 Jul 29 10:30 src\n-rw-r--r--  1 user  staff  1234 Jul 29 10:25 README.md\n\n> ? create a subroutine that greets people by name\n[LLM generates subroutine using braket notation]\nSubroutine 'greet' registered.\n\n> |greet name=Alice>\nHello, Alice!\n\n> |list-subroutines>\n- greet: Greets a person by name\n- output: Outputs text\n- system: Run shell commands\n...\n```\n\n**Setup**: dish requires `config.yml` with your LLM provider settings.\n\nLocal-first setup (no subscription):\n\n```bash\nbrew install ollama\nbrew services start ollama\nollama pull qwen2.5:3b\n\nmkdir -p ~/.dirac\ncat > ~/.dirac/config.yml << EOF\nllmProvider: ollama\nllmModel: qwen2.5:3b\nEOF\n```\n\nProvider config examples:\n\n```yaml\n# Dirac configuration\nllmProvider: anthropic  # or openai, ollama, custom\nllmModel: claude-sonnet-4-5-20250929\n\n# For custom LLM server:\n# llmProvider: custom\n# customLLMUrl: http://localhost:5001\n\n# Set API key in environment\n# export ANTHROPIC_API_KEY=your-key\n```\n\ndish transforms Dirac from a language into a **conversational programming environment** where the boundary between code and natural language disappears.\n\n## Philosophy\n\nDirac embraces three principles:\n\n1. **LLMs are co-pilots, not tools**: They execute alongside your code, not as external services\n2. **Declarative over imperative**: Say what you want, let AI figure out how\n3. **Composable intelligence**: Small, reusable pieces combine into powerful workflows\n\n## Future Vision\n\nWe're building toward a world where:\n- **Natural language prompts** compile to executable Dirac\n- **AI-generated libraries** extend functionality on-demand  \n- **Self-improving programs** refactor themselves based on execution patterns\n- **Multi-model orchestration** lets different LLMs collaborate on subtasks\n\n## Community\n\n- **GitHub**: [diraclang/dirac](https://github.com/diraclang/dirac)\n- **npm**: [dirac-lang](https://www.npmjs.com/package/dirac-lang)\n- **License**: MIT\n- **Status**: Active development (v0.1.0)\n\n## Join the Movement\n\nDirac is more than a language—it's a **paradigm shift** in how we think about code and AI. If you believe that:\n\n- Programming should be more **declarative**\n- LLMs should be **execution partners**, not API endpoints\n- Code should **generate code** dynamically\n- The future is **agentic** and **recursive**\n\n...then Dirac is for you.\n\n**Start building the future today.**\n\n```bash\nnpm install -g dirac-lang\n```\n\n## Documentation\n\nFor detailed guides on using Dirac:\n\n- **[Getting Started](GETTING-STARTED.md)** - Installation and first programs\n- **[Dirac as an Agentic Runtime](AGENTIC-RUNTIME.md)** - Why Dirac is naturally suited for LLM agents\n- **[Quick Start Library Guide](QUICKSTART-LIBRARY.md)** - Building reusable libraries\n- **[LLM Integration](LLM-DIALOG-CONTEXT.md)** - Working with LLMs in Dirac\n- **[Subroutine Management](SUBROUTINE-MANAGEMENT.md)** - Stack operations and subroutine control\n- **[Training Data Export](TRAINING-DATA-EXPORT.md)** - Creating fine-tuning datasets\n- **[Debugging](DEBUGGING.md)** - Debug mode and troubleshooting\n- **[Exception Handling](EXCEPTION-HANDLING.md)** - Error handling and recovery\n- **[Namespaces](NAMESPACES.md)** - Organizing code with namespaces\n- **[Libraries](LIBRARIES.md)** - Using and creating libraries\n- **[Conditional Tags](CONDITIONAL-TAGS.md)** - Control flow patterns\n\n---\n\n*\"In the quantum realm, a bra meets a ket to produce reality. In Dirac, a declaration meets an LLM to produce execution.\"*\n\n## PAUL: The Human-Friendly Dirac Dialect\n\nDirac's XML-based language is designed for robust machine execution and symbolic reasoning. For human authors, we introduce **PAUL** (Pattern Action Utility Language)—a concise, bra/ket-inspired notation for writing Dirac programs quickly and intuitively.\n\n- PAUL uses bra/ket syntax and positional arguments for readability.\n- It is ideal for human editing, rapid prototyping, and LLM prompts.\n- PAUL scripts are typically saved with the `.bk` extension.\n- The Dirac interpreter translates PAUL to XML Dirac for execution.\n\n**Example:**\n\nPAUL (.bk):\n```\n|greet Alice>\n```\n\nDirac XML (.di):\n```xml\n<greet name=\"Alice\" />\n```\n\n**Note:**\n- PAUL relies on conventions for mapping positional arguments to named parameters.\n- For machine execution, always convert PAUL to XML Dirac.\n- The `.bk` extension is recommended for PAUL scripts.\n\nPAUL is the human-centric dialect of Dirac—optimized for clarity, speed, and LLM interaction.\n\n<!-- dirac push probe: 2026-09-07T20:09:31Z -->\n","readmeFilename":"README.md"}