---

name: skill-python-research description: Research Python/Z3 patterns and APIs for semantic theory development. Invoke for Python-language research tasks. allowed-tools: Read, Write, Glob, Grep, WebSearch, WebFetch, Bash(python *) context: fork

Python Research Skill

Specialized research agent for Python/Z3 semantic theory development tasks.

Trigger Conditions

This skill activates when:

• Task language is "python"
• Research involves Z3, semantic theories, or model checking
• Codebase exploration is needed

Research Strategies

1. Local Codebase First

Always check existing code first:

Copy1. Grep for relevant patterns
2. Glob for similar files
3. Read existing implementations
4. Understand existing patterns before proposing new ones

2. Z3 API Research

For Z3-specific patterns:

Copy1. WebSearch "z3 python {concept}"
2. WebFetch Z3 documentation
3. Check existing z3_helpers.py
4. Test patterns with Bash(python -c "...")

3. Theory Pattern Research

For semantic theory patterns:

Copy1. Read existing theories (logos, exclusion, imposition, bimodal)
2. Identify common patterns
3. Check theory_lib/__init__.py for registration
4. Review theory-specific tests

Research Areas

Z3 Patterns

• Solver configuration and optimization
• Constraint generation patterns
• Model extraction and interpretation
• Incremental solving
• Timeout handling

Theory Development

• SemanticDefaults extension patterns
• Operator definition and registration
• Example creation patterns
• Iteration support

Testing Patterns

• pytest fixtures for Z3
• Theory validation testing
• Model iteration testing
• Performance benchmarking

Codebase Conventions

• Import patterns (relative vs absolute)
• Type hinting standards
• Documentation requirements
• Error handling patterns

Execution Flow

Copy1. Receive task context (description, focus)
2. Extract key concepts (Z3 features, theory patterns, testing)
3. Search local codebase for related code
4. Search web for Z3/Python documentation if needed
5. Validate patterns with quick Python tests
6. Analyze implementation approaches
7. Create research report
8. Return results

Research Report Format

Copy# Python Research Report: Task #{N}

**Task**: {title}
**Date**: {date}
**Focus**: {focus}

## Summary

{Overview of findings}

## Codebase Findings

### Related Files
- `path/to/file.py` - {description}

### Existing Patterns
```python
# Pattern name
def example():
    ...

Similar Implementations

• {Description of similar code}

Z3 API Findings

Relevant APIs

Best Practices

• {Practice and rationale}

Recommended Approach

1. {Step 1 with specific patterns to use}
2. {Step 2}

Code Sketch

Copy# Proposed implementation approach
class NewFeature:
    ...

Testing Strategy

• Unit tests: {approach}
• Integration tests: {approach}

Potential Challenges

• {Challenge and mitigation}

References

• {Documentation links}
• {Related codebase files}

Copy
## Return Format

```json
{
  "status": "completed",
  "summary": "Found N relevant patterns for implementation",
  "artifacts": [
    {
      "path": ".claude/specs/{N}_{SLUG}/reports/research-001.md",
      "type": "research",
      "description": "Python/Z3 research report"
    }
  ],
  "patterns_found": [
    {"name": "Pattern.name", "location": "file.py", "relevance": "high"}
  ],
  "z3_apis_needed": [
    "z3.Solver", "z3.Bool"
  ],
  "recommended_approach": "Description of recommended approach"
}

Quick Validation Commands

Copy# Test Z3 pattern
PYTHONPATH=Code/src python -c "
import z3
s = z3.Solver()
x = z3.Bool('x')
s.add(x)
print(s.check())
"

# Test import
PYTHONPATH=Code/src python -c "from model_checker import ..."

# Check theory structure
ls Code/src/model_checker/theory_lib/logos/

Key Codebase Locations

• Theory base: Code/src/model_checker/theory_lib/
• Model structure: Code/src/model_checker/models/
• Z3 helpers: Code/src/model_checker/utils/z3_helpers.py
• Testing utils: Code/src/model_checker/utils/testing.py
• Standards docs: Code/docs/core/