# Strongly Connected Components Analysis

## Method

Tarjan's algorithm applied to file-level dependency graph.

Edge types considered:
- `mod_declaration`: Parent module declares child module
- `cross_crate_import`: File imports from another crate

## Results

**No non-trivial SCCs detected.**

The file-level dependency graph is acyclic. All `mod` declarations form a strict tree structure within each crate, and cross-crate imports follow the crate dependency DAG.

## Crate-Level Cycle Analysis

The crate dependency graph was also analyzed:

```
g3 → g3-cli → g3-core → g3-providers
                      → g3-config
                      → g3-execution
                      → g3-computer-control
         → g3-planner → g3-core
                      → g3-providers
                      → g3-config
         → g3-ensembles → g3-core
                        → g3-config
```

**No cycles detected at crate level.**

The workspace forms a directed acyclic graph (DAG) with:
- Leaf crates: `g3-providers`, `g3-config`, `g3-execution`, `g3-computer-control`, `studio`
- Mid-tier crates: `g3-core`, `g3-planner`, `g3-ensembles`
- Top-tier crates: `g3-cli`, `g3`

## Implications

- No circular dependencies exist
- Build order is deterministic
- Crates can be compiled in parallel respecting the DAG