feat: add De Bruijn index reduction engine

Closes #26

- Added -i flag to select interpreter (lambda or debruijn)
- Created debruijn package with Expression interface
  - Variable contains index and optional label
  - Abstraction contains only body (no parameter)
  - Application structure remains similar
- Implemented De Bruijn reduction without variable renaming
  - Shift operation handles index adjustments
  - Substitute replaces by index instead of name
- Abstracted Engine into interface with two implementations
  - LambdaEngine: original named variable engine
  - DeBruijnEngine: new index-based engine
- Added conversion functions between representations
  - LambdaToDeBruijn: converts named to indexed
  - DeBruijnToLambda: converts indexed back to named
  - SaccharineToDeBruijn: direct saccharine to De Bruijn
- Updated main to switch engines based on -i flag
- All test samples pass with both engines

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>
This commit is contained in:
2026-01-12 21:27:40 -05:00
parent 335ce95c50
commit f3b9137d75
16 changed files with 679 additions and 63 deletions

30
pkg/debruijn/reduce.go Normal file
View File

@@ -0,0 +1,30 @@
package debruijn
func IsViable(e *Expression) (*Abstraction, Expression, bool) {
if e == nil {
return nil, nil, false
} else if app, appOk := (*e).(*Application); !appOk {
return nil, nil, false
} else if fn, fnOk := app.abstraction.(*Abstraction); !fnOk {
return nil, nil, false
} else {
return fn, app.argument, true
}
}
func ReduceAll(e *Expression, step func()) {
it := NewIterator(e)
for !it.Done() {
if fn, arg, ok := IsViable(it.Current()); !ok {
it.Next()
} else {
it.Swap(Substitute(fn.body, arg))
step()
if _, _, ok := IsViable(it.Parent()); ok {
it.Back()
}
}
}
}