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

38
pkg/debruijn/stringify.go Normal file
View File

@@ -0,0 +1,38 @@
package debruijn
import (
"fmt"
"strings"
)
type stringifyVisitor struct {
builder strings.Builder
}
func (v *stringifyVisitor) VisitVariable(a *Variable) {
if a.label != "" {
v.builder.WriteString(a.label)
} else {
v.builder.WriteString(fmt.Sprintf("%d", a.index))
}
}
func (v *stringifyVisitor) VisitAbstraction(f *Abstraction) {
v.builder.WriteRune('\\')
v.builder.WriteRune('.')
f.body.Accept(v)
}
func (v *stringifyVisitor) VisitApplication(c *Application) {
v.builder.WriteRune('(')
c.abstraction.Accept(v)
v.builder.WriteRune(' ')
c.argument.Accept(v)
v.builder.WriteRune(')')
}
func Stringify(e Expression) string {
b := &stringifyVisitor{builder: strings.Builder{}}
e.Accept(b)
return b.builder.String()
}