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