Lifting To Parity Decision Trees Via Stifling With Applications To Proof Complexity

By themelower On Apr 25, 2026

Pdf Lifting To Parity Decision Trees Via Stifling We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f ∘ g as long as the gadget g satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f∘g as long as the gadget g satisfies a property that we call stifling.

On Parity Decision Trees For Fourier Sparse Boolean Functions Deepai We show that the deterministic decision tree complexity of a (partial) function or relation $f$ lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation $f \circ g$ as long as the gadget $g$ satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation $f$ lifts to the deterministic parity decision tree (pdt) size complexity of the composed. We show that the deterministic decision tree complexity of a (partial) function or relation $f$ lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation $f \circ g$ as long as the gadget $g$ satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f g as long as the gadget g satisfies a property that we call stifling.

Decision Trees We show that the deterministic decision tree complexity of a (partial) function or relation $f$ lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation $f \circ g$ as long as the gadget $g$ satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f g as long as the gadget g satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f o g as long as the gadget g satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f g as long as the gadget g satisfies a property that we call stifling. Taking cue from these developments, we consider lifting dt complexity using small gadgets to pdt and allied complexity in this work. we are able to find an interesting property of gadgets, which we call ‘stifling’, that we prove is sufficient for enabling such lifting even with constant gadget size. Summary we show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation 'f composed with g' as long as the gadget g satisfies a property that we call stifling.

General Proof For The Lower Bound Of Comparison Based Sorting We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f o g as long as the gadget g satisfies a property that we call stifling. We show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation f g as long as the gadget g satisfies a property that we call stifling. Taking cue from these developments, we consider lifting dt complexity using small gadgets to pdt and allied complexity in this work. we are able to find an interesting property of gadgets, which we call ‘stifling’, that we prove is sufficient for enabling such lifting even with constant gadget size. Summary we show that the deterministic decision tree complexity of a (partial) function or relation f lifts to the deterministic parity decision tree (pdt) size complexity of the composed function relation 'f composed with g' as long as the gadget g satisfies a property that we call stifling.

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Lifting to Parity Decision Trees via Stifling (with applications to proof complexity)

Lifting to Parity Decision Trees via Stifling (with applications to proof complexity)

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