Introduces the Σ^p_2 search problem DD_P and proves that hardness hypothesis (ST) for strong proof systems implies NP ≠ coNP under a model-theoretic assumption on extensions of bounded arithmetic models.
Kraj´ ıˇ cek, On the proof complexity of the Nisan-Wigderson generator based on a hard N P ∩ coN P function, J
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On $NP \cap coNP$ proof complexity generators
Introduces the Σ^p_2 search problem DD_P and proves that hardness hypothesis (ST) for strong proof systems implies NP ≠ coNP under a model-theoretic assumption on extensions of bounded arithmetic models.