Positive and negative proofs for circuits and branching programs (Q896677)

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scientific article; zbMATH DE number 6519454
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Positive and negative proofs for circuits and branching programs
scientific article; zbMATH DE number 6519454

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    Positive and negative proofs for circuits and branching programs (English)
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    10 December 2015
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    The authors think that the negative proofs are a neglected aspect of counting. They introduce the notion of negative proof tree. Based on some complexity class C, Zap-C is the class of functions counting positive and negative proofs. They prove that Zap-BWBP \(\subseteq\) Zap-NC\(_1\) \(\subseteq\) Zap-PBP.
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    circuits
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    counting
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    arithmetization
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    number of positive proofs
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    number of negative proofs
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    branching programs
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