PSPACE is provable by two provers in one round

Jin-Yi Cai, A. Condon, R. Lipton
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引用次数: 43

Abstract

It is shown that every language in PSPACE, or equivalently every language accepted by an unbounded round interactive proof system, has a one-round, two-prover interactive proof with exponentially small error probability. To obtain this result, the correctness of a simple but powerful method for parallelizing two-prover interactive proofs to reduce their error is proved.<>
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PSPACE是由两个证明者在一轮中证明的
证明了PSPACE中的每一种语言,或无界轮交互证明系统所接受的每一种语言,都具有一个单轮、双证明者交互证明,其错误概率呈指数级小。为了得到这一结果,证明了一种简单而强大的方法的正确性,这种方法可以并行化两个证明者的交互证明,以减少他们的错误。
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Gap-definable counting classes Counting classes are at least as hard as the polynomial-time hierarchy DSPACE (n/sup k/)=VAR(k+1) On the random-self-reducibility of complete sets Geometric arguments yield better bounds for threshold circuits and distributed computing
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