Characterizing the Existence of Optimal Proof Systems and Complete Sets for Promise Classes

  title={Characterizing the Existence of Optimal Proof Systems and Complete Sets for Promise Classes},
  author={Olaf Beyersdorff and Zenon Sadowski},
In this paper we investigate the following two questions: Q1: Do there exist optimal proof systems for a given language L ? Q2: Do there exist complete problems for a given promise class C? For concrete languages L (such as TAUT or SAT) and concrete promise classes C (such as NP *** coNP, UP, BPP, disjoint NP-pairs etc.), these questions have been intensively studied during the last years, and a number of characterizations have been obtained. Here we provide new characterizations… 

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