Multi-prover interactive proof systems for NEXP and RE can be made robust against polynomial bits of leakage between provers via parallel repetition and PCP conversions.
NEEXP is contained in MIP*
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Multi-Prover Interactive Proof Systems with Leakage
Multi-prover interactive proof systems for NEXP and RE can be made robust against polynomial bits of leakage between provers via parallel repetition and PCP conversions.