Simulation Theorems via Pseudorandom Properties
نویسندگان
چکیده
We generalize the deterministic simulation theorem of Raz and McKenzie [RM99], to any gadget which satisfies certain hitting property. We prove that inner-product and gap-Hamming satisfy this property, and as a corollary we obtain deterministic simulation theorem for these gadgets, where the gadget’s inputsize is logarithmic in the input-size of the outer function. This answers an open question posed by Göös, Pitassi and Watson [GPW15]. Our result also implies the previous results for the Indexing gadget, with better parameters than was previously known. A preliminary version of the results obtained in this work appeared in [CKLM17].
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ورودعنوان ژورنال:
- CoRR
دوره abs/1704.06807 شماره
صفحات -
تاریخ انتشار 2017