Circuit-size Lower Bounds and Non-reducibility to Sparse Sets

As remarked in Cook (1980), we do not know any nonlinear lower bound on the circuit-size of a language in P or even in NP. The best known lower bound seems to be due to Paul (1975). In this paper we show that first for each nonnegative integer k, there is a language Lk in Σ2∩π2 (of Meyer and Stockme...

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Bibliographic Details
Main Author: Kannan, Ravindran
Published: 2023
Online Access:https://hdl.handle.net/1721.1/149016