Toward improved non-interactive proof systems

The study of non-interactive proof systems, such as Merlin-Arthur proof systems and probabilistically checkable proofs, can yield insights into problems for which we do not yet have efficient algorithms. This work compiles many recent results in improved non-interactive proof systems–primarily Merli...

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Bibliographic Details
Main Author: Kwon, Sophia Seoyoung
Other Authors: Williams, R. Ryan
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/151533
Description
Summary:The study of non-interactive proof systems, such as Merlin-Arthur proof systems and probabilistically checkable proofs, can yield insights into problems for which we do not yet have efficient algorithms. This work compiles many recent results in improved non-interactive proof systems–primarily Merlin-Arthur protocols for problems studied in the field of fine-grained complexity–and proposes a construction for interesting Merlin-Arthur protocols for any problem from an efficiently constructable PCP for the same.