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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मुख्य लेखक: Kwon, Sophia Seoyoung
अन्य लेखक: Williams, R. Ryan
स्वरूप: थीसिस
प्रकाशित: Massachusetts Institute of Technology 2023
ऑनलाइन पहुंच:https://hdl.handle.net/1721.1/151533
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author Kwon, Sophia Seoyoung
author2 Williams, R. Ryan
author_facet Williams, R. Ryan
Kwon, Sophia Seoyoung
author_sort Kwon, Sophia Seoyoung
collection MIT
description 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.
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spelling mit-1721.1/1515332023-08-01T03:57:29Z Toward improved non-interactive proof systems Kwon, Sophia Seoyoung Williams, R. Ryan Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science 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. M.Eng. 2023-07-31T19:46:49Z 2023-07-31T19:46:49Z 2023-06 2023-06-06T16:35:08.444Z Thesis https://hdl.handle.net/1721.1/151533 In Copyright - Educational Use Permitted Copyright retained by author(s) https://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology
spellingShingle Kwon, Sophia Seoyoung
Toward improved non-interactive proof systems
title Toward improved non-interactive proof systems
title_full Toward improved non-interactive proof systems
title_fullStr Toward improved non-interactive proof systems
title_full_unstemmed Toward improved non-interactive proof systems
title_short Toward improved non-interactive proof systems
title_sort toward improved non interactive proof systems
url https://hdl.handle.net/1721.1/151533
work_keys_str_mv AT kwonsophiaseoyoung towardimprovednoninteractiveproofsystems