Probabilistic computation and verification beyond Turing machines

6533b826fe1ef96bd128367b

RESEARCH PRODUCT

Probabilistic computation and verification beyond Turing machines

Maksims Dimitrijevs

subject

Mathematical Foundations of Computer Science Datorzinātnes Computer Science

description

Mūsu mērķis ir izpētīt dažādus ierobežotas kļūdas varbūtiskus modeļus, kas spēj definēt nesanumurējami daudz valodu. Mēs sākam ar stingrāko nosacījumu - sākumā apskatām minimālus modeļus, kas var atpazīt visas valodas. Mēs apskatām varbūtiskas Tjūringa mašīnas, varbūtiskus automātus ar skaitītājiem un varbūtiskus galīgus automātus ar dažādiem ierobežojumiem uz ievadgalviņu. Mēs apskatām arī konstantas telpas pārbaudītājus (verifiers), kas mijiedarbojas ar vienu un diviem pierādītājiem (provers) un pārbauda (verify) visas valodas. Pēc tam mēs pieminētajos modeļos apskatām nesanumurējami daudzu valodu atpazīšanu un pārbaudi ar ierobežotu kļūdu. Mēs pierādām arī jaunus rezultātus par kvantu automātu modeļiem un ultrametriskiem galīgiem automātiem (kuri izmanto p-adiskus skaitļus kā amplitūdas), kas atpazīst nesanumurējami daudz valodu.

year	journal	country	edition	language
2019-01-01

https://dspace.lu.lv/dspace/handle/7/48857

PEPhysical Sciences and Engineering
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