MA’LUMOTLAR BAZASIDA MURAKKAB SO‘ROVLAR YARATISHNING NAZARIY ASOSLARI, FORMAL MODELLARI VA OPTIMALLASHTIRISH NAZARIYASI
DOI:
https://doi.org/10.5281/zenodo.20794826Abstract
Maqolada relyatsion ma’lumotlar bazalarida murakkab so‘rovlarni yaratishning nazariy asoslari
- relyatsion algebra, kortej va domen relyatsion hisobi, birinchi tartibli predikatlar mantig‘i, so‘rov ekvivalentligi va
minimallashtirish nazariyasi tizimli ravishda tahlil qilingan. Codd teoremasi, Chandra–Merlinning konyunktiv so‘rovlar uchun
tang-konteyner teoremasi, so‘rovni hisoblash murakkabligi (data complexity, combined complexity), AGM-chegarasi va
worst-case optimal join algoritmlari ko‘rib chiqilgan. Bundan tashqari, xarajatga asoslangan optimizatorning ichki strukturasi
(Selinger uslubi, dinamik dasturlash, kardinallik bahosi, gistogrammalar, statistik mustaqillik gipotezasi) hamda so‘rovlarning
amaliy implementatsiyasi (JOIN, agregatsiya, oyna funksiyalari, CTE, rekursiya, PIVOT) izchil ravishda yoritilgan. Tadqiqot
natijalari nazariy informatika, ma’lumotlar muhandisligi va axborot tizimlari sohalarida ilmiy hamda amaliy ahamiyatga ega.
Keywords
relyatsion algebra, relyatsion hisob, konyunktiv so‘rov, Chandra–Merlin teoremasi, AGM-chegarasi, so‘rov ekvivalentligi, kardinallik bahosi, Selinger optimizatori, data complexity, oyna funksiyasi, rekursiv CTE, fixed-point semantikasi.References
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