Spectrum problem
Thesis title in Czech: | Problém spektra |
---|---|
Thesis title in English: | Spectrum problem |
Key words: | Scholzův problém, spektrum, Asserův problém, zobecněné spektrum, Cobhamova věta |
English key words: | Scholz's problem, spectrum, Asser's problem, generalized spectrum, Cobham's theorem |
Academic year of topic announcement: | 2019/2020 |
Thesis type: | Bachelor's thesis |
Thesis language: | angličtina |
Department: | Department of Algebra (32-KA) |
Supervisor: | prof. RNDr. Jan Krajíček, DrSc. |
Author: | hidden - assigned and confirmed by the Study Dept. |
Date of registration: | 21.10.2019 |
Date of assignment: | 21.10.2019 |
Confirmed by Study dept. on: | 21.11.2019 |
Date and time of defence: | 29.06.2020 10:00 |
Date of electronic submission: | 02.06.2020 |
Date of submission of printed version: | 04.06.2020 |
Date of proceeded defence: | 29.06.2020 |
Opponents: | doc. Mgr. Jan Šaroch, Ph.D. |
Guidelines |
Nastudovat a presentovat definici spektra uzavřené formule 1. řádu a souvislost těchto spekter s množinami z třídy výpočetní složitosti NE. Najít příklady zajímavých množin přirozených čísel, která jsou spektra. |
References |
A. Durand, N.D. Jones, J.A. Makowsky and M. More,
Fifty Years of the Spectrum Problem: Survey and New Results, preprint (submitted to the Bulletin of Symbolic Logic), 2009 http://www.diku.dk/hjemmesider/ansatte/neil/SpectraSubmitted.pdf R.Fagin, Finite-model theory - a personal perspective, Th.Comp.Sci, 116, (1993), 3-31. |
Preliminary scope of work |
Problém spektra z teorie konečných modelů je jeden z nejstarších problémů
blízkých slavnému novodobému P vs. NP problému. |
Preliminary scope of work in English |
The spectrum problem from finite model theory is one of the oldest
problems close to the famous contemporary P versus NP problem. |