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Št. zadetkov: 3
Formalization of the structure sheaf of a ring spectrum
Maša Žaucer, Andrej Bauer, Egbert Rijke
Diplomsko delo
Oznake: dependent type theory;constructive mathematics;formalization;Zariski locale;structure sheaf;
With the development of proof assistants, the demand on formalization of different fields of mathematics is increasing. The aim of the thesis is to develop the theory of the structure sheaf of a ring spectrum in a constructive context in order to formalize it in Agda proof assistant, based on unival ...
Leto: 2024 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Obrnljive funkcije so sfere v svetu
Timon Najdovski, Andrej Bauer, Egbert Rijke
Diplomsko delo
Oznake: homotopska teorija tipov;obrnljivost;ekvivalenca;sfera;
Predstavimo definicijo sodb in kontekstov ter predstavimo njihovo uporabo za definicijo konstrukcij tipov v Martin-Löfovi teoriji odvisnih tipov. Na funkcijah vpeljemo pojma obrnljivosti in ekvivalence ter pokažemo, da sta logično ekvivalentna. Na tipih vpeljemo pojma kontraktibilnosti in propozicij ...
Leto: 2024 Vir: Fakulteta za matematiko in fiziko (UL FMF)
ǂA ǂtype theory for synthetic categories
Ivan Kobe, Andrej Bauer, Egbert Rijke
Magistrsko delo
Oznake: dependent type theory;synthetic category theory;higher categories;
In this thesis, we study the interactions of dependent type theory and synthetic category theory. Our main goal is to formally express the axioms of synthetic category theory as type-theoretic derivation rules. In the first chapter, we present a detailed account of Grothendieck-Maltsiniotis $\omega$ ...
Leto: 2025 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 3
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