Constructions of classical models by means of Kripke models (survey)
Copyright policy )Constructions of classical models by means of Kripke models (survey)
It is demonstrated how Kripke models for intuitionistic predicate logic can be applied in order to prove classical theorems. As examples proofs of the independence of the axiom of constructibility, of the omitting types theorem and of Shelah's ultrapower theorem are sketched.
- Tio Business School Netherlands
- Humboldt-Universität zu Berlin Germany
Inner models, including constructibility, ordinal definability, and core models, Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, Ultraproducts and related constructions, Kripke models, omitting types theorem, Consistency and independence results, Nonclassical models (Boolean-valued, sheaf, etc.), Shelah's ultrapower theorem, axiom of constructibility
Inner models, including constructibility, ordinal definability, and core models, Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, Ultraproducts and related constructions, Kripke models, omitting types theorem, Consistency and independence results, Nonclassical models (Boolean-valued, sheaf, etc.), Shelah's ultrapower theorem, axiom of constructibility
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!