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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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Mathematical Logic and Category Theory

Description

Pure logic (weak theories in arithmetics, categorical logic, nonclassical logics) and applications of logic in computer science and artifficial intelligence. Category theory and its applications.

Seminars

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Employees

  • Theory of coalgebras and bialgebras
  • Mathematical logic: weak theories of arithmetic, in particular metamathematical properties of weak arithmetics (provability of consistency statements) and partial collapses of some hierarchies of formulae
  • Applications of logic in artificial intelligence
  • Nonclassical logics, higher-order logics, quantifier elimination, applications of logic in artificial intelligence
  • The theory of higher categories and its applications in mathematics and physics
  • Logic, theory of institutions, category theory in foundations of computer science
  • Logic, category theory, higher dimensional category theory and its applications, particularly in multitopic categories; first order categorical logic, topos theory, intuitionistic and modal logics, descent theory