Course topics

  • Review of Logic
  • Crieteria for completeness of axiom systems
  • Review of Turing machines computability
  • The recursion theorem and its uses
  • Formal systems and arithmetization of syntax
  • representation of recursive function in arithmetic
  • Godel’s fixed-point theorem. First incompleteness theorem
  • Loeb’s theorem and Godel’s second incompleteness theorem
  • Additional advanced material

Course Information

University course catalogue:
201.1.5131
Level:
Advanced Undergraduate
Credits:
4.0

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