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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.

5 votes
2 answers
422 views

complexity of proof of p(n) grows greater with n if for all x P(x) is unprovable?

Is it true that if "for all x P(x)" is unprovable in pA then the complexity of the proof of P(n) becomes greater as n grows bigger?
Anders Göransson's user avatar
5 votes
2 answers
339 views

Literature on Kripke models

Which is the best introduction to Kripke-models for modal logics? I am a M.Sc in mathematics and know predicatlogic.
Anders Göransson's user avatar