Expressing versus Proving: Relating Forms of Complexity in Logic Antonina Kolokolova Memorial University of Newfoundland, Canada The program of Bounded Reverse Mathematics studies computational complexity of concepts needed to prove theorems. But what does it mean to have a theorem provable with, for example, polynomial-time concepts, or non-deterministic logspace concepts? This talk presents a framework for defining theories of (bounded) arithmetic corresponding precisely to feasible complexity classes. In particular, I will talk about building theories of bounded arithmetic based on logics (in finite model theory sense) of known descriptive complexity.
Antonina Kolokolova. Memorial University of Newfoundland, Canada ... complexity classes. In particular, I will talk about building theories of bounded arithmetic.
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