I'm a mathematical logician.
My major research interests are Gödel's incompleteness theorems and provability logic.
I'm working at Graduate School of System Informatics, Kobe University, Japan.
My research keywords are as follows:
- The incompleteness theorems (undecidable propositions, theories of arithmetic, paradoxes, partial conservativity, disjunction and extensce properties)
- Provability predicates (derivability conditions, Rosser's predicate)
- Provability logic (\(\mathbf{GL}\), interpretability logic \(\mathbf{IL}\), logic of proofs \(\mathbf{LP}\))
- Modal logic (interpolation theorem, fixed point theorem)
- Modal arithmetic
- Semi-classical arithmetic
CV
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ResearchGate
Literature Collection on Provability Logic (Some descriptions are in Japanese)