161 citations
- National Astronomical Observatory of JapanJP12 papers
- The University of TokyoJP10 papers
- Chiba UniversityJP8 papers
- Kyoto UniversityJP8 papers
- Bunkyo UniversityJP5 papers
- Ehime UniversityJP5 papers
- Nagoya UniversityJP5 papers
- Tokyo Keizai UniversityJP5 papers
- The Graduate University for Advanced Studies, SOKENDAIJP4 papers
- The University of OsakaJP4 papers
- Western UniversityCA4 papers
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47 papers
Truth Predicate of Inductive Definitions and Logical Complexity of Infinite-Descent Proofs
Sohei Ito, Makoto Tatsuta
Formal reasoning about inductively defined relations and structures is widely recognized not only for its mathematical interest but also for its importance in computer science, and…
Encoding Peano Arithmetic in a Minimal Fragment of Separation Logic
Sohei Ito, Makoto Tatsuta
Separation logic is successful for software verification of heap-manipulating programs. Numbers are necessary to be added to separation logic for verification of practical software…
Variational stabilization of degenerate p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
A new stabilization phenomenon induced by degenerate diffusion is discovered in the context of pinned planar -elasticae. It was known that in the non-degenerate regime $p\in(1,2…
No -recurrence of iterations of symplectomorphisms
Yoshihiro Sugimoto
In this article, we study the behavior of iterations of symplectomorphisms and Hamiltonian diffeomorphisms on symplectic manifolds. We prove that symplectomorphisms and Hamiltonian…
General rigidity principles for stable and minimal elastic curves
Tatsuya Miura, Kensuke Yoshizawa
For a wide class of curvature energy functionals defined for planar curves under the fixed-length constraint, we obtain optimal necessary conditions for global and local minimizers…
The Magnetic Field versus Density relation in Star-Forming Molecular Clouds
Sayantan Auddy, Shantanu Basu, Takahiro Kudoh
We study the magnetic field to density () relation in turbulent molecular clouds with dynamically important magnetic fields using nonideal three-dimensional magnetohydrodynami…