皆様
池上大祐氏と横山啓太氏による講演会を以下の通り行いますので、 ふるってご参加下さい。
Sendai Logic Seminar 特別講演会 日時:3月8日 15:00 - 17:30 場所:東北大学大学院理学研究科(青葉山) 合同A棟2階 202号室
**************************
Sendai Logic Seminar: Special Lectures Date: March 8 (Tuesday) Place: Room 202, Science Complex A Tohoku University (Aobayama)
15:00 - 16:00 Speaker: Daisuke Ikegami 池上大祐 (東京電機大学) Title: Introduction to \Omega-logic Abstract: In this talk, we give some basic ideas on Woodin's \Omega-logic. If time permits, we discuss the connections between \Omega-logic and Boolean valued higher order logics.
16:30 - 17:30 Speaker: Keita Yokoyama 横山啓太 (JAIST, U.C. Berkeley) Title: Nonstandard models of subsystems of PA and KP Abstract: There are several similarities between nonstandard models of subsystems of PA and nonstandard models of subsystems of KP. Using nonstandard models of PRA and ISigma_1, one can prove the Parsons theorem, which states that the provably total functions of ISigma_1 are primitive recursive functions. In contrast to the Parsons theorem, Rathjen showed that the provably total functions of KP^-+Sigma_1-foundation+Pi_1-foundation are so-called primitive recursive set functions. In this talk, we will prove Rathjen's theorem by using recursively saturated models of KP^-. This is a joint work with Tin Lok Wong.
連絡先:田中一之(東北大学)