Institute of Information Science Academia Sinica
講 題: 應用邏輯討論會系列 (XXXVIII) - Asser's conjecture and descriptive complexity theory
講 者: 陳偉松 教授 (國立臺灣大學資訊工程學系)
時 間: 2018-03-23 (Fri) 15:30 – 17:30
地 點: 資訊所舊館108演講廳
邀請人: 廖純中
摘要:

In 1951, Scholz defined the notion of first-order spectra, and immediately after, in 1955, Asser asked a seemingly innocent question whether first-order spectra are closed under complement. It was rather surprising that in 1970's Jones, Selman and Fagin showed that Asser's question is indeed equivalent to the question NE vs. co-NE. In this talk we will briefly review the connection between Asser's conjecture and descriptive complexity theory. We will also highlight some recent results.