On August 31 and September 1, 2020, Junguk Lee (이정욱) from KAIST gave a 6-hour-long talk on the model theory with the focus on the stability, NIP, and the VC dimension at the Discrete Math Seminar. The title of his talk was “a quick introduction to stability and NIP”. The part 1 “basics” and the part 2 “stability” were coved on August 31, for 1.5 hours each, and the part 3 “NIP” was covered on September 1 for 3 hours (10:30-11:30, 3:00-4:00, 4:10-5:10).
I give a quick survey on stability and NIP(Non-Independent Property). We first review basic facts on the first order logic and give some historical remarks on classification theory in model theory. We review basic properties of stability and NIP. Finally, we aim to give several characterizations of stability and NIP of a given formula in terms of counting types and definability types.
I give a quick survey on stability and NIP(Non-Independent Property). We first review basic facts on the first order logic and give some historical remarks on classification theory in model theory. We review basic properties of stability and NIP. Finally, we aim to give several characterizations of stability and NIP of a given formula in terms of counting types and definability types.
I give a quick survey on stability and NIP(Non-Independent Property). We first review basic facts on the first order logic and give some historical remarks on classification theory in model theory. We review basic properties of stability and NIP. Finally, we aim to give several characterizations of stability and NIP of a given formula in terms of counting types and definability types.
