Graduate Logic Seminar
The Graduate Logic Seminar is an informal space where graduate student and professors present topics related to logic which are not necessarly original or completed work. This is a space focused principally on practicing presentation skills or learning materials that are not usually presented in a class.
- When: Mondays 4p-5p
- Where: Van Vleck B223.
- Organizers: Omer Mermelstein
Sign up for the graduate logic seminar mailing list: firstname.lastname@example.org
Fall 2019 - Tentative schedule
September 5 - Organizational meeting
September 9 - No seminar
September 16 - Daniel Belin
Title: Lattice Embeddings of the m-Degrees and Second Order Arithmetic
Abstract: Lachlan, in a result later refined and clarified by Odifreddi, proved in 1970 that initial segments of the m-degrees can be embedded as an upper semilattice formed as the limit of finite distributive lattices. This allows us to show that the many-one degrees codes satisfiability in second-order arithmetic, due to a later result of Nerode and Shore. We will take a journey through Lachlan's rather complicated construction which sheds a great deal of light on the order-theoretic properties of many-one reducibility.
September 23 - Daniel Belin
Title: Lattice Embeddings of the m-Degrees and Second Order Arithmetic - Continued
September 30 - Josiah Jacobsen-Grocott
Title: Scott Rank of Computable Models.
Abstract: Infinatary logic extends the notions of first order logic by allowing infinite formulas. Scott's Isomorphism Theorem states that any countable structure can be characterized up to isomorphism by a single countable sentence. Closely related to the complexity of this sentence is what is known as the Scott Rank of the structure. In this talk we restrict our attention to computable models and look at an upper bound on the Scott Rank of such structures.
October 7 - Josiah Jacobsen-Grocott
Title: Scott Rank of Computable Codels - Continued
October 14 - Tejas Bhojraj I - Date may change
October 21 - Tejas Bhojraj II - Date may change
October 28 - Two short talks
Iván Ongay Valverde and James Earnest Hanson
November 4 - Two short talks
November 11 - Manlio Valenti I
November 18 - Manlio Valenti II
November 25 - Two short talks
December 2 - Iván Ongay Valverde I
December 9 - Iván Ongay Valverde II
The schedule of talks from past semesters can be found here.