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MATH 654 Fall 2022
Watch this space for updates on logic courses.
The undergraduate course MATH 454 (Axiomatic Set Theory) was taught in Fall 2021. Textbook: Schimmerling’s “A course on set theory”
A similar course at the graduate level was MATH 654 Fall 2020, which had the following readings:
- Foundations of Mathematics, Kenneth Kunen, parts of chapters I-IV.
- Modal logic for open minds, Johan van Benthem, some of chapters 1-11 and 16.
- Logic and Proof, Lean tutorial, and The Natural Number Game
Math 654 in Fall 2022 will use the textbook by Ebbinghaus, Flum, and Thomas and some readings about Lean.
Recent talks
- Spring 2021: New England Recursion and Definability Seminar.
- Fall 2021: invited talk in the workshop Automata Theory and Applications
- Fall 2021: Penn State Logic Seminar
- Summer 2022 : Computability in Europe conference, special session on computability and other areas of mathematics
- Summer 2022: Computability, Complexity, and Randomness conference
Computability and Automatic Complexity
This new 42,000 USD grant from the Simons Foundation will support travel and collaboration during 2020-2025.
Pictured: Angsheng Li announcing TAMC 2020 in Changsha, China during TAMC 2019 in Kitakyushu, Japan.
Automatic complexity of Fibonacci arrays
Journal of Logic and Analysis
VC-dimensions for nondeterministic finite automata
MATH 657 Spring 2020
Course title: “Recursive functions and complexity”
Textbook title: “A second course in formal languages and automata theory” by J. Shallit
Despite the intimidating titles this is just a graduate introduction to automata, computability, and complexity.
Possible additional topics: Automatic complexity and Python programming.