Philosophy for Children P4C
Last summer I visited the Philosophy for Children (#p4c) program here in Hawaii. Check out the puzzle: find the one and only 18-hour virtual road trip from S0 to S6.
Report on my visit
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Protein folding game
Play LabbyFold today!
The number of languages with maximum state complexity
Lei Liu completed her Master’s degree with the project title Complexity of Options in 2017.
An extension to monotone options (pictured) was presented at
ALH-2018. The new paper is called The number of languages with maximum state complexity and has been accepted for TAMC 2019.
As of 2022, the paper has been through 7 revisions and has been accepted for publication in the journal Algebra Universalis.
Some of the 168 monotone Boolean functions of 4 variables
- Slides for ALH 2018
- Slides for TAMC 2019
Master’s projects in Lean
After Jake Fennick’s MA project in the proof assistant Isabelle in 2019, I have advised two Master’s students whose project focused on another popular proof assistant, Lean:
- Hugh Chou, 2021: Formalizing my paper on a conflict in the Carmo and Jones approach to contrary-to-duty deontic obligations.
- Ryan T. Sasaki, 2022: Formalizing a time-invariance theorem for Redington immunization in financial mathematics.
Service and administration
Some recent departmental service I have enjoyed being involved in includes:
- Associate Chair (since 2021)
- Personnel committee chair (2020-2021)
- Hiring committee chair (2019-2020)
- Editor, Journal of Logic and Analysis (since 2019)
- Moderator, CS Theory Stack Exchange (since 2018)
Connecting Normalized Information Distance and Jaccard distance
I gave a talk in the online seminar “Computability Theory and Applications” on November 17, 2020, on
Normalized Information Distance and Jaccard distance.
The paper, with Niraula and Yoon, was published in Logical Foundations of Computer Science 2022.
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 CiE papers
Three new papers
with graduate students Birns (left) and Webb (right).- KL-randomness and effective dimension under strong reducibility (with David J. Webb). Computability in Europe, Lectures Notes in Computer Science, 2021.
- On the degrees of constructively immune sets (with Samuel D. Birns). Computability in Europe, Lectures Notes in Computer Science, 2021.
- Strong Medvedev reducibilities and the KL-randomness problem (with David J. Webb). Computability in Europe, Lectures Notes in Computer Science, 2022.