Mathematical logic is the study of the strengths and limitations of formal languages, proofs, and algorithms and their relationships to mathematical structures. It also aims to address foundational issues in mathematics.
Logic relates to theoretical computer science through computability theory and proof theory, to algebra, number theory, and algebraic geometry through model theory, and to analysis and ergodic theory through set theory and infinite combinatorics.
Faculty Members
| Robert L. Constable | Type theory and automated reasoning |
| Joseph Halpern | AI, security, and game theory |
| Dexter Kozen | Computational theory, computational algebra and logic, logics and semantics of programming languages |
| Justin Moore | Set theory, mathematical logic, and group theory |
| Anil Nerode | Mathematical logic, computability theory, computer science, mathematics of AI, control engineering, quantum control of macroscopic systems |
| Slawomir Solecki | Logic |
Emeritus and Other Faculty
| Richard A. Shore | Mathematical logic, recursion theory, effective and reverse mathematics, set theory |
Activities and Resources:
- Logic Seminar
- Theory of Computing research group (Computer Science)
- Database Systems research group (Computer Science)
- Artificial Intelligence research group (Computer Science)
Related people
Ph.D Candidate
Professor
Professor
Ph.D. Candidate
Professor
Professor
Ph.D. Candidate
Ph.D. Candidate
Ph.D. Student
Ph.D. Candidate
Joseph Newton Pew, Jr. Professor in Engineering
Joseph Newton Pew, Jr. Professor in Engineering
Professor
Distinguished Professor of Arts and Sciences in Mathematics
H.C. Wang Assistant Professor
Ph.D. Student
Ph.D. Candidate
Goldwin Smith Professor Emeritus of Mathematics
Professor
