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.
|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|
Emeritus and Other Faculty
|Richard A. Shore||Mathematical logic, recursion theory, effective and reverse mathematics, set theory|