My maiden name was Cordwell, and so my publications before 2022 appear under K. Cordwell.
K. Kosaian, Z. Wang, E. Sloan, and K. Y. Rozier. Formalizing MLTL Formula Progression in Isabelle/HOL, accepted to CICM 2025 (to appear). (AFP)
S. Binder, E. Ren, and K. Kosaian. Formalizing the Hidden Number Problem in Isabelle/HOL, accepted to ITP 2025 (to appear). (AFP | doi)
A. Rosentrater*, Z. Wang*, K. Kosaian, and K. Y. Rozier. Language Partitioning for Mission-time Linear Temporal Logic, in NASA Formal Methods (NFM) 2025. (doi | AFP)
Z. Wang, K. Kosaian, and K. Y. Rozier. Formally Verifying a Transformation from MLTL Formulas to Regular Expressions, Tools and Algorithms for the Construction and Analysis of Systems (TACAS) 2025. (doi | arXiv | AFP)
S. Binder and K. Kosaian. Formalizing Pick's Theorem in Isabelle/HOL. Conference on Intelligent Computer Mathematics (CICM) 2024. (doi | arXiv | AFP)
K. Kosaian, Y. K. Tan, and K. Y. Rozier. Formalizing Coppersmith's Method in Isabelle/HOL. Conference on Intelligent Computer Mathematics (CICM) 2024. (doi | AFP)
K. Kosaian, Y. K. Tan, and A. Platzer. A First Complete Algorithm for Real Quantifier Elimination in Isabelle/HOL. Certified Programs and Proofs (CPP) 2023. (doi | arXiv | AFP | talk)
M. Scharager, K. Cordwell, S. Mitsch, and A. Platzer. Verified Quadratic Virtual Substitution for Real Arithmetic. Formal Methods (FM) 2021. (doi | arXiv | AFP)
K. Cordwell, Y. K. Tan, and A. Platzer. A Verified Decision Procedure for Univariate Real Arithmetic with the BKR Algorithm. Interactive Theorem Proving (ITP) 2021. (pdf | doi | AFP)
A. Sogokon, S. Mitsch, Y. K. Tan, K. Cordwell, and A. Platzer. Pegasus: A Framework for Sound Continuous Invariant Generation. Formal Methods (FM) 2019. (pdf | doi).
This paper was awarded the FM Best Tool Paper Award.
K. Cordwell and A. Platzer. Towards Physical Hybrid Systems. Conference on Automated Deduction (CADE) 2019. (pdf | doi | slides)
CS Journals
A. Sogokon, S. Mitsch, Y. K. Tan, K. Cordwell, and A. Platzer. Pegasus: Sound continuous invariant generation. Formal Methods in System Design (FMSD) 2021. (doi | arXiv)
Special issue for selected papers from FM'19.
Math Journals
P. Cohen, K. Cordwell, A. Epstein, C-H. Kwan, A. Lott, and S. J. Miller, On near-perfect numbers. Acta Arithmetica, 194 (2020), 341-366. (doi)
K. Cordwell, A. Epstein, A. Hemmady, S. J. Miller, E. Palsson, A. Sharma, S. Steinerberger, and Y. N. T. Vu, On algorithms to calculate integer complexity. Integers, 19 (2019). (pdf | arXiv)
K. Cordwell, M. Hlavacek, C. Huynh, S. J. Miller, C. Peterson, and Y. N. T. Vu, Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions. Research in Number Theory, 4 (2018), no. 43. (pdf | doi)
K. Cordwell and G. Wang, Multilinear polynomials of small degree evaluated on matrices over a unital algebra. Linear Algebra and its Applications, 496 (2016), 262-287. (doi)
K. Cordwell, T. Fei, and K. Zhou, On lower central series quotients of finitely generated algebras over Z. Journal of Algebra, 423 (2015), 559-572. (doi | arXiv)
Benedetto J.J., Cordwell K., Magsino M. (2019) CAZAC Sequences and Haagerup's Characterization of Cyclic N-roots. In: Aldroubi A., Cabrelli C., Jaffard S., Molter U. (eds) New Trends in Applied Harmonic Analysis, Volume 2. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. (doi)
Formally Verifying Algorithms for Real Quantifer Elimination (2023)
Committee: André Platzer (Chair), Jeremy Avigad, Frank Pfenning, Dexter Kozen, Lawrence Paulson
Document: Available here
Awarded the 2024 Bill McCune PhD Award (news)
I interned at NASA Langley Research Center with the Formal Methods group in the summer of 2019. Under the mentorship of Aaron Dutle and César Muñoz, I worked to improve quantifier elimination strategies in the PVS theorem prover; my contributions are now included in the NASA PVS library. The associated tech report is available here.
I participated in science fairs and similar science competitions in high school and was fortunate to work with some fantastic mentors who were very generous with their time and talents. You can see me talk about some of my early (high school) research below!