I am interested in structural proof theory and its interactions with automata theory. I am particularly interested in cyclic proof theory. Rueben Rowe maintains an up-to-date bibliography of cyclic proof theory literature.
I am a member of the Chennai Logic Gathering, a group that aims to bring together logicians and those interested in logic in Southern India. Meetings are open to everyone, and many of our speakers come from institutions in and around Chennai. Our meetings could be viewed as a southern counterpart to the Calcutta Logic Circle.
Publications
A Note on Fixed Points in Lukasiewicz Logic. viewable pdf(BK Matilal Prize)
In Logica Universalis 2025. Vol 19, Issue 1.
Cyclic System for an Algebraic Theory of Alternating Parity Automata. (with Anupam Das) arXiv
In Automated Reasoning with Analytic Tableaux and Related Methods - 34th International Conference, TABLEAUX 2025.
Right-Linear Lattices: An Algebraic Theory of ω-Regular Languages, with Fixed Points. (with Anupam Das) pdf
In 50th International Symposium on Mathematical Foundations of Computer Science, MFCS 2025.
Bounded Henkin Quantifiers and the Exponential Time Hierarchy.
In 11th Indian Conference in Logic and Applications, ICLA 2025. (Best Paper Award)
A Proof Theory of (omega-)Context-Free Languages, via Non-wellfounded Proofs. (with Anupam Das) arXiv
In Automated Reasoning, IJCAR 2024.
A Proof Theory of Right-Linear (omega-)Grammars via Cyclic Proofs. (with Anupam Das) arXiv
In 39th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2024.
Comparing Infinitary Systems for Linear Logic with Fixed Points. (with Anupam Das and Alexis Saurin) pdf
In 43rd IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS 2023.
I worked on proof-nets for multiplicative linear logic with fixed points in my PhD. I also worked on the complexity of provability and phase semantics of multiplicative additive linear logic with fixed points. (manuscript and slides)