Publications

Unifying cubical and multimodal type theory
F. Aagaard, M. Kristensen, D. Gratzer, L. Birkedal
Logical Methods in Computer Science 2024
A modal deconstruction of Löb induction
D. Gratzer
Conditionally accepted to Principles of Programming Languages 2025
The Category of Iterative Sets in Homotopy Type Theory and Univalent Foundations
D. Gratzer, H. Gylterud, A. Mörtberg, E. Stenholm
To appear in Mathematical Structures in Computer Science 2024
Free theorems from univalent reference types
J. Sterling, D. Gratzer, L. Birkedal
Computer Science Logic 2024
Syntax and semantics of modal type theory
D. Gratzer
PhD Thesis 2023
Under Lock and Key: A Proof System for a Multimodal Logic
G. A. Kavvos, D. Gratzer
The Bulletin of Symbolic Logic 2023
mitten: flexible multimodal proof assistant
P. Stassen, D. Gratzer, L. Birkedal
TYPES 2022 Post-proceedings 2023
A stratified approach to Löb induction
D. Gratzer, L. Birkedal
Formal Structures for Computation and Deduction 2022
Normalization for multimodal type theory
D. Gratzer
Logic in Computer Science 2022
A Cubical Language for Bishop Sets
J. Sterling, C. Angiuli, and D. Gratzer
Logic Methods in Computer Science 2022
Modalities and Parametric Adjoints
D. Gratzer, E. Cavallo, G.A. Kavvos, A. Guatto, L. Birkedal
Transactions on Computational Logic 2022
Multimodal Dependent Type Theory
D. Gratzer, G.A. Kavvos, A. Nuyts, L. Birkedal
Logical Methods in Computer Science 2022
Transfinite Iris: Resolving an Existential Dilemma of Step-Indexed Separation Logic
S. Spies, L. Gäher, D. Gratzer, J. Tassarotti, R. Krebbers, D. Dreyer, L. Birkedal
Programming Language Design and Implementation 2021
Multimodal Dependent Type Theory
D. Gratzer, G. A. Kavvos, A. Nuyts, and L. Birkedal
Logic in Computer Science 2020
Implementing a Modal Dependent Type Theory
D. Gratzer, J. Sterling, and L. Birkedal
International Conference on Functional Programming 2019
Cubical Syntax for Reflection-Free Extensional Equality
J. Sterling, C. Angiuli, and D. Gratzer
Formal Structures for Computation and Deduction 2019
Iron: Managing Obligations in Higher-Order Concurrent Separation Logic
A. Bizjak, D. Gratzer, R. Krebbers, and L. Birkedal
Principles of Programming Languages 2019