2 papers
cs.LO2026
A categorical perspective on constraint satisfaction: The wonderland of adjunctions
Maximilian Hadek, Tomáš Jakl, Jakub Opršal
The so-called algebraic approach to the constraint satisfaction problem (CSP) has been a prevalent method of the study of complexity of these problems since early 2000's. The core…
cs.LO2025
A categorical account of composition methods in logic (extended version)
Tomáš Jakl, Dan Marsden, Nihil Shah
We present a categorical theory of the composition methods in finite model theory -- a key technique enabling modular reasoning about complex structures by building them out of sim…