Gaifman’s locality theorem states that every first-order sentence is equivalent to a local sentence. We show that there is no elementary bound on the length of the local sentenc...
Anuj Dawar, Martin Grohe, Stephan Kreutzer, Nicole...
We consider a new kind of interpretation over relational structures: finite sets interpretations. Those interpretations are defined by weak monadic second-order (WMSO) formulas w...
The key to many approaches to reason about pointerbased data structures is the availability of a decision procedure to automatically discharge proof obligations in a theory encomp...
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...