One of the major interests of finite model theory is to separate the expressive power of different logics or fragments of logics. In this paper, we define a variant of EhrenfeuchtF...
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
We tackle the issue of representing infinite sets of realvalued vectors. This paper introduces an operator for combining integer and real sets. Using this operator, we decompose ...
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...
Mazurkiewicz traces form a model for concurrency. Temporal logic st-order logic are important tools in order to deal with the abstract behavior of such systems. Since typical prop...