The modalities of Dynamic Logic refer to the final state of a program execution and allow to specify programs with pre- and postconditions. In this paper, we extend Dynamic Logic w...
Most languages for the Semantic Web have their logical basis in some fragment of first-order logic. Thus, integrating first-order logic with probability is fundamental for represen...
We present results of our work on using first order theorem proving to reason over a large ontology (the Suggested Upper Merged Ontology ? SUMO), and methods for making SUMO suita...
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...
We present the theory and implementation of a theorem prover for first-order intuitionistic linear logic based on the inverse method. The central proof-theoretic insights underlyin...