Abstract. In classical approaches to knowledge representation, reasoners are assumed to derive all the logical consequences of their knowledge base. As a result, reasoning in the ...
We investigate the connection between propositional proof systems and their canonical pairs. It is known that simulations between proof systems translate to reductions between the...
Modern proof assistants such as Coq and Isabelle provide high degrees of expressiveness and assurance because they support formal reasoning in higher-order logic and supply explic...
We study complexity of the model-checking problems for LTL with registers (also known as freeze LTL and written LTL ) and for first-order logic with data equality tests (written F...
We formally characterize alternating fixed points of boolean equation systems as models of (propositional) normal logic programs. To this end, we introduce the notion of a preferr...
K. Narayan Kumar, C. R. Ramakrishnan, Scott A. Smo...