We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
We present a general theory for the use of negative premises in the rules of Transition System Specifications (TSSs). We formulate a criterion that should be satisfied by a TSS in ...
A term t is called a template of terms t1 and t2 iff t1 = t1 and t2 = t2, for some substitutions 1 and 2. A template t of t1 and t2 is called the most specific iff for any template...
Peter E. Bulychev, Egor V. Kostylev, Vladimir A. Z...
We present a general approach for representing and reasoning with sets of defaults in default logic, focussing on reasoning about preferences among sets of defaults. First, we con...
In this paper a general framework for separation logic inside the HOL theorem prover is presented. This framework is based on Abeparation Logic. It contains a model of an abstract,...