Program Algebras with Monotone Floyd-Hoare Composition

Abstract. In the paper special program algebras of partial predicates and functions are described. Such algebras form a semantic component of a modified Floyd-Hoare logic constructed on the base of a composition-nominative approach. According to this approach, Floyd-Hoare assertions are presented with the help of a special composition called Floyd-Hoare composition. Monotonicity and continuity of this composition are proved. The language of the modified Floyd-Hoare logic is described. Further, the inference rules for such logic are studied, their soundness conditions are specified. The logic constructed can be used for program verification