Title: A Kripkean Semantics for Dynamic Logic Programming Author:Jan Sefranek Abstract: The main goal of the paper is to propose a tool for a semantic specification of program updates (in the context of dynamic logic programming paradigm). A notion of Kripke structure KP associated with a generalized logic program P is introduced. It is shown that some paths in KP specify stable models of P and vice versa, to each stable model of P corresponds a path in KP . An operation on Kripke structures is defined: for Kripke structures KP and KU associated with P (the original program) and U (the updating program), respectively, a Kripke structure KP + U is constructed. KP + U specifies (in a reasonable sense) a set of updates of P by U. There is a variety of possibilities for a selection of an updated program.