This invention relates to a management method, more particularly by logging and replay, for software operations performed during the execution of an application process executed on a computer. The method applies in particular to internal operations sending a result datum to the managed process, and comprises the following steps: —carrying out a deterministic software processing, termed prediction function (FH), based on the state of a managed process or of the application (AOP, ASB), to provide a predict result (RP) for said operation; —comparative test to establish whether the value of the predict result (RP) corresponds or does not correspond to the value of the actual result (DR, RRJ); —performance of a complementary management depending on the result of the preceding test.