Abstract
This paper will propose a new version of Dynamic Modal Predicate Logic (DMPL) to treat dynamics of intentional identity [1] and other similar notions such as weak intentional identity and multiple intentional identity by revising the DMPL of modal subordination [2] by adding a kind of counterpart relation. The revised dynamic semantics of DMPL is much simpler than Edelberg's semantics [3] of intentional identity and can treat weak intentional identity and multiple intentional identity which have not been treated by most semantics of intentional identity as well as Edelberg's semantics.
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