Identification and recovery of inward-recursion information

Information which has a recursive characteristic in the process of transmission is generated because its information elements are continuously lost.By using P-sets which is a new mathematic tool and has dynamic characteristics,the concept of inward-recursion information is proposed,and the structure of inward-recursion is given.Theorems are obtained such as the sequence theorem of inward-recursion information,the merging theorem of loss information,identification and recovery theorems of inward-recursion information.By defining the modulus and the identification measure on inward-recursion information,the numerical value methods of identification and recovery are obtained.Also,the identification criterion of inward-recursion information is given.Finally,the application of identification and recovery is presented.