The final part of a four-part report of research on the development of a computerized, phrase-structure grammar of modern Hebrew describes the computerized algorithm for analyzing the sentences generated based on a complex-constituent-phrase structure grammar. The first section here discusses a structural model for modern Hebrew; the second provides a detailed description of the procedure for analyzing sentences; the third gives a detailed description of the computer program for the procedure; the last section describes the tests and the verifications of the algorithm. Appendix A lists the grammar rules of Hebrew syntax for the analysis of sentences. Appendix B gives the source-language listing of the computer program and subprograms used. Appendix C provides a sample output. Appendix D gives examples of the exhaustive snytactic analysis of the computer. For related reports see FL 002 627, FL 002 628, and FL 002 629. (VM)