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This research investigated the important issues related to the analysis and design of real-time systems targeted to parallel architectures. In particular, the software specification models for real-time systems on parallel architectures were evaluated. A survey of current formal methods for uniprocessor real-time systems specifications was conducted to determine their extensibility in specifying real-time systems on parallel architectures. In this research, a specification model called Parallel REal Time specification Language (PRETsEL) was defined. It leverages off of existing models while adding the necessary syntax and semantics lacking in existing models in supporting specification of real-time systems for parallel architectures. Examples of utilizing the PRETSEL language are presented.