POPL '88 Proceedings of the 15th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Handbook of theoretical computer science (vol. B)
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POPL '85 Proceedings of the 12th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
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Complexity of propositional projection temporal logic with star†
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ICFEM'07 Proceedings of the formal engineering methods 9th international conference on Formal methods and software engineering
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This paper investigates the expressiveness of Propositional Projection Temporal Logic with Star (PPTL*). To this end, Buchi automata and @w-regular expressions are first extended as Stutter Buchi Automata (SBA) and Extended Regular Expressions (ERE) to include both finite and infinite strings. Further, by equivalent transformations among PPTL* formulas, SBAs and EREs, PPTL* is proved to represent exactly the full regular language. Moreover, some fragments of PPTL* are characterized, and finally, PPTL* and its fragments are classified into five different language classes.