Abstract
In this paper, we integrate Separation Logic with propositional Projection Temporal Logic (PPTL) to obtain a two-dimensional logic, named \(\text {PPTL}^{\tiny \text{ SL }}\). The spatial dimension is realized by a decidable fragment of separation logic which can be used to describe linked lists, and the temporal dimension is expressed by PPTL. Furthermore, we prove that any \(\text {PPTL}^{\tiny \text{ SL }}\) formula can be transformed into its normal form. Example are given to show how to specify temporal heap properties by this hybrid logic.
This research is supported by the NSFC Grant Nos. 61133001, 61272118, 61272117, 61202038, 91218301, 61322202, 61373043 and National Program on Key Basic Research Project (973 Program) Grant No. 2010CB328102.
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Lu, X., Duan, Z., Tian, C., Liu, H. (2014). Integrating Separation Logic with PPTL. In: Liu, S., Duan, Z. (eds) Structured Object-Oriented Formal Language and Method. SOFL+MSVL 2013. Lecture Notes in Computer Science(), vol 8332. Springer, Cham. https://doi.org/10.1007/978-3-319-04915-1_3
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