A complete proof system for propositional projection temporal logic

@article{Duan2013ACP,
  title={A complete proof system for propositional projection temporal logic},
  author={Zhenhua Duan and Nan Zhang and Maciej Koutny},
  journal={Theor. Comput. Sci.},
  year={2013},
  volume={497},
  pages={84-107}
}
The paper presents a proof system for Propositional Projection Temporal Logic (PPTL) with projection-plus. The syntax, semantics, and logical laws of PPTL are introduced together with an axiom system consisting of axioms and inference rules. To facilitate proofs, some of the frequently used theorems are proved. A normal form of PPTL formulas is presented, and the soundness and completeness of the proof system are demonstrated. To show how the axiom system works, a full omega regular property… CONTINUE READING