Sequence-Indexed Linear-Time Temporal Logic: Proof System and Application
نویسندگان
چکیده
In this paper, we propose a proof system for reasoning on certain specifications of secure authentication systems. For this purpose, a new logic, sequence-indexed linear-time temporal logic (SLTL), is obtained semantically from standard linear-time temporal logic (LTL) by adding a sequence modal operator that represents a sequence of symbols. By this sequence modal operator, we can appropriately express message flows between clients and servers and states of servers in temporal reasoning. A Gentzen-type sequent calculus for SLTL is introduced, and the completeness and cut-elimination theorems for it are proved. SLTL is also shown to be PSPACE-complete and embeddable into LTL.
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عنوان ژورنال:
- Applied Artificial Intelligence
دوره 24 شماره
صفحات -
تاریخ انتشار 2010