时序逻辑程序的模型检测

Model Checking for Temporal Logic Programs

时序逻辑程序的形式化验证对提高程序的正确性具有重要意义。以投影时序逻辑的可执行子集、框架投影时序逻辑语言Framed Tempura为研究对象,使用命题投影时序逻辑描述Framed Tempura程序的性质,将程序p和性质Ф统一表示在投影时序逻辑中,模型检测需要判定p→Ф是否有效,可转化为判定p∧Ф是否不可满足,这可以通过构造p∧Ф的正则图加以解决。最后,给出了Framed Tempura程序的模型检测实例。

Formal verification of temporal logic programs plays an important role in improving program correctness. A framing projection temporal logic language, called Framed Tempura, is the research object as an executable subset of projection temporal logic. Propositional temporal logic was used to describe properties of a Framed Tempura program, thus the program p and properties φ were both formalized in projection temporal logic, then model checking needs to eva-luate whether or not p→φ is valid which can be translated into evaluate whether or not P∧-φ is unsatisfiable,and this problem is solved by constructing the normal form graph of p P∧-φ. At last, an example of model checking a Framed Tempura program was given.