基于SAT的限界模型检测在处理实时系统时具有很高的复杂度.SMT求解器在计算可满足性的同时,还能处理算术和其他可判定性理论.在对实时系统进行检测时,用SMT求解器代替SAT求解器,系统里的时钟就可以用整型或实型变量表示,时钟约束则可以直接表示成线性算术表达式,从而使整个检测过程更加高效.带时间参数的计算树逻辑(timed computation tree logic,简称TCTL)被用来描述实时系统里的性质.同时,还对检测方法作了相应的改进.
SAT-Based bounded model checking (BMC) has high complexity in dealing with real-time systems. Satisfiability modulo theories (SMT) solvers can generalize SAT solving by adding the ability to handle arithmetic and other decidable theories. This paper uses SMT in BMC for real-time systems instead of SAT. The clocks can be represented as integer or real variables directly and clock constraints can be represented as linear arithmetic expressions. These make the checking procedure more efficient. TCTL (timed computation tree logic) is used to specify the properties of real-time systems and improvement of the encodings has been done.