PATTERN系列的番外篇
对non-Zeno的概念进行了明晰
accepting：if infinitely often the same state
non-Zeno：if time diverges，which means (sum_{igeq20})(delta_{i}) ( ightarrow infin)
Abstract zone graphs again：
Extra(^{+}_{LU})
( earrow) ( warrow)
Extra(^{+}_{M}) Extra(_{LU})
( warrow) ( earrow)
Extra(_{M})
ZGa(( mathcal{A} )) ：((q_0)(,) (Z_0))( ightarrow)((q_1)(,) (Z_1))( ightarrow) ((q_2)(,) (Z_2))( ightarrow)(cdots)
(mathcal{A})：((q_0)(,) (v_0))( ightarrow) ((q_1)(,) (v_1))( ightarrow) ((q_2)(,) (v_2))( ightarrow)(cdots)
（All the above abstractions preserve repeated state reachability）
其中(mathcal{A})中的每一个状态都是ZGa(( mathcal{A} )) 中相应状态的元素，即 (forall igeq0) 有(v_i) (in) (Z_i)
Time progress criterion： (igwedge_{x in X})unbounded((x))(vee)fluctuating((x))
non-Zenoness： the time progress criterion is not sound on zones
note: Adding one clock leads to an exponential blowup in the zone graph!
exponential blowup：指数爆炸