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12 lines
2.4 KiB
12 lines
2.4 KiB
// constant used for time bounded until and for specifying a subset of initial states
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const int k;
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// a stable state is reached with probability 1
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P>=1 [ true U (x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=1 ]
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// minimum probability a stable state is reached within k steps
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P=? [ true U<=k (x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=1 {"init"}{min} ]
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// maximum expected time to reach a stable state
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R=? [ F (x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=1 {"init"}{max} ]
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// maximum expected time to reach a stable state for a subset of initial states
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R=? [ F (x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=1 {(x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=k}{max} ]
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// minimum expected time to reach a stable state for a subset of initial states
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R=? [ F (x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=1 {(x21=x1?1:0)+(x1=x2?1:0)+(x2=x3?1:0)+(x3=x4?1:0)+(x4=x5?1:0)+(x5=x6?1:0)+(x6=x7?1:0)+(x7=x8?1:0)+(x8=x9?1:0)+(x9=x10?1:0)+(x10=x11?1:0)+(x11=x12?1:0)+(x12=x13?1:0)+(x13=x14?1:0)+(x14=x15?1:0)+(x15=x16?1:0)+(x16=x17?1:0)+(x17=x18?1:0)+(x18=x19?1:0)+(x19=x20?1:0)+(x20=x21?1:0)=k}{min} ]
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