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41 lines
1.2 KiB
41 lines
1.2 KiB
// mutual exclusion
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(!((p1=2) & (p2=2))) &
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(!((p1=2) & (p3=2))) &
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(!((p1=2) & (p4=2))) &
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(!((p1=2) & (p5=2))) &
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(!((p1=2) & (p6=2))) &
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(!((p1=2) & (p7=2))) &
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(!((p1=2) & (p8=2))) &
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(!((p2=2) & (p3=2))) &
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(!((p2=2) & (p4=2))) &
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(!((p2=2) & (p5=2))) &
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(!((p2=2) & (p6=2))) &
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(!((p2=2) & (p7=2))) &
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(!((p2=2) & (p8=2))) &
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(!((p3=2) & (p4=2))) &
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(!((p3=2) & (p5=2))) &
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(!((p3=2) & (p6=2))) &
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(!((p3=2) & (p7=2))) &
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(!((p3=2) & (p8=2))) &
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(!((p4=2) & (p5=2))) &
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(!((p4=2) & (p6=2))) &
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(!((p4=2) & (p7=2))) &
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(!((p4=2) & (p8=2))) &
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(!((p5=2) & (p6=2))) &
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(!((p5=2) & (p7=2))) &
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(!((p5=2) & (p8=2))) &
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(!((p6=2) & (p7=2))) &
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(!((p6=2) & (p8=2))) &
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(!((p7=2) & (p8=2)))
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// liveness
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// if a process is trying then eventually a process enters the critical section
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((p1=1) | (p2=1) | (p3=1) | (p4=1) | (p5=1) | (p6=1) | (p7=1) | (p8=1)) =>
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P>=1 [ true U (p1=2) | (p2=2) | (p3=2) | (p4=2) | (p5=2) | (p6=2) | (p7=2) | (p8=2) ]
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// if all processes are trying process 1 enters the critical section first
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(p1=1) & (p2=1) & (p3=1) & (p4=1) & (p5=1) & (p6=1) & (p7=1) & (p8=1) =>
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P>=0.5 [ !(p2=2) & !(p3=2) & !(p4=2) & !(p5=2) & !(p6=2) & !(p7=2) & !(p8=2) U (p1=2) ]
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