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Out of date file in phil-nofair.
Out of date file in phil-nofair.
git-svn-id: https://www.prismmodelchecker.org/svn/prism/prism/trunk@1919 bbc10eb1-c90d-0410-af57-cb519fbb1720master
1 changed files with 57 additions and 54 deletions
@ -1,54 +1,57 @@ |
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// randomized dining philosophers [LR81] |
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// dxp/gxn 23/01/02 |
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// model which does not require fairness |
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// remove the possibility of loops: |
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// (1) cannot stay in thinking |
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// (2) if first fork not free then cannot move (another philosopher must more) |
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mdp |
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// atomic formulae |
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// left fork free and right fork free resp. |
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formula lfree = p2=0..4,6,10; |
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formula rfree = p10=0..3,5,7,11; |
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module phil1 |
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p1: [0..11]; |
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[] p1=0 -> (p1'=1); // trying |
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[] p1=1 -> 0.5 : (p1'=2) + 0.5 : (p1'=3); // draw randomly |
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[] p1=2 & lfree -> (p1'=4); // pick up left |
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[] p1=3 & rfree -> (p1'=5); // pick up right |
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[] p1=4 & rfree -> (p1'=8); // pick up right (got left) |
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[] p1=4 & !rfree -> (p1'=6); // right not free (got left) |
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[] p1=5 & lfree -> (p1'=8); // pick up left (got right) |
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[] p1=5 & !lfree -> (p1'=7); // left not free (got right) |
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[] p1=6 -> (p1'=1); // put down left |
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[] p1=7 -> (p1'=1); // put down right |
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[] p1=8 -> (p1'=9); // move to eating (got forks) |
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[] p1=9 -> (p1'=10); // finished eating and put down left |
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[] p1=9 -> (p1'=11); // finished eating and put down right |
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[] p1=10 -> (p1'=0); // put down right and return to think |
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[] p1=11 -> (p1'=0); // put down left and return to think |
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endmodule |
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// construct further modules through renaming |
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module phil2 = phil1 [p1=p2, p2=p3, p10=p1] endmodule |
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module phil3 = phil1 [p1=p3, p2=p4, p10=p2] endmodule |
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module phil4 = phil1 [p1=p4, p2=p5, p10=p3] endmodule |
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module phil5 = phil1 [p1=p5, p2=p6, p10=p4] endmodule |
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module phil6 = phil1 [p1=p6, p2=p7, p10=p5] endmodule |
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module phil7 = phil1 [p1=p7, p2=p8, p10=p6] endmodule |
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module phil8 = phil1 [p1=p8, p2=p9, p10=p7] endmodule |
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module phil9 = phil1 [p1=p9, p2=p10, p10=p8] endmodule |
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module phil10 = phil1 [p1=p10, p2=p1, p10=p9] endmodule |
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// rewards (number of steps) |
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rewards |
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[] true : 1; |
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endrewards |
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// randomized dining philosophers [LR81] |
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// dxp/gxn 23/01/02 |
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// model which does not require fairness |
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// remove the possibility of loops: |
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// (1) cannot stay in thinking |
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// (2) if first fork not free then cannot move (another philosopher must more) |
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mdp |
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// atomic formulae |
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// left fork free and right fork free resp. |
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formula lfree = (p2>=0&p2<=4)|p2=6|p2=10; |
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formula rfree = (p10>=0&p10<=3)|p10=5|p10=7|p10=11; |
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module phil1 |
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p1: [0..11]; |
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[] p1=0 -> (p1'=1); // trying |
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[] p1=1 -> 0.5 : (p1'=2) + 0.5 : (p1'=3); // draw randomly |
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[] p1=2 & lfree -> (p1'=4); // pick up left |
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[] p1=3 & rfree -> (p1'=5); // pick up right |
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[] p1=4 & rfree -> (p1'=8); // pick up right (got left) |
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[] p1=4 & !rfree -> (p1'=6); // right not free (got left) |
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[] p1=5 & lfree -> (p1'=8); // pick up left (got right) |
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[] p1=5 & !lfree -> (p1'=7); // left not free (got right) |
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[] p1=6 -> (p1'=1); // put down left |
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[] p1=7 -> (p1'=1); // put down right |
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[] p1=8 -> (p1'=9); // move to eating (got forks) |
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[] p1=9 -> (p1'=10); // finished eating and put down left |
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[] p1=9 -> (p1'=11); // finished eating and put down right |
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[] p1=10 -> (p1'=0); // put down right and return to think |
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[] p1=11 -> (p1'=0); // put down left and return to think |
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endmodule |
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// construct further modules through renaming |
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module phil2 = phil1 [ p1=p2, p2=p3, p10=p1 ] endmodule |
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module phil3 = phil1 [ p1=p3, p2=p4, p10=p2 ] endmodule |
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module phil4 = phil1 [ p1=p4, p2=p5, p10=p3 ] endmodule |
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module phil5 = phil1 [ p1=p5, p2=p6, p10=p4 ] endmodule |
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module phil6 = phil1 [ p1=p6, p2=p7, p10=p5 ] endmodule |
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module phil7 = phil1 [ p1=p7, p2=p8, p10=p6 ] endmodule |
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module phil8 = phil1 [ p1=p8, p2=p9, p10=p7 ] endmodule |
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module phil9 = phil1 [ p1=p9, p2=p10, p10=p8 ] endmodule |
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module phil10 = phil1 [ p1=p10, p2=p1, p10=p9 ] endmodule |
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// rewards (number of steps) |
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rewards "num_steps" |
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[] true : 1; |
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endrewards |
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// labels |
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label "hungry" = ((p1>0)&(p1<8))|((p2>0)&(p2<8))|((p3>0)&(p3<8))|((p4>0)&(p4<8))|((p5>0)&(p5<8))|((p6>0)&(p6<8))|((p7>0)&(p7<8))|((p8>0)&(p8<8))|((p9>0)&(p9<8))|((p10>0)&(p10<8)); |
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label "eat" = ((p1>=8)&(p1<=9))|((p2>=8)&(p2<=9))|((p3>=8)&(p3<=9))|((p4>=8)&(p4<=9))|((p5>=8)&(p5<=9))|((p6>=8)&(p6<=9))|((p7>=8)&(p7<=9))|((p8>=8)&(p8<=9))|((p9>=8)&(p9<=9))|((p10>=8)&(p10<=9)); |
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