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1.5 KiB

#const N#
// randomized dining philosophers [LR81]
// dxp/gxn 12/12/99
// atomic formulae
// left fork free and right fork free resp.
formula lfree = (p2>=0&p2<=4)|p2=6|p2=10;
formula rfree = (p#N#>=0&p#N#<=3)|p#N#=5|p#N#=7|p#N#=11;
module phil1
p1: [0..11];
[] p1=0 -> (p1'=0); // stay thinking
[] p1=0 -> (p1'=1); // trying
[] p1=1 -> 0.5 : (p1'=2) + 0.5 : (p1'=3); // draw randomly
[] p1=2 & lfree -> (p1'=4); // pick up left
[] p1=2 & !lfree -> (p1'=2); // left not free
[] p1=3 & rfree -> (p1'=5); // pick up right
[] p1=3 & !rfree -> (p1'=3); // right not free
[] p1=4 & rfree -> (p1'=8); // pick up right (got left)
[] p1=4 & !rfree -> (p1'=6); // right not free (got left)
[] p1=5 & lfree -> (p1'=8); // pick up left (got right)
[] p1=5 & !lfree -> (p1'=7); // left not free (got right)
[] p1=6 -> (p1'=1); // put down left
[] p1=7 -> (p1'=1); // put down right
[] p1=8 -> (p1'=9); // move to eating (got forks)
[] p1=9 -> (p1'=10); // finished eating and put down left
[] p1=9 -> (p1'=11); // finished eating and put down right
[] p1=10 -> (p1'=0); // put down right and return to think
[] p1=11 -> (p1'=0); // put down left and return to think
endmodule
// construct further modules through renaming
#for i=2:N#
module phil#i# = phil1 [ p1=p#i#, p2=p#mod(i,N)+1#, p#N#=p#mod(i-2,N)+1# ] endmodule
#end#
// labels
label "hungry" = #| i=1:N#((p#i#>0)&(p#i#<8))#end#;
label "eat" = #| i=1:N#((p#i#>=8)&(p#i#<=9))#end#;