#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#;