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// integer semantics version of abstract firewire protocol
// gxn 23/05/2001
nondeterministic
//deadline
const int deadline;
// largest constant the deadline clock is compared to
const int ky = deadline;
// largest constant the clock of the system is compared to
const int kx = 167;
module abstract_firewire
// deadline clock
y : [0..ky+1];
// clock of the system
x : [0..kx+1];
// local state
s : [0..10];
// 0 - start_start
// 1 - fast_start
// 2 - start_fast
// 3 - start_slow
// 4 - slow_start
// 5 - fast_fast
// 6 - fast_slow
// 7 - slow_fast
// 8 - slow_slow
// 9 - done
// 10 - deadline exceeded
// initial state
[] (s=0) & (x<36) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=0) & (y<=deadline) -> 0.5 : (s'=1) + 0.5 : (s'=4);
[] (s=0) & (y<=deadline) -> 0.5 : (s'=2) + 0.5 : (s'=3);
// fast_start
[] (s=1) & (x<36) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=1) & (y<=deadline) -> 0.5 : (s'=5) & (x'=0) + 0.5 : (s'=6) & (x'=0);
// start_fast
[] (s=2) & (x<36) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=2) & (y<=deadline) -> 0.5 : (s'=5) & (x'=0) + 0.5 : (s'=7) & (x'=0);
// start_slow
[] (s=3) & (x<36) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=3) & (y<=deadline) -> 0.5 : (s'=6) & (x'=0) + 0.5 : (s'=8) & (x'=0);
// slow_start
[] (s=4) & (x<36) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=4) & (y<=deadline) -> 0.5 : (s'=7) & (x'=0) + 0.5 : (s'=8) & (x'=0);
// fast_fast
[] (s=5) & (x<85) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=5) & (x>=76) & (y<=deadline) -> (s'=0) & (x'=0);
[] (s=5) & (x>=40) & (y<=deadline) -> (s'=9) & (x'=0);
// fast_slow
[] (s=6) & (x<167) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=6) & (x>=123) & (y<=deadline) -> (s'=9) & (x'=0);
// slow_fast
[] (s=7) & (x<167) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=7) & (x>=123) & (y<=deadline) -> (s'=9) & (x'=0);
// slow_slow
[] (s=8) & (x<167) -> (x'=min(x+1,kx+1)) & (y'=min(y+1,ky+1));
[] (s=8) & (x>=159) & (y<=deadline) -> (s'=0) & (x'=0);
[] (s=8) & (x>=123) & (y<=deadline) -> (s'=9) & (x'=0);
// move to deadline exceeded when y>=deadline
[] (y>=deadline) -> (s'=10);
// done
[] (s=9) -> (s'=9);
// deadline exceeded
[] (s=10) -> (s'=10);
endmodule