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modified.smv
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MODULE main
FROZENVAR
n : 0..31;
fingers0 : array 0..4 of 0..31;
fingers1 : array 0..4 of 0..31;
fingers2 : array 0..4 of 0..31;
VAR
node0 : node(12, 24, fingers0);
node1 : node(24, 27, fingers1);
node2 : node(27, 12, fingers2);
INIT
( node0.mode = find_successor & node1.mode = waiting & node2.mode = waiting ) |
( node0.mode = waiting & node1.mode = find_successor & node2.mode = waiting ) |
( node0.mode = waiting & node1.mode = waiting & node2.mode = find_successor );
ASSIGN
init(fingers0[0]) := 24;
init(fingers0[1]) := 24;
init(fingers1[0]) := 27;
init(fingers1[1]) := 12;
init(fingers2[0]) := 12;
init(fingers2[1]) := 12;
next(node0.mode) :=
case
(node0.mode = find_successor &
(node0.id >= node0.successor_id | (node0.id < n & n <= node0.successor_id)) &
(node0.id < node0.successor_id | (n > node0.id | n <= node0.successor_id))) :
found_successor;
(node0.mode = find_successor & !(
(node0.id >= node0.successor_id | (node0.id < n & n <= node0.successor_id)) &
(node0.id < node0.successor_id | (n > node0.id | n <= node0.successor_id)))) :
closest_preceding;
node0.mode = waiting & node1.mode = next_node & node1.index = 1 : find_successor ;
node0.mode = waiting & node2.mode = next_node: find_successor ;
node0.mode = closest_preceding : get_next_finger ;
node0.mode = get_next_finger & node0.index >= 0 : test_finger ;
node0.mode = get_next_finger & node0.index < 0 : find_successor ;
node0.mode = test_finger &
!(node0.index >= 2 | node0.index <= -1) &
(node0.id >= n | (node0.id < fingers0[node0.index] & fingers0[node0.index] < n)) &
(node0.id < n | (fingers0[node0.index] > node0.id | fingers0[node0.index] < n)) :
next_node ;
node0.mode = test_finger &
!(node0.index >= 2 | node0.index <= -1) &
!((node0.id >= n | (node0.id < fingers0[node0.index] & fingers0[node0.index] < n)) &
(node0.id < n | (fingers0[node0.index] > node0.id | fingers0[node0.index] < n))) :
get_next_finger ;
node0.mode = next_node : waiting ;
TRUE : node0.mode ;
esac;
next(node1.mode) :=
case
(node1.mode = find_successor &
(node1.id >= node1.successor_id | (node1.id < n & n <= node1.successor_id)) &
(node1.id < node1.successor_id | (n > node1.id | n <= node1.successor_id))) :
found_successor;
(node1.mode = find_successor & !(
(node1.id >= node1.successor_id | (node1.id < n & n <= node1.successor_id)) &
(node1.id < node1.successor_id | (n > node1.id | n <= node1.successor_id)))) :
closest_preceding;
node1.mode = waiting & node0.mode = next_node : find_successor ;
node1.mode = closest_preceding : get_next_finger ;
node1.mode = get_next_finger & node1.index >= 0 : test_finger ;
node1.mode = get_next_finger & node1.index < 0 : find_successor ;
node1.mode = test_finger &
!(node1.index >= 2 | node1.index <= -1) &
(node1.id >= n | (node1.id < fingers1[node1.index] & fingers1[node1.index] < n)) &
(node1.id < n | (fingers1[node1.index] > node1.id | fingers1[node1.index] < n)) :
next_node ;
node1.mode = test_finger &
!(node1.index >= 2 | node1.index <= -1) &
!((node1.id >= n | (node1.id < fingers1[node1.index] & fingers1[node1.index] < n)) &
(node1.id < n | (fingers1[node1.index] > node1.id | fingers1[node1.index] < n))) :
get_next_finger ;
node1.mode = next_node : waiting ;
TRUE : node1.mode ;
esac;
next(node2.mode) :=
case
(node2.mode = find_successor &
(node2.id >= node2.successor_id | (node2.id < n & n <= node2.successor_id)) &
(node2.id < node2.successor_id | (n > node2.id | n <= node2.successor_id))) :
found_successor;
(node2.mode = find_successor & !(
(node2.id >= node2.successor_id | (node2.id < n & n <= node2.successor_id)) &
(node2.id < node2.successor_id | (n > node2.id | n <= node2.successor_id)))) :
closest_preceding;
node2.mode = waiting & node1.mode = next_node & node1.index = 0 : find_successor ;
node2.mode = closest_preceding : get_next_finger ;
node2.mode = get_next_finger & node2.index >= 0 : test_finger ;
node2.mode = get_next_finger & node2.index < 0 : find_successor ;
node2.mode = test_finger &
!(node2.index >= 2 | node2.index <= -1) &
(node2.id >= n | (node2.id < fingers2[node2.index] & fingers2[node2.index] < n)) &
(node2.id < n | (fingers2[node2.index] > node2.id | fingers2[node2.index] < n)) :
next_node ;
node2.mode = test_finger &
!(node2.index >= 2 | node2.index <= -1) &
!((node2.id >= n | (node2.id < fingers2[node2.index] & fingers2[node2.index] < n)) &
(node2.id < n | (fingers2[node2.index] > node2.id | fingers2[node2.index] < n))) :
get_next_finger ;
node2.mode = next_node : waiting ;
TRUE : node2.mode ;
esac;
LTLSPEC
((n > 12 & n <= 24) -> (F node0.mode = found_successor)) &
((n > 24 & n <= 27) -> (F node1.mode = found_successor)) &
((n > 27 | n <= 12) -> (F node2.mode = found_successor));
LTLSPEC
F G (
( node0.mode = found_successor & node1.mode = waiting & node2.mode = waiting ) |
( node0.mode = waiting & node1.mode = found_successor & node2.mode = waiting ) |
( node0.mode = waiting & node1.mode = waiting & node2.mode = found_successor ));
LTLSPEC
G (node0.mode = next_node -> X (node0.mode = find_successor xor node1.mode = find_successor));
LTLSPEC
G (node1.mode = next_node -> X (node0.mode = find_successor xor node2.mode = find_successor));
LTLSPEC
G (node2.mode = next_node -> X (node0.mode = find_successor));
INVARSPEC
node0.mode != waiting xor
node1.mode != waiting xor
node2.mode != waiting;
LTLSPEC
G ((node0.mode = get_next_finger & X (node0.mode = find_successor)) -> node0.id = n);
LTLSPEC
G ((node1.mode = get_next_finger & X (node1.mode = find_successor)) -> node1.id = n);
LTLSPEC
G ((node2.mode = get_next_finger & X (node2.mode = find_successor)) -> node2.id = n);
MODULE node(id_i, successor_id_i, fingers_i)
FROZENVAR
id : 0..31;
successor_id : 0..31;
VAR
index : -1..2;
mode : {
waiting,
find_successor,
found_successor,
closest_preceding,
get_next_finger,
test_finger,
next_node
};
DEFINE
fingers := fingers_i;
ASSIGN
init(id) := id_i;
init(successor_id) := successor_id_i;
init(index) := 2;
next(index) :=
case
index = -1 : 2;
mode = get_next_finger : index - 1;
TRUE : index ;
esac;
INVARSPEC
mode = closest_preceding -> index = 2
LTLSPEC
G ((mode = get_next_finger & X (mode = find_successor)) -> X (X (mode = found_successor)))
LTLSPEC
G ((mode = find_successor) -> X (mode = found_successor | mode = closest_preceding)) &
G ((mode = waiting) -> X (mode = find_successor | mode = waiting)) &
G ((mode = closest_preceding) -> X (mode = get_next_finger)) &
G ((mode = get_next_finger) -> X (mode = test_finger | mode = find_successor)) &
G ((mode = test_finger) -> X (mode = get_next_finger | mode = next_node)) &
G ((mode = next_node) -> X (mode = waiting));