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examples_dtns.py
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examples_dtns.py
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# type: ignore
""" Examples & Benchmarks
This module contains the manually encoded examples from the paper.
The current input format still is very rudimentary and needs to be changed
as it involves much manual labor. However, we encoded these examples so that
you don't have to.
We plan to add support for text based input formats that are easier to write
and check and possibly make it compatible with other tools such as UPPAAL.
"""
from dbm.bound import Bound
from dbm.constraint import Constraint
from dtn.gta import GTA, to_gta_transitions
# Example 1 --------------------------------------------------------------------
locations = ["q1", "q2", "q3", "q4"]
init_states = ["q1"]
invariants = {
"q1": Constraint("x", "0", Bound.leq(1)),
"q2": Constraint("y", "0", Bound.unbounded()),
"q3": Constraint("x", "0", Bound.unbounded()),
"q4": Constraint("x", "0", Bound.unbounded()),
}
transitions = {
"t1": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q1",
},
"t2": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "y", Bound.leq(-5))],
"reset_clocks": ["y"],
"loc_guard": "empty",
"target_loc": "q2",
},
"t3": {
"source_loc": "q1",
"clock_guard": [Constraint("y", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "q2",
"target_loc": "q3",
},
}
example_1_ta = GTA(
locations, init_states, to_gta_transitions(transitions), invariants, ["x", "y"]
)
# Example 2 --------------------------------------------------------------------
locations = ["q1", "q2", "q3", "q4", "q5", "q6"]
init_states = ["q1"]
invariants = {
"q1": Constraint("x", "0", Bound.unbounded()),
"q2": Constraint("x", "0", Bound.leq(2)),
"q3": Constraint("x", "0", Bound.leq(2)),
"q4": Constraint("x", "0", Bound.unbounded()),
"q5": Constraint("x", "0", Bound.unbounded()),
"q6": Constraint("x", "0", Bound.unbounded()),
}
transitions = {
"t1": {
"source_loc": "q1",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q2",
},
"t2": {
"source_loc": "q2",
"clock_guard": [Constraint("0", "x", Bound.leq(-2))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q3",
},
"t3": {
"source_loc": "q3",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q2",
},
"t4": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-5))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q4",
},
"t5": {
"source_loc": "q4",
"clock_guard": [Constraint("0", "x", Bound.leq(-5))],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q5",
},
"t6": {
"source_loc": "q2",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "q5",
"target_loc": "q6",
},
}
example_2_ta = GTA(locations, init_states, to_gta_transitions(transitions), invariants)
# Example 3 - GCS(3) -----------------------------------------------------------
locations = ["syH", "syL", "0H", "1H", "2H", "0L", "1L", "2L"]
init_states = ["0H"]
invariants = {
"syH": Constraint("x", "0", Bound.unbounded()),
"syL": Constraint("x", "0", Bound.unbounded()),
"0H": Constraint("x", "0", Bound.leq(2)),
"1H": Constraint("x", "0", Bound.leq(2)),
"2H": Constraint("x", "0", Bound.leq(2)),
"0L": Constraint("x", "0", Bound.leq(4)),
"1L": Constraint("x", "0", Bound.leq(4)),
"2L": Constraint("x", "0", Bound.leq(4)),
}
transitions = {
# Green tag
"tsyH-0Hu": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "0H",
},
"t0H-syHu": {
"source_loc": "0H",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "syH",
},
# Orange tag
"tsyH-0Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0H",
},
"tsyH-1Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1H",
},
"tsyH-2Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2H",
},
# black tag
"t0H-1H": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "1H",
},
"t1H-2H": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "2H",
},
"t2H-0H": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "0H",
},
# red tag
"tsyL-0H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0H",
},
"tsyL-1H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1H",
},
"tsyL-2H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2H",
},
# blue tag
"t0H-1LgOHless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "1L",
},
"t0H-1Lg1Hless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1L",
},
"t0H-1Lg2Hless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "1L",
},
"t0H-1Lg0Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "1L",
},
"t0H-1Lg1Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1L",
},
"t0H-1Lg2Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "1L",
},
"t1H-2Lg0Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "2L",
},
"t1H-2Lg1Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "2L",
},
"t1H-2Lg2Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2L",
},
"t1H-2Lg0Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "2L",
},
"t1H-2Lg1Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "2L",
},
"t1H-2Lg2Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2L",
},
"t2H-0Lg0Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0L",
},
"t2H-0Lg1Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "0L",
},
"t2H-0Lg2Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "0L",
},
"t2H-0Lg0Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0L",
},
"t2H-0Lg1Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "0L",
},
"t2H-0Lg2Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "0L",
},
# purple tag
"tsyL-0L": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "0L",
},
"t0L-syL": {
"source_loc": "0L",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "syL",
},
# brown tag
"t0L-1L": {
"source_loc": "0L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "1L",
},
"t1L-2L": {
"source_loc": "1L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "2L",
},
"t2L-0L": {
"source_loc": "2L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "0L",
},
}
example_3_ta = GTA(locations, init_states, to_gta_transitions(transitions), invariants)
gcs_3 = example_3_ta
# Example 4 - GCS(4) -----------------------------------------------------------
locations = ["syH", "syL", "0H", "1H", "2H", "3H", "0L", "1L", "2L", "3L"]
init_states = ["0H"]
invariants = {
"syH": Constraint("x", "0", Bound.unbounded()),
"syL": Constraint("x", "0", Bound.unbounded()),
"0H": Constraint("x", "0", Bound.leq(2)),
"1H": Constraint("x", "0", Bound.leq(2)),
"2H": Constraint("x", "0", Bound.leq(2)),
"3H": Constraint("x", "0", Bound.leq(2)),
"0L": Constraint("x", "0", Bound.leq(4)),
"1L": Constraint("x", "0", Bound.leq(4)),
"2L": Constraint("x", "0", Bound.leq(4)),
"3L": Constraint("x", "0", Bound.leq(4)),
}
transitions = {
# Green tag
"tsyH-0Hu": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "0H",
},
"t0H-syHu": {
"source_loc": "0H",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "syH",
},
# Orange tag
"tsyH-0Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0H",
},
"tsyH-1Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1H",
},
"tsyH-2Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2H",
},
"tsyH-3Hg": {
"source_loc": "syH",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "3H",
},
# black tag
"t0H-1H": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "1H",
},
"t1H-2H": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "2H",
},
"t2H-3H": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "3H",
},
"t3H-0H": {
"source_loc": "3H",
"clock_guard": [
Constraint("x", "0", Bound.leq(2)),
Constraint("0", "x", Bound.leq(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "0H",
},
# red tag
"tsyL-0H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0H",
},
"tsyL-1H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1H",
},
"tsyL-2H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2H",
},
"tsyL-3H": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "3H",
},
# blue tag
"t0H-1LgOHless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "1L",
},
"t0H-1Lg1Hless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1L",
},
"t0H-1Lg2Hless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "1L",
},
"t0H-1Lg3Hless": {
"source_loc": "0H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "1L",
},
"t0H-1Lg0Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "1L",
},
"t0H-1Lg1Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "1L",
},
"t0H-1Lg2Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "1L",
},
"t0H-1Lg3Hgreat": {
"source_loc": "0H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "1L",
},
"t1H-2Lg0Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "2L",
},
"t1H-2Lg1Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "2L",
},
"t1H-2Lg2Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2L",
},
"t1H-2Lg3Hless": {
"source_loc": "1H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "2L",
},
"t1H-2Lg0Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "2L",
},
"t1H-2Lg1Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "2L",
},
"t1H-2Lg2Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "2L",
},
"t1H-2Lg3Hgreat": {
"source_loc": "1H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "2L",
},
########## 2H to 3L new transition start ############
"t2H-3Lg0Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "3L",
},
"t2H-3Lg1Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "3L",
},
"t2H-3Lg2Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "3L",
},
"t2H-3Lg3Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "3L",
},
"t2H-3Lg0Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "3L",
},
"t2H-3Lg1Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "3L",
},
"t2H-3Lg2Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "3L",
},
"t2H-3Lg3Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "3L",
},
########## 2H to 3L new transition end ############
########## 3H to 0L new transition start ############
"t3H-0Lg0Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0L",
},
"t3H-0Lg1Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "0L",
},
"t3H-0Lg2Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "0L",
},
"t3H-0Lg3Hless": {
"source_loc": "2H",
"clock_guard": [
Constraint("x", "0", Bound.le(2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "0L",
},
"t3H-0Lg0Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "0H",
"target_loc": "0L",
},
"t3H-0Lg1Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "1H",
"target_loc": "0L",
},
"t3H-0Lg2Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "2H",
"target_loc": "0L",
},
"t3H-0Lg3Hgreat": {
"source_loc": "2H",
"clock_guard": [
Constraint("0", "x", Bound.le(-2)),
],
"reset_clocks": ["x"],
"loc_guard": "3H",
"target_loc": "0L",
},
########## 3H to 0L new transition end ############
# purple tag
"tsyL-0L": {
"source_loc": "syL",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "0L",
},
"t0L-syL": {
"source_loc": "0L",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "syL",
},
# brown tag
"t0L-1L": {
"source_loc": "0L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "1L",
},
"t1L-2L-1": {
"source_loc": "1L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "2L",
},
"t1L-2L": {
"source_loc": "2L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "3L",
},
"t3L-0L": {
"source_loc": "3L",
"clock_guard": [Constraint("0", "x", Bound.leq(-1))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "0L",
},
}
example_4_ta = GTA(locations, init_states, to_gta_transitions(transitions), invariants)
gcs_4 = example_4_ta
# Example 5 --------------------------------------------------------------------
locations = ["q1", "q2", "q3"]
init_states = ["q1"]
invariants = {
"q1": Constraint("x", "0", Bound.unbounded()),
"q2": Constraint("x", "0", Bound.unbounded()),
"q3": Constraint("x", "0", Bound.unbounded()),
}
transitions = {
"t1": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-5))],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q3",
},
"t2": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-3))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q2",
},
"t3": {
"source_loc": "q2",
"clock_guard": [Constraint("0", "x", Bound.leq(-2))],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q3",
},
}
ta_example_5 = GTA(locations, init_states, to_gta_transitions(transitions), invariants)
# Example 6 --------------------------------------------------------------------
locations = ["q1", "q2", "q3", "q4", "q5", "q6", "q7"]
init_states = ["q1"]
invariants = {
"q1": Constraint("x", "0", Bound.unbounded()),
"q2": Constraint("x", "0", Bound.unbounded()),
"q3": Constraint("x", "0", Bound.unbounded()),
"q4": Constraint("x", "0", Bound.unbounded()),
"q5": Constraint("x", "0", Bound.unbounded()),
"q6": Constraint("x", "0", Bound.unbounded()),
"q7": Constraint("x", "0", Bound.unbounded()),
}
transitions = {
"t1": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-5))],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q7",
},
"t2": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-3))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q2",
},
"t3": {
"source_loc": "q2",
"clock_guard": [Constraint("0", "x", Bound.leq(-2))],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q7",
},
"t4": {
"source_loc": "q1",
"clock_guard": [Constraint("0", "x", Bound.leq(-2))],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q3",
},
"t5": {
"source_loc": "q3",
"clock_guard": [
Constraint("x", "0", Bound.leq(1)),
Constraint("0", "x", Bound.leq(-1)),
],
"reset_clocks": [],
"loc_guard": "empty",
"target_loc": "q7",
},
"t6": {
"source_loc": "q3",
"clock_guard": [Constraint("x", "0", Bound.unbounded())],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q4",
},
"t7": {
"source_loc": "q4",
"clock_guard": [Constraint("0", "x", Bound.leq(-2))],
"reset_clocks": ["x"],
"loc_guard": "empty",
"target_loc": "q5",
},
"t8": {
"source_loc": "q5",
"clock_guard": [Constraint("0", "x", Bound.unbounded())],
"reset_clocks": [],
"loc_guard": "empty",