def symmetric_gamma_node(graph, node, formulas_in):
value_list = graph.node[node]
size = len(value_list)
index = 0
for i in range(index,size):
value = value_list[i]
if value[0] == 'box':
formula = value[1]
if value not in formulas_in[node]:
formulas_in[node].append(value)
try:
graph.successors(node)
except:
break
next_node = graph.successors(node)
for single_node in next_node:
if single_node < node:
#take the initial size of list to check whether it expanded
initial_size = len(graph.node[single_node])
if formula not in graph.node[single_node]:
graph.node[single_node].append(formula)
alpha_node_solve(graph,single_node)
beta_node_solve(graph,single_node, formulas_in)
final_size = len(graph.node[single_node])
#take diff to scan for these new entries
diff_size = final_size-initial_size
if diff_size > 0:
value_list_single_node_initial= graph.node[single_node]
value_list_single_node = value_list_single_node_initial[-diff_size:]
for value in value_list_single_node:
if isinstance(value,tuple) and value[0] == 'box':
part = value[1]
if part not in graph.node[node]:
graph.node[node].append(part)
elif isinstance(value,tuple) and value[0] == 'not' and value[1][0] == 'diamond':
part = ('not',value[1][1])
if part not in graph.node[node]:
graph.node[node].append(part)
elif isinstance(value, tuple) and value[0] == 'diamond':
part = value[1]
new_node= graph.number_of_nodes()+1
#adding new world
graph.add_edge(single_node,(new_node))
#adding symmetric edge
graph.add_edge((new_node),single_node)
formulas_in[new_node] = []
graph.node[single_node] = value_list_single_node_initial
graph.node[new_node] = [part]
#expand new delta formulae
previous = graph.predecessors(new_node)
for num in previous:
set = graph.node[num];
for j in range(0,len(set)):
if set[j][0] == 'not' and set[j][1][0] == 'diamond':
formula = ('not',set[j][1][1])
if formula not in graph.node[new_node]:
graph.node[new_node].append(formula)
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
elif set[j][0] == 'box':
if set[j][1] not in graph.node[new_node]:
graph.node[new_node].append(set[j][1])
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
elif isinstance(value,tuple) and value[0] == 'not' and value[1][0] == 'box':
part = ('not', value[1][1])
new_node= graph.number_of_nodes()+1
#adding new world
graph.add_edge(single_node,(new_node))
#adding symmetric edge
graph.add_edge((new_node),single_node)
formulas_in[new_node] = []
graph.node[single_node] = value_list_single_node_initial
graph.node[new_node] = [part]
previous = graph.predecessors(new_node)
for num in previous:
set = graph.node[num];
for j in range(0,len(set)):
if set[j][0] == 'not' and set[j][1][0] == 'diamond':
formula = ('not',set[j][1][1])
if formula not in graph.node[new_node]:
graph.node[new_node].append(formula)
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
elif set[j][0] == 'box':
if set[j][1] not in graph.node[new_node]:
graph.node[new_node].append(set[j][1])
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
alpha_node_solve(graph, node)
beta_node_solve(graph, node, formulas_in)
delta_node_solve(graph, node, formulas_in)
elif value[0] == 'not' and value[1][0] == 'diamond':
formula = ('not', value[1][1])
if value not in formulas_in[node]:
formulas_in[node].append(value)
try:
graph.successors(node)
except:
break
next_node = graph.successors(node)
for single_node in next_node:
if single_node < node:
#take the initial size of list to check whether it expanded
initial_size = len(graph.node[single_node])
if formula not in graph.node[single_node]:
graph.node[single_node].append(formula)
alpha_node_solve(graph, single_node)
beta_node_solve(graph, single_node, formulas_in)
final_size = len(graph.node[single_node])
#take diff to scan for these new entries
diff_size = final_size-initial_size
if diff_size > 0:
value_list_single_node_initial= graph.node[single_node]
value_list_single_node = value_list_single_node_initial[-diff_size:]
for value in value_list_single_node:
if isinstance(value,tuple) and value[0] == 'box':
part = value[1]
if part not in graph.node[node]:
graph.node[node].append(part)
elif isinstance(value,tuple) and value[0] == 'not' and value[1][0] == 'diamond':
part = ('not',value[1][1])
if part not in graph.node[node]:
graph.node[node].append(part)
elif isinstance(value, tuple) and value[0] == 'diamond':
part = value[1]
new_node= graph.number_of_nodes()+1
#adding new world
graph.add_edge(single_node,(new_node))
#adding symmetric edge
graph.add_edge((new_node),single_node)
formulas_in[new_node] = []
graph.node[single_node] = value_list_single_node_initial
graph.node[new_node] = [part]
previous = graph.predecessors(new_node)
for num in previous:
set = graph.node[num];
for j in range(0,len(set)):
if set[j][0] == 'not' and set[j][1][0] == 'diamond':
formula = ('not',set[j][1][1])
if formula not in graph.node[new_node]:
graph.node[new_node].append(formula)
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
elif set[j][0] == 'box':
if set[j][0] not in graph.node[new_node]:
graph.node[new_node].append(set[j][1])
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
elif isinstance(value,tuple) and value[0] == 'not' and value[1][0] == 'box':
part = ('not', value[1][1])
new_node= graph.number_of_nodes()+1
#adding new world
graph.add_edge(single_node,(new_node))
#adding symmetric edge
graph.add_edge((new_node),single_node)
formulas_in[new_node] = []
graph.node[single_node] = value_list_single_node_initial
graph.node[new_node] = [part]
previous = graph.predecessors(new_node)
for num in previous:
set = graph.node[num];
for j in range(0,len(set)):
if set[j][0] == 'not' and set[j][1][0] == 'diamond':
formula = ('not',set[j][1][1])
if formula not in graph.node[new_node]:
graph.node[new_node].append(formula)
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
elif set[j][0] == 'box':
if set[j][0] not in graph.node[new_node]:
graph.node[new_node].append(set[j][1])
alpha_node_solve(graph,new_node)
beta_node_solve(graph,new_node, formulas_in)
alpha_node_solve(graph, node)
beta_node_solve(graph, node, formulas_in)
delta_node_solve(graph, node, formulas_in)
def delta_node_solve(graph, node, formulas_in):
delta_list = graph.node[node]
for i in range(len(delta_list)-1,-1,-1):
part1 = delta_list[i][0]
if part1 == 'diamond':
sub = delta_list[i]
if sub not in formulas_in[node]:
formulas_in[node].append(sub)
part2 = delta_list[i][1]
new_node= graph.number_of_nodes()+1
graph.add_edge(node,(new_node)) #adding new world and relation Rxx'
graph.add_edge((new_node), node) #add symmetric edge
graph.node[node] = delta_list
graph.node[new_node] = [part2]
formulas_in[new_node] = []
alpha_node_solve(graph, node)
beta_node_solve(graph, node, formulas_in)
previous = graph.predecessors(new_node)
for num in previous:
set = graph.node[num];
for j in range(0,len(set)):
if set[j][0] == 'not' and set[j][1][0] == 'diamond':
formula = ('not',set[j][1][1])
if formula not in graph.node[new_node]:
graph.node[new_node].append(formula)
alpha_node_solve(graph, new_node)
beta_node_solve(graph, new_node, formulas_in)
elif set[j][0] == 'box':
if set[j][1] not in graph.node[new_node]:
graph.node[new_node].append(set[j][1])
alpha_node_solve(graph, new_node)
beta_node_solve(graph, new_node, formulas_in)
elif part1 == 'not' and delta_list[i][1][0] == 'box':
sub = delta_list[i]
if sub not in formulas_in[node]:
formulas_in[node].append(sub)
part2 = ('not', delta_list[i][1][1])
new_node= graph.number_of_nodes()+1
graph.add_edge(node,(new_node)) #adding new world and relation Rxx'
graph.add_edge((new_node), node) #add symmetric edge
graph.node[node] = delta_list
graph.node[new_node] = [part2]
formulas_in[new_node] = []
alpha_node_solve(graph, node)
beta_node_solve(graph, node, formulas_in)
previous = graph.predecessors(new_node)
for num in previous:
set = graph.node[num];
for j in range(0,len(set)):
if set[j][0] == 'not' and set[j][1][0] == 'diamond':
formula = ('not',set[j][1][1])
if formula not in graph.node[new_node]:
graph.node[new_node].append(formula)
alpha_node_solve(graph, new_node)
beta_node_solve(graph, new_node, formulas_in)
elif set[j][0] == 'box':
if set[j][1] not in graph.node[new_node]:
graph.node[new_node].append(set[j][1])
alpha_node_solve(graph, new_node)
beta_node_solve(graph, new_node, formulas_in)
