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sols.py
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sols.py
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__author__ = 'marcincuber'
# -*- coding: utf-8 -*-
'''
:psi is our parsed formula in tableaux format
:for each formula in the list deal with all alphas formulas
:return a list which does not contain any alpas to deal with
'''
def recursivealpha(psi):
#define constants and modalities
parsed_constants = ['or', 'and', 'imply', 'not']
parsed_modalities = ['diamond', 'box']
#deal with formulas which have AND in the first position
#scan formulas recursiverly until all formulas are dealt with
if psi[0] == 'and':
psi1_set = [psi[1]]
if psi[1][0] in parsed_constants or psi[1][0] in parsed_modalities:
psi1_set = recursivealpha(psi[1])
psi2_set = [psi[2]]
if psi[2][0] in parsed_constants or psi[2][0] in parsed_modalities:
psi2_set = recursivealpha(psi[2])
return psi1_set + psi2_set
#deal with formulas which contain double negations
elif psi[0] == 'not' and isinstance(psi[1], tuple) and psi[1][0] == 'not':
result = [psi[1][1]]
if psi[1][1][0] in parsed_constants or psi[1][1][0] in parsed_modalities:
result = recursivealpha(psi[1][1])
return result
#deal with formulas with NOT(IMPLY,A,B) in which we return negated B and A
elif psi[0] == 'not' and isinstance(psi[1], tuple) and psi[1][0] == 'imply':
psi1 = (psi[1][1])
psi1_set = [psi1]
if psi[1][1][0] in parsed_constants or psi[1][1][0] in parsed_modalities:
psi1_set = recursivealpha(psi1)
psi2_set = [('not',psi[1][2])]
if isinstance(psi[1][2], str):
psi2_set = [('not',psi[1][2])]
elif psi[1][2][0] in parsed_constants or psi[1][2][0] in parsed_modalities:
psi2_set = recursivealpha(('not',psi[1][2]))
return (psi1_set + psi2_set)
#deal with formulas with NOT(OR,A,B) in which we return negated B and negated A
elif psi[0] == 'not' and isinstance(psi[1], tuple) and psi[1][0] == 'or':
psi1 = ('not', psi[1][1])
psi1_set = ['not',psi[1][1]]
if psi[1][1][0] in parsed_constants or psi[1][1][0] in parsed_modalities:
psi1_set = recursivealpha(psi1)
psi2 = ('not', psi[1][2])
psi2_set = [('not', psi[1][2])]
if psi[1][2][0] in parsed_constants or psi[1][2][0] in parsed_modalities:
psi2_set = recursivealpha(psi2)
return psi1_set + psi2_set
#if there are formulas which are not alphas, just add them to the list
else:
return [psi]
'''
:Function finds and removes inconsistent formulas from the list
'''
def inconsistent(psi):
#initialise status to be false psi meaning that psi is consistent
status = False;
main_list=psi
for i in range(0,len(psi)):
for j in range(0,len(psi[i])):
#we assign each formula from the list to a variable main
main = psi[i]
if isinstance(main, str):
contra = ('not',main)
if (contra in main_list) and (main in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'not' and isinstance(main[1][1],str):
if (main[1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][1], tuple) and \
main[1][1][0] == 'not' and isinstance(main[1][1][1],str):
contra = ('not',main[1][1][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][2], tuple) and \
main[1][2][0] == 'not' and isinstance(main[1][2][1],str):
contra = ('not',main[1][2][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][2],str):
if (main[1][2] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][2], tuple) and \
main[1][2][0] == 'not' and isinstance(main[1][2][1],str):
contra = ('not',main[1][2][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][1], tuple) and \
main[1][1][0] == 'not' and isinstance(main[1][1][1],str):
contra = ('not',main[1][1][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][1],str):
if (main[1][1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][1], tuple) and \
main[1][1][0] == 'not' and isinstance(main[1][1][1],str):
print "we are here:"
if (main[1][1][1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][2], tuple) and \
main[1][2][0] == 'not' and isinstance(main[1][2][1],str):
if (main[1][2][1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][2],str):
if (main[1][2] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][2], tuple) and \
main[1][2][0] == 'not' and isinstance(main[1][2][1],str):
contra = ('not',main[1][2][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][1], tuple) and \
main[1][1][0] == 'not' and isinstance(main[1][1][1],str):
if (main[1][1][1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][1],str):
contra = ('not', main[1][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][1], str):
if (main[1][1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][2], str):
if (main[1][2] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][2], str):
if (main[1][2] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'or' and isinstance(main[1][1], str):
if (main[1][1] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][1], str):
contra = ('not',main[1][1])
if (contra in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][2], str):
if (main[1][2] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][2], str):
if (main[1][2] in main_list):
status = True
break
elif main[0] == 'not' and main[1][0] == 'imply' and isinstance(main[1][1], str):
contra = ('not',main[1][1])
if (contra in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[1], tuple) and main[1][0] == 'not' and \
isinstance(main[1][1], str):
if (main[1][1] in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[2], tuple) and main[2][0] == 'not' and \
isinstance(main[2][1], str):
if (main[2][1] in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[2], str):
contra = ('not',main[2])
if (contra in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[2], tuple) and main[2][0] == 'not' and \
isinstance(main[2][1], str):
if (main[2][1] in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[1], tuple) and main[1][0] == 'not' and \
isinstance(main[1][1], str):
if (main[1][1] in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[1], str):
contra = ('not',main[1])
if (contra in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[1], str):
contra = ('not',main[1])
if (contra in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[2], str):
contra = ('not',main[2])
if (contra in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[2], str):
contra = ('not',main[2])
if (contra in main_list):
status = True
break
elif main[0] == 'and' and isinstance(main[1], str):
contra = ('not',main[1])
if (contra in main_list):
status = True
break
return status