I have some dictionary e.g. of form:
my_dictionary = {'A': '¬(p)', 'B': '→(q, ∧(¬(p), ∨(y, z)))', 'Aim': ['p', '→(p, q)']}
Is their a simple way to replace all strings appearing in the dictionary values of form →(q, ∧(¬(p), ∨(y, z)))
or →(p, q)
by (q→(¬(p)∧(y∨z)))
or (p→q)
?
I found some solution by my own using some prolog:
Prolog-file (called "logic.pl") has to contain the following code:
:-op(800, fx, ~).
:-op(801, xfy, ∧).
:-op(802, xfy, ∨).
:-op(803, xfy, →).
:-op(804, xfy, ↔).
m_Proposition_Binary_x_y(X ∨ Y, X, Y).
m_Proposition_Binary_x_y(X ∧ Y, X, Y).
m_Proposition_Binary_x_y(X → Y, X, Y).
m_Proposition_Binary_x_y(X ↔ Y, X, Y).
Now we can define some function:
from pyswip import Prolog
def normalize(collection):
interface = Prolog()
interface.consult("Prolog/logic.pl")
if type(collection) is str:
proposition = collection
try:
rest = list(interface.query(f"m_Proposition_Binary_x_y({proposition},A,B)".replace("'","")))[0]
return f"({normalize(rest['A'])}{proposition[0]}{normalize(rest['B'])})"
except:
return proposition
elif type(collection) is list:
return [normalize(x) for x in collection]
elif type(collection) is dict:
old_dict = collection
new_dict = {}
for key in old_dict:
new_dict[key] = normalize(old_dict[key])
return new_dict
With that background its possible to normalize the dictionary very easy:
my_dictionary = {'A': '~(p)', 'B': '→(q, ∧(~(p), ∨(y, z)))', 'Aim': ['p', '→(p, q)']}
print(m_str.normalize(my_dictionary))
Output:
{'A': '~(p)', 'B': '(q→(~(p)∧(y∨z)))', 'Aim': ['p', '(p→q)']}
Only problem, for some reason I cant use ¬ instead of ~ with pyswip library (Version: 0.2.11), cause with ¬ I get the curios error:
U+ffffffac is not in range [U+0000; U+10ffff]
whereby ¬ has unicode U+00AC ..