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Python package for deal with logical formulas and formal systems

Project description

Pythogic Documentation Status Codacy Badge MIT License

Python package for deal with logical formulas and formal systems.


First of all, create symbols and an alphabet

from pythogic.base.Alphabet import Alphabet
from pythogic.base.Symbol import Symbol

a_sym = Symbol("a")
b_sym = Symbol("b")
c_sym = Symbol("c")
alphabet = Alphabet({a_sym, b_sym, c_sym})

Create some formulas:

from pythogic.base.Formula import AtomicFormula, TrueFormula, FalseFormula, Not, And, Or

# Propositions
a = AtomicFormula(a_sym)
b = AtomicFormula(b_sym)
c = AtomicFormula(c_sym)

# Elementary formulas
not_a = Not(a)
not_a_and_b = And(Not(a), b)
not_a_or_c = Or(not_a, c)
true = TrueFormula()
false = FalseFormula()

Using Propositional Calculus:

from import PL
from import PLInterpretation

# A dictionary which assign each symbol to a truth value
symbol2truth = {
        a_sym: True,
        b_sym: False,
        c_sym: True

# The propositional interpretation
I = PLInterpretation(alphabet, symbol2truth)

# main class which contains useful methods
PL = PL(alphabet)

PL.truth(a, I)              # returns true
PL.truth(b, I)              # returns false
PL.truth(c, I)              # returns true
PL.truth(not_a, I)          # returns false
PL.truth(not_a_and_b, I)    # returns false
PL.truth(not_a_or_c, I)     # returns true
PL.truth(true, I)           # returns true
PL.truth(false, I)          # returns false


  • Compose logical formula by common syntax rules;
  • Implementation of several semantics (FOL Interpretation, finite trace, etc.);
  • Support for several logical formal systems: Propositional Logic, First-order Logic, REf, LTLf, LDLf;


This package was created with Cookiecutter and the audreyr/cookiecutter-pypackage project template.


0.1.0 (2018-02-20)

  • First release on PyPI.

0.2.0 (2018-02-23)

  • First-Order logic support (Formulas, Interpretations, Assignment, Truth of the formulas).

0.2.1 (2018-02-23)

  • Fix on the repo.

0.2.2 (2018-02-25)

  • Refactoring of the formulas and formal systems functionalities.
  • Implemented LDLf.

0.2.3 (2018-02-25)

  • “To negative normal form” procedure for LDLf formulas.

0.2.4 (2018-02-06)

  • Support for LDLf for Empty Traces.

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