Module used to evaluate boolean formulas

AUTHORS:

  • Chris Gorecki (2006): initial version
  • Paul Scurek (2013-08-05): updated docstring formatting

EXAMPLES:

We can assign values to the variables and evaluate a formula:

sage: import sage.logic.booleval as booleval
sage: t = ['|', ['&', 'a', 'b'], ['&', 'a', 'c']]
sage: d = {'a' : True, 'b' : False, 'c' : True}
sage: booleval.eval_formula(t, d)
True

We can change our assignment of values by modifying the dictionary:

sage: d['a'] = False
sage: booleval.eval_formula(t, d)
False
sage.logic.booleval.eval_f(tree)

Evaluate the tree

INPUT:

  • tree – a list of three elements corresponding to a branch of a parse tree.

OUTPUT:

The result of the evaluation as a boolean value

EXAMPLES:

This example illustrates how to evaluate a parse tree.

sage: import sage.logic.booleval as booleval
sage: booleval.eval_f(['&', True, False])
False
sage: booleval.eval_f(['^', True, True])
False
sage: booleval.eval_f(['|', False, True])
True
sage.logic.booleval.eval_formula(tree, vdict)

Evaluate the tree and return a boolean value.

INPUT:

  • tree – a list of three elements corresponding to a branch of a parse tree.
  • vdict – a dictionary containing variable keys and boolean values.

OUTPUT:

The result of the evaluation as a boolean value

EXAMPLES:

This example illustrates evaluating a boolean formula.

sage: import sage.logic.booleval as booleval
sage: t = ['|', ['&', 'a', 'b'], ['&', 'a', 'c']]
sage: d = {'a' : True, 'b' : False, 'c' : True}
sage: booleval.eval_formula(t, d)
True
sage: d['a'] = False
sage: booleval.eval_formula(t, d)
False
sage.logic.booleval.eval_op(op, lv, rv)

Evaluate lv and rv according to the operator op.

INPUT:

  • op – a string or character representing a boolean operator.
  • lv – a boolean or variable.
  • rv – a boolean or variable.

OUTPUT:

The evaluation of lv op rv as a boolean value

EXAMPLES:

We can evaluate an operator given the values on either side.

sage: import sage.logic.booleval as booleval
sage: booleval.eval_op('&', True, False)
False
sage: booleval.eval_op('^', True, True)
False
sage: booleval.eval_op('|', False, True)
True

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Module that creates boolean formulas as instances of the BooleanFormula class.

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