Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.idempand |
Location | [1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notfalse |
Location | [1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ T /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~q /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,0,1,1,1,1,0,0,0,0,0,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~q) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,0,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ T /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,0,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,0,1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~F /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,0,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ T /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,0,0,0,0,0,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~q) /\ ~q /\ ~F /\ ~~T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ T /\ ~q /\ ~r))
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,1,1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
~~(p /\ ~q) /\ ~F /\ ((p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~~T /\ ~q /\ T /\ q) || (p /\ p /\ T /\ T /\ ~~~~(p /\ ~(F || q)) /\ ~q /\ ~F /\ ~F /\ ~q /\ ~r))
ready: no