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