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