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