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