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