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