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