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