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