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