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