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