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