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