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