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