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