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