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