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