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