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