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