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