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