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