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