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