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