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