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