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