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