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