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