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