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