A Texas lawyer thinks the right to carry guns should extend to a trip to the zoo, but the Dallas Zoo isn’t budging yet on its no-gun policy.

Under Texas law, guns are allowed to be carried on government-owned land, unless it’s a prohibited location, such as a hospital, amusement park, airport or educational institution. Earlier this year, the state implemented a new system that makes it easier for Texas citizens to complain if they think a government agency is wrongfully prohibiting guns.

T. Edwin Walker, a gun-rights lawyer, filed a complaint to the Texas Attorney General’s Office last month under the new system, after first writing a letter to the Dallas Zoo directly about the gun restrictions.

The zoo, which sits on public land but is run by a private operator, has argued it qualifies under the education and amusement park exemptions and should be able to keep up its “no gun” signs. Mr. Walker said in his complaint that the zoo can’t qualify under the education exemption because it doesn’t offer any degrees or courses of study, and that its lack of any rides means it can’t be considered an amusement park.

Mr. Walker, who works with firearms defense firm Texas Law Shield LLP, succeeded in getting “no gun” signs removed from the Houston Zoo after arguing that the animal park, which also sits on publicly owned land and is run by a private entity, must follow the gun rules that apply to government entities.