There's no consensus on the definition of what language is. Chomskian linguistics does posit that human language is based on (innate) recursive grammars (narro

There's no consensus on the definition of what language is. Chomskian linguistics does posit that human language is based on (innate) recursive grammars (narrow language faculty hypothesis), but this has always been a contentious question. And per that definition humans too have demonstrated only very limited ability in e.g. infinite embedding.