Yes, calling an algorithm, a formal description of a generative function "a language" is clearly wrong. I don't think we need an academic dissertation on this.
I take it you disagree with the conclusions from TFA then?
> Sometimes a natural language such as English is a good choice, sometimes you need the language of mathematical equations, or chemical equations, or musical notation, and sometimes a programming language is best. Written language is an amazing invention that has enabled human culture to build over the centuries (and also enabled LLMs to work). But human ingenuity has divised [sic] other notations that are more specialized but very effective in limited domains.
