Project TURING (The Language Understanding of Artificial Intelligence Applications) is funded by the National Research State Agency. The language abilities of Large Language Models (LLMs) are a matter of intense, ongoing debate. On the one hand, some scholars believe that such models have passed the Turing test, because they exhibit linguistic behavior that looks indistinguishable from that of a human; possibly even showing strong parallels to how children extrapolate the morphophonological rules of language during first language acquisition. On the other word, other scholars have called for caution, arguing that LLMs are unable to master meaning and grammar. TURING will contribute towards filling the knowledge gap that surrounds the language abilities of LLMs by performing the first systematic investigation of different AI applications, in different languages, while tapping into various domains of language (syntax, morphology, semantics, and pragmatics).