Transformer LLMs are Turing Complete after all !?

Are transformer LLMs equivalent to Turing machines or not? Spoiler: they are, because Franz Nowak (the guest of this episode) and colleagues proved this in their latest paper! We talk with Franz about RNNs, transformer encoders, decoders (with CoT), so if you're like me and always wanted some clarity on the computational expressivity of deep learning architectures -- and the Chomsky hierarchy -- have a listen! 🎙️ AI Coffee Break Merch! 🛍️ https://aicoffeebreak.creator-spring.com/ 📚 ACL tutorial on Computational Expressivity of LLMs: https://acl2024.ivia.ch/ 🗂️ Franz Nowak: https://franznowak.github.io/ 📃 Nowak, F., Svete, A., Butoi, A. and Cotterell, R., 2024. On the Representational Capacity of Neural Language Models with Chain-of-Thought Reasoning. https://arxiv.org/abs/2406.14197 Outline: 00:00 Transformers are Turing complete! 00:52 Franz Nowak Intro 03:14 The Chomsky Hierarchy 07:49 Is my laptop Turing complete? 09:27 Transformer encoders 10:19 Transformer decoders 12:26 RNNs are Turing complete 13:52 LLM with CoT 17:51 Learnability 21:11 Sparsity of human proofs 25:59 Why care about theory? Thanks to our Patrons who support us in Tier 2, 3, 4: 🙏 Dres. Trost GbR, Siltax, Vignesh Valliappan, Michael, Sunny Dhiana, Andy Ma ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ 🔥 Optionally, pay us a coffee to help with our Coffee Bean production! ☕ Patreon: https://www.patreon.com/AICoffeeBreak Ko-fi: https://ko-fi.com/aicoffeebreak Join this channel to get access to perks: https://www.youtube.com/channel/UCobqgqE4i5Kf7wrxRxhToQA/join ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀ 🔗 Links: AICoffeeBreakQuiz: https://www.youtube.com/c/AICoffeeBreak/community Twitter: https://twitter.com/AICoffeeBreak Reddit: https://www.reddit.com/r/AICoffeeBreak/ YouTube: https://www.youtube.com/AICoffeeBreak #AICoffeeBreak #MsCoffeeBean #MachineLearning #AI #research​ Music 🎵 : Just Breathing (Instrumental) - NEFFEX