Softmax Transformers are Turing-Complete
PositiveArtificial Intelligence
- Recent research has established that length-generalizable softmax Chain-of-Thought (CoT) transformers are Turing-complete, building upon the existing knowledge of hard attention CoT transformers. This proof utilizes the CoT extension of the Counting RASP (C-RASP) and demonstrates Turing-completeness with causal masking over a unary alphabet, while also noting limitations for arbitrary languages without relative positional encoding.
- This development is significant as it expands the understanding of softmax transformers, affirming their computational power and potential applications in complex reasoning tasks. The findings suggest that these models can handle intricate arithmetic reasoning, which is crucial for advancing artificial intelligence capabilities.
- The exploration of Chain-of-Thought reasoning across various models highlights a growing emphasis on improving reasoning transparency and interpretability in AI. As researchers seek to enhance multimodal large language models and their reasoning capabilities, the integration of methods like relative positional encoding and curriculum-based strategies reflects ongoing efforts to address the limitations of existing models.
— via World Pulse Now AI Editorial System
