Pedro Domingos proposes Tensor Logic: unifying neural and symbolic AI via tensor equations
pmddomingos · x · 2026-09-18
Pedro Domingos published "Tensor Logic: The Language of AI" (arXiv:2510.12269), arguing the current AI panic stems from poor understanding of the field. Key claims:
- AI progress is hampered by language choices: PyTorch/TensorFlow are bolt-ons to Python lacking automated reasoning; LISP/Prolog lack scalability and learning support.
- Tensor logic has a single construct, the tensor equation — logical rules and Einstein summation are essentially the same operation, and everything else reduces to them.
- The paper shows elegant implementations of transformers, formal reasoning, kernel machines, and graphical models.
- It opens new directions like sound reasoning in embedding space, combining neural scalability with symbolic reliability and transparency.
17 pages; the author suggests it could be a basis for broader AI adoption.
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