AI BriefingTransformers Are Inherently Succinct
·2026.05.05 05:03
Key point
It was shown that transformers express formal languages more succinctly, and that verification is EXPSPACE-complete.
Details
Proposed succinctness as a measure of transformer expressiveness.
- Proved that transformers can express formal languages far more succinctly than finite automata and LTL.
- As a trade-off for that expressiveness, verifying properties of transformers becomes EXPSPACE-complete.
In summary, this result shows that transformers have theoretically very compressive expressive power, and that this comes with a correspondingly large increase in verification difficulty.
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