Computer Science > Formal Languages and Automata Theory
[Submitted on 22 Oct 2025
(v1)
, last revised 23 Oct 2025 (this version, v2)]
Title: Transformers are Inherently Succinct
Title: 变压器本质上是简洁的
Abstract: We propose succinctness as a measure of the expressive power of a transformer in describing a concept. To this end, we prove that transformers are highly expressive in that they can represent formal languages substantially more succinctly than standard representations of formal languages like finite automata and Linear Temporal Logic (LTL) formulas. As a by-product of this expressivity, we show that verifying properties of transformers is provably intractable (i.e. EXPSPACE-complete).
Submission history
From: Pascal Bergsträßer [view email][v1] Wed, 22 Oct 2025 07:25:54 UTC (28 KB)
[v2] Thu, 23 Oct 2025 08:09:19 UTC (28 KB)
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