Arithmetic in the Wild: Llama uses Base-10 Addition to Reason About Cyclic Concepts
Does structure in representations imply structure in computation? We study how Llama-3.1-8B reasons over cyclic concepts (e.g., "what month is six months after August?"). Even though Llama-3.1-8B's representations for these concepts are circularly structured, we find that instead of directly computing modular addition in the period of the cyclic concept (e.g., 12 for months), the model re-uses a generic addition mechanism across tasks that operates independently of concept-specific geometry. First, it computes the sum of its two inputs using base-10 addition (six + August=14). Then, it maps this sum back to cyclic concept space (14->February). We show that Llama-3.1-8B uses task-agnostic ...
| Authors | Sheridan Feucht, Tal Haklay, Usha Bhalla et al. |
|---|---|
| Primary category | cs.AI |
| Published | 1 May 2026 |
| Last updated at source | 1 May 2026 |
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