Base-10 Addition Mechanism in Llama

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• Llama-3.1-8B uses base-10 addition rather than modular addition to compute cyclic concept sumsfinding0.821
  The central empirical finding that computation does not mirror the circular representational structure
• Does Llama compute modular addition or base-10 addition for cyclic tasks?question0.818
  The specific computational question the paper resolves empirically
• We hypothesize that Llama-3.1-8B deploys the same base-10 addition circuitry for cyclic reasoning as it uses for general arithmetic, independent of the concept domainhypothesis0.807
  Predictive hypothesis about domain-generality of the identified mechanism
• Llama-3.1-8B reuses a single generic addition mechanism across all cyclic tasks independently of concept-specific geometryfinding0.802
  Key mechanistic finding showing task-agnostic reuse of arithmetic circuitry
• An addition module in layer 18 of Llama-3.1 8B performs arithmetic using circular geometric representations of numbers.quote0.780
  Verbatim summary of the main discovery.
• Llama-3.1-8B implements a two-stage algorithm: (1) compute integer sum via base-10 addition (e.g., six + August = 14), then (2) map sum to cyclic concept space (14 → February)finding0.764
  The complete mechanistic algorithm discovered for cyclic concept reasoning
• Llama-3.3-70B exhibits internal consistency-checking mechanisms that operate during inferenceclaim0.760
  Central interpretive claim of the paper supported by causal ablation and activation evidence
• Base-10 additionconcept0.755
  The generic addition mechanism that Llama-3.1-8B actually uses to compute sums before mapping back to cyclic concept space