Cross-domain transfer via a shared LAWS trie

Let $\mathcal{M}_1$ be a language model and $\mathcal{M}_2$ a robotics model with a shared natural-language task representation. Let $n^*$ be a shared PLT trie node and let $e=(n^*,f_1,\phi,\tau^*)$ be an expert constructed from $\mathcal{M}_1$'s outputs. Cross-domain transfer via a shared trie. The expert transfers to $\mathcal{M}_2$'s robot actions for tasks in the subtree of $n^*$, with validity certified using $\Lambda(W_2)$ applied to the transferred expert.

The proposed transfer relies on semantically aligned outputs for a common natural-language description, as in vision-language-action models. Small validation error for the transferred expert is presented as an empirical claim requiring formal verification.