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The subject-verb-object (SVO) word order prevalent in English is shared byabout $42\%$ of world languages. Another $45\%$ of all languages follow the SOVorder, $9\%$ the VSO order, and fewer languages use the three remainingpermutations. None of the many extant explanations of this phenomenon take intoaccount the difficulty of implementing these permutations in the brain. Wepropose a plausible model of sentence generation inspired by the recentlyproposed Assembly Calculus framework of brain function. Our model results in anatural explanation of the uneven frequencies. Estimating the parameters ofthis model yields predictions of the relative difficulty of dis-inhibiting onebrain area from another. Our model is based on the standard syntax tree, asimple binary tree with three leaves. Each leaf corresponds to one of the threeparts of a basic sentence. The leaves can be activated through lock and unlockoperations and the sequence of activation of the leaves implements a specificword order. More generally, we also formulate and algorithmically solve theproblems of implementing a permutation of the leaves of any binary tree, and ofselecting the permutation that is easiest to implement on a given binary tree.

Implementing Permutations in the Brain and SVO Frequencies of Languages