Linguists rely on intuitive conceptions of structure when comparing expressions and languages. In an algebraic presentation of a language, some natural notions of similarity can be rigorously defined (e.g. among elements of a language, equivalence w.r.t. isomorphisms of the language; and among languages, equivalence w.r.t. isomorphisms of symmetry groups), but it tums out that slightly more complex and nonstandard notions are needed to capture the kinds of comparisons linguists want to make. This paper identihes some of the important notions of structural similarity, with attention to similarity claims that are prominent in the current linguistic tradition of transformational grammar. @ 2002 Elsevier Science B.V. All rights reserved.
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Geometric Representations for Minimalist Grammars.Peter Beim Graben & Sabrina Gerth - 2012 - Journal of Logic, Language and Information 21 (4):393-432.
The Cooper Storage Idiom.Gregory M. Kobele - 2018 - Journal of Logic, Language and Information 27 (2):95-131.
Predicate-Induced Permutation Groups.M. Gerner - 2012 - Journal of Semantics 29 (1):109-144.

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