What Is a Syntax? Intrinsic Generation and the Finitary Generation Thesis

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Authors

Publication Details

Journal
Open Science Framework
Published
2026-09-18
DOI
https://doi.org/10.17605/osf.io/j6yrz
Primary Topic
semigroups and automata theory
Type
preprint
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preprint

What Is a Syntax? Intrinsic Generation and the Finitary Generation Thesis

Giorgio Angelo Reveco Barraza
Open Science Framework
semigroups and automata theory
preprint

What Is a Syntax? Intrinsic Generation and the Finitary Generation Thesis

Giorgio Angelo Reveco Barraza
preprint en

Abstract

Preprint of "What Is a Syntax? Intrinsic Generation and the Finitary Generation Thesis". The paper asks what distinguishes a syntax from an arbitrary set of strings. It isolates intrinsic generation, characterises the languages generable from finitely many atoms by expansive operations, locates the resulting class in the Chomsky hierarchy, and states a finitary generation thesis by postulates, in the manner of Dershowitz and Gurevich, with an extensional consequence refutable by counting. Under a sixth postulate, locality, every syntax is context-free.

Open Science Framework
semigroups and automata theory
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