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  1. The Surprising Simplicity of Syntax: Derivation Trees, Subregular Complexity, and What It Implies for Language and Cognition

    Graf, Thomas

    Abstract It is a well-known fact of computational linguistics that syntax is mildly context-sensitive and thus highly complex —- certainly more complex than phonology or morphology. This complexity is at odds with the ease of language acquisition and the impressive speed of human sentence …

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  2. Adjunction to Movement Paths: Floating Quantifiers as the Little Brother of Parasitic Gaps

    Graf, Thomas

    Abstract A lot of recent work in computational phonology seeks to pinpoint the complexity of phonotactic dependencies from a formal perspective. Numerous mathematical classes have been proposed, but Graf (2017) subsumes them all under the umbrella of interval-based strictly piecewise dependencies (IBSP). IBSP …

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  3. Tiers and Relativized Locality Across Language Modules

    Graf, Thomas, Alëna Aksënova, Hyunah Baek, Aniello De Santo, Hossep Dolatian, Sedigheh Moradi, Jon Rawski, Suji Yang, and Jeffrey Heinz

    Abstract Heinz and Idsardi (2013) draw attention to a profound computational difference between syntax and phonology: phonology only requires regular computations over strings (Johnson 1972 …

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  4. Abstract A lot of recent work in computational phonology seeks to pinpoint the complexity of phonotactic dependencies from a formal perspective. Numerous mathematical classes have been proposed, but Graf (2017) subsumes them all under the umbrella of interval-based strictly piecewise dependencies (IBSP). IBSP treats all …

    read more
  5. It’s a (Sub-)Regular Conspiracy: Locality and Computation in Phonology, Morphology, Syntax, and Semantics

    Graf, Thomas

    Abstract It is commonly believed that phonology, morphology, syntax, and semantics are distinct modules of language, governed by very different principles with little common ground. Nonetheless several approaches (e.g. Government Phonology, Distributed Morphology) subscribe to the idea that at least some of …

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  6. Computational Parallels Across Language Modules

    Graf, Thomas

    Abstract Linguists study a variety of aspects of language, including phonology, morphology, and syntax. It is commonly believed that those are distinct modules of language, governed by very different principles and consequently studied with very different tools. While there have been attempts at …

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  7. Commonality in Disparity: The Computational View of Syntax and Phonology

    Graf, Thomas, and Jeffrey Heinz

    Abstract Heinz and Idsardi (2013) draw attention to a computational difference between syntax and phonology established by earlier research: phonology only requires regular computations over strings (Johnson 1972, Kaplan and Kay 1995), whereas syntax involves non-regular computations over strings (Chomsky …

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  8. Beyond the Apparent: Cognitive Parallels Between Syntax and Phonology

    Graf, Thomas

    Abstract One of the central changes in 20th century linguistics was the reconceptualization of language as a cognitive ability rather than merely an abstract relational system of signs —- in the terminology of Chomsky (1986), the move from E-language to I-language. This shift entails …

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  9. Logics of Phonological Reasoning

    Graf, Thomas

    Abstract Inspired by Kracht (2003) and Potts and Pullum (2002), who use tools from mathematical logic in their investigation of phonological theories, I develop an extendable modal logic over string structures, which in turn is used to formalize a specific phonological theory, Government …

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  10. Comparing Incomparable Frameworks: A Model Theoretic Approach to Phonology

    Graf, Thomas

    Abstract In previous work, we used techniques from mathematical logic and model theory to study and compare two phonological theories, SPE and Government Phonology. The surprising result was that Government Phonology corresponds to a very weak fragment of SPE, yet it can attain …

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  11. Towards a Factorization of String-Based Phonology

    Graf, Thomas

    Abstract Inspired by the model-theoretic approach to phonology deployed by Kracht (2003) and Potts and Pullum (2002), I develop an extendible modal logic for the investigation of phonological theories operating on (richly annotated) string structures. In contrast to previous research in this vein …

    read more
  12. Towards a Factorization of String-Based Phonology

    Graf, Thomas

    Abstract Inspired by the model-theoretic approach to phonology deployed by Kracht (2003) and Potts and Pullum (2002), I develop an extendible modal logic for the investigation of phonological theories operating on (richly annotated) string structures. In contrast to previous research in this vein …

    read more
  13. Comparing Incomparable Frameworks —- a Model Theoretic Approach to Phonology

    Graf, Thomas

    Abstract In previous work, we used techniques from mathematical logic and model theory to study and compare two phonological theories, SPE and Government Phonology. The surprising result was that Government Phonology corresponds to a very weak fragment of SPE, yet it can attain …

    read more

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