Abstract Inspired by the model-theoretic approach to phonology deployed by Kracht (2003) and Potts and Pullum (2002), I develop an extendable modal logic for the investigation of phonological theories operating on (richly annotated) string structures. In contrast to previous research in this vein (Russel 1993, Kaplan and Kay 1994, Mohri and Sproat 1996), I ultimately strive to study the entire class of such theories rather than merely one particular incarnation thereof. To this end, I first provide a formalization of classic Government Phonology in a restricted variant of temporal logic, whose generative capacity is then subsequently increased by the addition of further operators, thereby pushing it up the subregular hierarchy until one reaches the level of the regular stringsets. I identify several other axes along which Government Phonology might be generalized, moving us towards a parametric metatheory of phonology.

:::bibtex @InCollection{Graf10FOLLI, author = {Graf, Thomas}, title = {Formal Parameters of Phonology: {From} {Government} {Phonology} to {SPE}}, year = {2010}, editor = {Icard, Thomas and Muskens, Reinhard}, booktitle = {Interfaces: {Explorations} in Logic, Language and Computation}, publisher = {Springer}, address = {Berlin}, pages = {72--86}, volume = {6211}, series = {Lectures Notes in Artifical Intelligence} }

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Sun 22 August 2010 | in Papers |
| phonology | generative capacity | subregular hierarchy | Sanskrit | Cairene Arabic | Creek | primary stress | modal logic | Government phonology | SPE |

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 Phonology. Building …
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Tue 28 July 2009 | in Papers |
| phonology | generative capacity | constraints | modal logic | Government Phonology | SPE | subregular hierarchy |

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 (Russell 1993 …
read more
Tue 28 July 2009 | in Presentations |
| phonology | generative capacity | constraints | modal logic | Government Phonology | SPE | subregular hierarchy |

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 (Russell 1993 …
read more

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