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Optimality theory

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not satisfy all constraints, as long as for any rival candidate that does better than the winner on some constraint, there is a higher-ranked constraint on which the winner does better than that rival. Within a language, a constraint may be ranked high enough that it is always obeyed; it may be ranked low enough that it has no observable effects; or, it may have some intermediate ranking. The term
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Some optimality theorists prefer the use of comparative tableaux, as described in Prince (2002b). Comparative tableaux display the same information as the classic or "flyspeck" tableaux, but the information is presented in such a way that it highlights the most crucial information. For instance, the
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marks the optimal candidate, and each cell displays an asterisk for each violation for a given candidate and constraint. Once a candidate does worse than another candidate on the highest ranking constraint distinguishing them, it incurs a fatal violation (marked in the tableau by an exclamation mark
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means that a candidate which violates only a high-ranked constraint does worse on the hierarchy than one that does not, even if the second candidate fared worse on every other lower-ranked constraint. This also means that constraints are violable; the winning (i.e. the most harmonic) candidate need
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In the original proposal, given two candidates, A and B, A is better, or more "harmonic", than B on a constraint if A incurs fewer violations than B. Candidate A is more harmonic than B on an entire constraint hierarchy if A incurs fewer violations of the highest-ranked constraint distinguishing A
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is used differently here than in physics, chemistry, and other sciences. Specific instantiations of OT may make falsifiable predictions, in the same way specific proposals within other linguistic frameworks can. What predictions are made, and whether they are testable, depends on the specifics of
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Optimality theory is also criticized as being an impossible model of speech production/perception: computing and comparing an infinite number of possible candidates would take an infinitely long time to process. Idsardi (2006) argues this position, though other linguists dispute this claim on the
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Other notational conventions include dotted lines separating columns of unranked or equally ranked constraints, a check mark ✔ in place of a finger in tentatively ranked tableaux (denoting harmonic but not conclusively optimal), and a circled asterisk ⊛ denoting a violation by a winner; in output
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The opacity of such phenomena finds no straightforward explanation in OT, since theoretical intermediate forms are not accessible (constraints refer only to the surface form and/or the underlying form). There have been a number of proposals designed to account for it, but most of the proposals
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Each row in a comparative tableau represents a winner–loser pair, rather than an individual candidate. In the cells where the constraints assess the winner–loser pairs, "W" is placed if the constraint in that column prefers the winner, "L" if the constraint prefers the loser, and "e" if the
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could generate the same range of input–output mappings, but differ in the relative ranking of two constraints which do not conflict with each other. Since there is no way to distinguish these two rankings they are said to belong to the same grammar. A grammar in OT is equivalent to an
2355:(see Idsardi 2000, for example). In derivational phonology, effects that are inexplicable at the surface level but are explainable through "opaque" rule ordering may be seen; but in OT, which has no intermediate levels for rules to operate on, these effects are difficult to explain. 1741:
tableau, there is a candidate which incurs no violations whatsoever. Within the constraint set of the problem, harmonically bounds all other possible candidates. This shows that a candidate does not need to be a winner in order to harmonically bound another candidate.
2133:, it can be observed that any ranking of these constraints will produce the observed output . Because there are no loser-preferring comparisons, wins under any ranking of these constraints; this means that no ranking can be established on the basis of this input. 934:), A beats B, or is more harmonic than B, if A has fewer violations than B on the highest ranking constraint which assigns them a different number of violations (A is "optimal" if A beats B and the candidate set comprises only A and B). If A and B tie on C 374:
is free to generate any number of output candidates, however much they deviate from the input. This is called "freedom of analysis". The grammar (ranking of constraints) of the language determines which of the candidates will be assessed as optimal by
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significantly alter OT's basic architecture and therefore tend to be highly controversial. Frequently, such alterations add new types of constraints (which are not universal faithfulness or markedness constraints), or change the properties of
2378:" (i.e. preventing) affrication, it says that affrication applies before vowel syncope, so that the high vowel is removed and the environment destroyed which had triggered affrication. Such counterbleeding rule orderings are therefore termed 184:
arise from the optimal satisfaction of conflicting constraints. OT differs from other approaches to phonological analysis, which typically use rules rather than constraints. However, phonological models of representation, such as
548:, but differ in that they evaluate only the output and not the relation between the input and output, which is rather characteristic of markedness constraints. This stems from the model adopted by Prince and Smolensky known as 1026:
denote segments elided in phonetic realization, and □ and □́ denote an epenthetic consonant and vowel, respectively. The "much greater than" sign ≫ (sometimes the nested ⪢) denotes the domination of a constraint over another
2485:. Other theories within OT are concerned with issues like the need for derivational levels within the phonological domain, the possible formulations of constraints, and constraint interactions other than strict domination. 410:
Each plays a crucial role in the theory. Markedness constraints motivate changes from the underlying form, and faithfulness constraints prevent every input from being realized as some completely unmarked form (such as ).
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Faithfulness constraints require that the observed surface form (the output) match the underlying or lexical form (the input) in some particular way; that is, these constraints require identity between input and output
1737:. The violations incurred by the candidate are a subset of the violations incurred by ; specifically, if you epenthesize a vowel, changing the voicing of the morpheme is a gratuitous violation of constraints. In the 1166:
L's. Brasoveanu and Prince (2005) describe a process known as fusion and the various ways of presenting data in a comparative tableau in order to achieve the necessary and sufficient conditions for a given argument.
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shows that several more rankings are necessary in order to predict the desired outcome. The third row says nothing; there is no loser-preferring comparison in the third row. The first row reveals that either *SS or
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Optimality theory supposes that there are no language-specific restrictions on the input. This is called "richness of the base". Every grammar can handle every possible input. For example, a language without
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describes situations in which a markedness constraint has an intermediate ranking, so that it is violated in some forms, but nonetheless has observable effects when higher-ranked constraints are irrelevant.
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Prince, Alan, and Smolensky, Paul (1993) "Optimality Theory: Constraint interaction in generative grammar." Technical Report CU-CS-696-93, Department of Computer Science, University of Colorado at Boulder.
2425:(see Kornai (2006) and Heinz, Kobele and Riggle (2009)). Another common rebuttal to this criticism of OT is that the framework is purely representational. In this view, OT is taken to be a model of 422:, then the set of possible human languages is determined by the constraints that exist. Optimality theory predicts that there cannot be more grammars than there are permutations of the ranking of 532:
proposed by Prince and Smolensky (1993), which stated "underlying segments must be parsed into syllable structure" and "syllable positions must be filled with underlying segments", respectively.
197:(SPE), are equally compatible with rule-based and constraint-based models. OT views grammars as systems that provide mappings from inputs to outputs; typically, the inputs are conceived of as 2331: 552:, which assumes the input segments unrealized by the output are not removed but rather "left unparsed" by a syllable. The model put forth by McCarthy and Prince (1995, 1999), known as 1279:
Output segments are dependent on having an input correspondent. One violation for each segment in the output that does not appear in the input. This constraint prevents insertion.
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and by shaded cells for the lower-ranked constraints). Once a candidate incurs a fatal violation, it cannot be optimal, even if it outperforms the other candidates on the rest of
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constraint does not differentiate between the pair. Presenting the data in this way makes it easier to make generalizations. For instance, in order to have a consistent ranking
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Precise definitions in literature vary. Some constraints are sometimes used as a "cover constraint", standing in for a set of constraints that are not fully known or important.
2322:. Neither of these are truthful, which is a failing of writing out rankings in a linear fashion like this. These sorts of problems are the reason why most linguists utilize a 2370:), but the loss of high vowels (visible at the surface level) has left the affrication with no apparent source. Derivational phonology can explain this by stating that vowel 2436:
Another objection to OT is that it is not technically a theory, in that it does not make falsifiable predictions. The source of this issue may be in terminology: the term
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grounds that Idsardi makes unreasonable assumptions about the constraint set and candidates, and that more moderate instantiations of OT do not present such significant
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Optimality theory has attracted substantial amounts of criticism, most of which is directed at its application to phonology (rather than syntax or other fields).
2156:; however, no ranking can be established between those constraints on the basis of this input. Based on this tableau, the following ranking has been established: 2441:
individual proposals (most commonly, this is a matter of the definitions of the constraints used in an analysis). Thus, OT as a framework is best described as a
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Maximizes all input segments in the output. One violation for each segment in the input that does not appear in the output. This constraint prevents deletion.
3472:(2002). Technical Report, Rutgers University Center for Cognitive Science and Computer Science Department, University of Colorado at Boulder (1993). 250:
Optimality theory assumes that these components are universal. Differences in grammars reflect different rankings of the universal constraint set,
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and B. A is "optimal" in its candidate set if it is better on the constraint hierarchy than all other candidates. However, this definition of
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is not copied. Under McCarthy and Prince's analysis, this is because faithfulness to the input does not apply to reduplicated material, and
1043:") while the "succeeds" operator ≻ denotes superior harmony in comparison of output candidates ("A ≻ B" = "A is more harmonic than B"). 60: 126: 1290:
Maintains the identity of the specification. One violation for each segment that differs in voicing between the input and output.
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In practice, implementations of OT often make use of many concepts of phonological theories of representations, such as the
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makes some immediate predictions about language typology. If grammars differ only by having different rankings of
53: 198: 2536: 2514: 2399: 579: 270: 2465:. Completely distinct from these, there are sub-theories which have been proposed entirely within OT, such as 75: 3518: 2547:. Constraints cover both the relations between sound and letter as well as preferences for spelling itself. 599: 186: 2430: 2414: 2410: 2367: 2363: 2208: 2179: 2137: 2130: 2106: 2084: 2062: 2040: 2010: 2003: 1979: 1957: 1935: 1913: 1883: 1876: 1852: 1830: 1808: 1786: 1756: 1749: 1738: 1714: 1692: 1671: 1649: 1627: 1594: 1587: 1567: 1545: 1524: 1503: 1482: 1449: 1442: 1422: 1400: 1379: 1357: 1337: 1304: 1297: 1199: 1189: 1179: 1088: 1076: 799:
N states that vowels must not be oral when preceding a tautosyllabic nasal and is thus context-sensitive.
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Pater, Joe. (2009). Weighted Constraints in Generative Linguistics. "Cognitive Science" 33, 999–1035.
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maps to output . Many versions of OT predict this to be impossible (see Moreton 2004, Prince 2007).
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Blutner, Reinhard; Bezuidenhout, Anne; Breheny, Richard; Glucksberg, Sam; Happé, Francesca (2003).
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No matter how the constraints are re-ordered, the allomorph will always lose to . This is called
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in a coda ("VOP" stands for "voiced obstruent prohibition"), and may be equivalently written as
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when writing out rankings linearly; neither is truly accurate. The first implies that *SS and
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When the rankings from the tableaux are combined, the following ranking summary can be given:
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Some markedness constraints are context-free and others are context-sensitive. For example, *V
349: 277:, the area to which OT was first applied, the theory is also applicable to other subfields of 3487: 572:, violated when a segment is inserted word- or morpheme-internally (from "output-contiguity") 356:. Languages without complex clusters differ on how they will resolve this problem; some will 3415: 3235: 3225: 3194: 3012: 2651: 2462: 892: 320: 194: 3494: 3345: 3309: 3047: 246:) chooses the optimal candidate based on the constraints, and this candidate is the output. 2323: 2253:, it is not necessary; the ranking given above is sufficient for the observed to emerge. 403: 3495:
Optimal Interleaving: Serial Phonology-Morphology Interaction in a Constraint-Based Model
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Ellison, T. Mark; Klein, Ewan (2001), "Review: The Best of All Possible Words (review of
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states that vowels must not be nasal in any position and is thus context-free, whereas *V
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Coda consonants cannot have place features that are not shared by an onset consonant.
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McCarthy and Prince (1995) propose three basic families of faithfulness constraints:
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can then be described as the process of adjusting the ranking of these constraints.
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in 1991 which was later developed in a book manuscript by the same authors in 1993.
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A diagram that represents the necessary rankings of constraints in this style is a
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The tableaux from above are repeated below using the comparative tableaux format.
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Two successive sibilants are prohibited. One violation for every pair of adjacent
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rather than a factorial, allowing a significantly larger number of possibilities.
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Optimality theory as applied to language was originally proposed by the linguists
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Each of the constraints' names may be suffixed with "-IO" or "-BR", standing for
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Also consider the following constraint set, in descending order of domination:
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A syllable must not have more than one segment in its onset, nucleus or coda.
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2, 1/2, January/February 1996, page 8 (a humorous introduction for novices)
2876:"Optimality theory and the generative complexity of constraint violability" 2689:, Archangeli, Diana & Langendoen, D. Terence, eds., Blackwell, 1997)", 1175:
As a simplified example, consider the manifestation of the English plural:
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is not ranked high enough to be always obeyed, as witnessed in roots like
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An early example proposed by McCarthy and Prince (1994) is the constraint
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Markedness constraints introduced by Prince and Smolensky (1993) include:
273:. Although much of the interest in OT has been associated with its use in 2454: 1064: 947: 588:, violated when two or more segments are realized as one (i.e. prohibits 394:
is the same in every language. There are two basic types of constraints:
181: 153: 3407:(Vol. 18, pp. 249–384). Amherst, Massachusetts: GLSA Publications. 2702: 863:. Local conjunctions are used as a way of circumventing the problem of 463: 361: 3513: 2535:, constraint-based analyses have also been proposed, among others, by 946:
than B does. This comparison is often illustrated with a tableau. The
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Heavy syllables must be stressed (from "weight-to-stress principle").
578:, violated when the order of some segments is changed (i.e. prohibits 482:(F) prohibits alteration to the value of feature F (from "identical"). 3387:. Rutgers University Center for Cognitive Science Technical Report 3. 2510: 282: 3321:
A Simple Proof that Optimality Theory is Computationally Intractable
3214:"A formal account of the interaction of orthography and perception" 2513:. Optimality theoretic approaches are also relatively prominent in 2191:, based on the comparison between and . The fourth row shows that 3440:
Prince, Alan (2007). The Pursuit of Theory. In Paul de Lacy, ed.,
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Two constraints may be conjoined as a single constraint, called a
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Hidden Generalizations: Phonological Opacity in Optimality Theory
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of the total number of constraints, thus giving rise to the term
3458:. In Coetzee, Andries, Angela Carpenter and Paul de Lacy (eds). 3393:
The Emergence of the Unmarked: Optimality in Prosodic Morphology
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Heinz, Jeffrey; Kobele, Gregory M.; Riggle, Jason (April 2009).
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Optimality theory is most commonly associated with the field of
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to represent necessary and sufficient rankings, as shown below.
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So far, the following rankings have been shown to be necessary:
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Constraints are ranked in a hierarchy of strict domination. The
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Optimality Theory: Constraint Interaction in Generative Grammar
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Optimality Theory: Constraint Interaction in Generative Grammar
2639:"OT grammars, beyond partial orders: ERC sets and antimatroids" 2604:
Optimality Theory: Constraint Interaction in Generative Grammar
2386:), because their effects are not visible at the surface level. 942:, A is optimal, even if A has however many more violations of C 3301:
Halle, Morris (1995). Feature Geometry and Feature Spreading.
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contains rows with a single W and a single L. This shows that
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OT grammars, beyond partial orders: ERC sets and antimatroids
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Markedness constraints impose requirements on the structural
180:) is a linguistic model proposing that the observed forms of 3405:
University of Massachusetts occasional papers in linguistics
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Prosodic Morphology: Constraint Interaction and Satisfaction
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Legendre, Géraldine, Jane Grimshaw and Sten Vikner. (2001).
2481:, and a number of theories of learnability, most notably by 3430:. Ms. from 1999, published 2004 in John J. McCarthy (ed.), 2831: 2829: 2497:, but has also been applied to other areas of linguistics. 3508: 3403:. In J. Beckman, L. W. Dickey, & S. Urbanczyk (Eds.), 2429:
and is therefore not intended to explain the specifics of
1075:(faithfulness to the input prevents deletion of the final 1063:, which prohibits syllables from ending in consonants. In 494:, respectively—the latter of which is used in analysis of 3497:. PhD dissertation, University of Massachusetts. ROA-996. 3284:
The Rise of Optimality Theory in First Century Palestine
2733: 2731: 2517:(and the morphology–phonology interface in particular). 823: 3308:
Heinz, Jeffrey, Greg Kobele, and Jason Riggle (2009).
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Wiese, Richard (2004). "How to optimize orthography".
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tableau above would be rendered in the following way.
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In optimality theory, every constraint is universal.
3080:. Section 10.1.1: Fear of Optimization, pp. 215–217. 315:
research. It arose in part as an alternative to the
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Optimality theory has its origin in a talk given by
152:. For an introductory guide on IPA symbols, see 3465:Prince, Alan and Paul Smolensky. (1993/2002/2004): 2720:
sfnp error: no target: CITEREFPrinceSmolensky1993 (
2509:have developed instantiations of the theory within 556:, has since replaced it as the standard framework. 360:(e.g. , or if all codas are banned) and some will 67:. Unsourced material may be challenged and removed. 2998: 2909:sfnp error: no target: CITEREFTesarSmolensky1998 ( 2637: 426:. The number of possible rankings is equal to the 3514:Optimality Theory and the Three Laws of Robotics 3376:Doing Optimality Theory: Applying Theory to Data 3330:Idsardi, William J. (2000). Clarifying opacity. 3106:, Chapter 4: "Connections of Optimality Theory". 3000:"Evaluating the Complexity of Optimality Theory" 2402:'s sympathy theory and candidate chains theory. 224:There are three basic components of the theory: 166:IPA § Brackets and transcription delimiters 2715: 2636:Merchant, Nazarré; Riggle, Jason (2016-02-01). 3310:Evaluating the Complexity of Optimality Theory 2904: 2405:A relevant issue is the existence of circular 3427:Non-computable Functions in Optimality Theory 3410:Merchant, Nazarre & Jason Riggle. (2016) 3399:McCarthy, John J. & Alan Prince. (1995). 3067:. Section 1.4.4: Fear of infinity, pp. 25–27. 2607:. Paul Smolensky. Malden, MA: Blackwell Pub. 2394:(such as allowing for serial derivations) or 2362:, high front vowels triggered affrication of 8: 3267:Brasoveanu, Adrian, and Alan Prince (2005). 3241:11245.1/bab74c16-4f58-4b1f-9507-cd51fbd6ae49 2928:sfnp error: no target: CITEREFMcCarthy2001 ( 2859:sfnp error: no target: CITEREFMcCarthy2008 ( 2799:sfnp error: no target: CITEREFMcCarthy2008 ( 2761:sfnp error: no target: CITEREFMcCarthy2008 ( 2742:sfnp error: no target: CITEREFMcCarthy2008 ( 292:Optimality theory is like other theories of 1252:. One violation for every pair of adjacent 352:must be able to deal with an input such as 3519:OT Syntax: an interview with Jane Grimshaw 3278:. Cambridge, Massachusetts: The MIT Press. 2199:. The second row shows that either *SS or 1248:Output segments agree in specification of 269:in 1991, and later expanded by Prince and 27:Linguistic model for phonological analysis 3239: 3229: 3076:Prince, Alan and Paul Smolensky. (2004): 2840:sfnp error: no target: CITEREFKager1999 ( 2818:sfnp error: no target: CITEREFKager1999 ( 2780:sfnp error: no target: CITEREFKager1999 ( 2586:sfnp error: no target: CITEREFKager1999 ( 2351:It is claimed that OT cannot account for 1256:in the output which disagree in voicing. 559:McCarthy and Prince (1995) also propose: 127:Learn how and when to remove this message 3490:. PhD dissertation, Universität Potsdam. 3475:Tesar, Bruce and Paul Smolensky (1998). 3364:. Cambridge: Cambridge University Press. 3341:. Cambridge: Cambridge University Press. 3218:Natural Language & Linguistic Theory 2923: 2854: 2794: 2756: 2737: 2644:Natural Language & Linguistic Theory 2001: 1874: 1747: 1585: 1440: 1295: 1212: 1113: 957: 687:than another (from "harmonic nucleus"). 621: 540:serve essentially the same functions as 3401:Faithfulness and reduplicative identity 3390:McCarthy, John and Alan Prince (1994): 3381:McCarthy, John and Alan Prince (1993): 3212:Hamann, Silke; Colombo, Ilaria (2017). 2556: 1087:'repeatedly be left behind', the final 3294:Hale, Mark, and Charles Reiss (2008). 3115:Legendre, Grimshaw & Vikner (2001) 2874:Frank, Robert; Satta, Giorgio (1998). 1103:(which has an additional violation of 764:Light syllables must not be stressed. 3509:Rutgers University Optimality Archive 3414:. Nat Lang Linguist Theory, 34: 241. 3362:A Thematic Guide to Optimality Theory 3104:A Thematic Guide to Optimality Theory 2835: 2813: 2775: 2581: 2302:There are two possible places to put 296:in its focus on the investigation of 7: 3146:. "Optimality theoretic semantics". 2219:; this means that *SS must dominate 898:For example, given the constraints C 506:(F) is substituted by the name of a 311:Optimality theory also has roots in 156:. For the distinction between , 65:adding citations to reliable sources 3091:The Cambridge Handbook of Phonology 25: 3477:Learnability in Optimality Theory 2449:Theories within optimality theory 2211:tableau, it was established that 2129:From the comparative tableau for 745:A foot must be two syllables (or 3462:. GLSA, UMass. Amherst. ROA-536. 3162:Optimality Theory and Pragmatics 2329: 810: 41: 3442:Cambridge Handbook of Phonology 1048:strictness of strict domination 1022:candidates, the angle brackets 938:, but A does better than B on C 683:A nuclear segment must be more 148:International Phonetic Alphabet 52:needs additional citations for 3469:. Blackwell Publishers (2004) 3460:Papers in Optimality Theory II 3432:Optimality Theory in Phonology 3281:Dresher, Bezalel Elan (1996): 2687:Optimality Theory: An Overview 2467:positional faithfulness theory 2314:, and the second implies that 653:Syllables must have no codas. 1: 3187:Written Language and Literacy 2716:Prince & Smolensky (1993) 1053:the emergence of the unmarked 3319:Idsardi, William J. (2006). 2905:Tesar & Smolensky (1998) 2473:(McCarthy and Prince 1995), 2398:. Examples of these include 855:is violated once per voiced 668:Syllables must have onsets. 641:Syllables must have nuclei. 3355:Optimality-theoretic Syntax 3296:The Phonological Enterprise 2413:maps to output , but input 867:that arises when analyzing 3570: 3449:Entailed Ranking Arguments 3298:. Oxford University Press. 3148:Linguistics and philosophy 3089:de Lacy (editor). (2007). 3017:10.1162/ling.2009.40.2.277 2245:While it is possible that 878:: definition of optimality 726:A word-final syllable (or 199:underlying representations 29: 3486:Trommer, Jochen. (2001). 3424:Moreton, Elliott (2004): 3420:10.1007/s11049-015-9297-5 3231:10.1007/s11049-017-9362-3 2880:Computational Linguistics 2656:10.1007/s11049-015-9297-5 2409:, i.e. cases where input 1593: 1448: 1303: 1260: 1226: 963: 2489:Use outside of phonology 730:) must not bear stress. 451:Faithfulness constraints 414:The universal nature of 176:(frequently abbreviated 3493:Wolf, Matthew. (2008). 3374:McCarthy, John (2008). 3367:McCarthy, John (2007). 3360:McCarthy, John (2001). 3344:Kornai, Andras (2006). 3269:Ranking & Necessity 3102:McCarthy, John (2001). 3046:Kornai, András (2006). 2960:Hale & Reiss (2008) 1095:is thus free to prefer 323:, developed in 1990 by 187:autosegmental phonology 144:phonetic transcriptions 3488:Distributed Optimality 3454:Prince, Alan (2002b). 3447:Prince, Alan (2002a). 3396:. Proceedings of NELS. 3276:The Minimalist Program 2907:, pp. 230–1, 239. 2691:Journal of Linguistics 2431:linguistic performance 2423:computational problems 1024:⟨ ⟩ 615:Markedness constraints 235:Constraint component ( 141:This article contains 3549:Phonological theories 3332:The Linguistic Review 3199:10.1075/wll.7.2.08wie 3142:Hendriks, Petra, and 2601:Prince, Alan (2004). 2471:correspondence theory 2427:linguistic competence 803:Alignment constraints 554:correspondence theory 3337:Kager, René (1999). 3063:Kager, René (1999). 2353:phonological opacity 1115:Comparative tableau 865:phonological opacity 386:: the constraint set 306:language acquisition 298:universal principles 256:language acquisition 61:improve this article 30:For other uses, see 2838:, pp. 392–400. 2443:scientific paradigm 2006: 1879: 1752: 1590: 1445: 1300: 1116: 960: 918:, which dominates C 508:distinctive feature 476:(from "dependent"). 445:ordered Bell number 343:: the candidate set 302:linguistic typology 76:"Optimality theory" 3481:Linguistic Inquiry 3456:Arguing Optimality 3371:. London: Equinox. 3325:Linguistic Inquiry 3314:Linguistic Inquiry 3303:Linguistic Inquiry 3289:GLOT International 3150:24.1 (2001): 1-32. 3005:Linguistic Inquiry 2857:, pp. 214–20. 2778:, pp. 99–100. 2503:Geraldine Legendre 2152:must all dominate 2002: 1875: 1748: 1586: 1441: 1296: 1114: 1099:over hypothetical 958: 843:Local conjunctions 822:. You can help by 550:containment theory 432:factorial typology 325:Géraldine Legendre 294:generative grammar 203:generative grammar 191:prosodic phonology 3534:Optimality Theory 3339:Optimality Theory 3171:978-1-349-50764-1 3065:Optimality Theory 2816:, pp. 29–30. 2614:978-0-470-75940-0 2520:In the domain of 2127: 2126: 2000: 1999: 1873: 1872: 1735:harmonic bounding 1731: 1730: 1584: 1583: 1439: 1438: 1294: 1293: 1155: 1154: 1019: 1018: 887:is able to model 849:local conjunction 840: 839: 786: 785: 466:(from "maximal"). 174:Optimality theory 137: 136: 129: 111: 18:Optimality Theory 16:(Redirected from 3561: 3274:Chomsky (1995). 3254: 3253: 3243: 3233: 3209: 3203: 3202: 3182: 3176: 3175: 3157: 3151: 3140: 3134: 3131: 3125: 3122: 3116: 3113: 3107: 3100: 3094: 3087: 3081: 3074: 3068: 3061: 3055: 3054: 3052: 3048:"Is OT NP-hard?" 3043: 3037: 3036: 3002: 2994: 2988: 2985: 2979: 2976: 2970: 2967: 2961: 2958: 2952: 2949: 2943: 2940: 2934: 2933: 2921: 2915: 2914: 2902: 2896: 2895: 2893: 2891: 2871: 2865: 2864: 2852: 2846: 2845: 2833: 2824: 2823: 2811: 2805: 2804: 2792: 2786: 2785: 2773: 2767: 2766: 2754: 2748: 2747: 2735: 2726: 2725: 2713: 2707: 2705: 2682: 2676: 2675: 2641: 2633: 2627: 2626: 2598: 2592: 2591: 2579: 2573: 2570: 2564: 2561: 2463:feature geometry 2416: 2412: 2400:John J. McCarthy 2397: 2393: 2369: 2365: 2358:For example, in 2333: 2321: 2317: 2313: 2309: 2305: 2298: 2294: 2290: 2286: 2275: 2271: 2267: 2263: 2252: 2248: 2241: 2237: 2233: 2222: 2218: 2214: 2210: 2206: 2202: 2198: 2194: 2190: 2186: 2181: 2178:The tableau for 2174: 2170: 2166: 2162: 2155: 2151: 2147: 2143: 2139: 2136:The tableau for 2132: 2108: 2086: 2064: 2042: 2035: 2030: 2025: 2020: 2012: 2007: 2005: 1981: 1959: 1937: 1915: 1908: 1903: 1898: 1893: 1885: 1880: 1878: 1854: 1832: 1810: 1788: 1781: 1776: 1771: 1766: 1758: 1753: 1751: 1740: 1716: 1694: 1673: 1651: 1629: 1619: 1614: 1609: 1604: 1596: 1591: 1589: 1569: 1547: 1526: 1505: 1484: 1474: 1469: 1464: 1459: 1451: 1446: 1444: 1424: 1402: 1381: 1359: 1339: 1329: 1324: 1319: 1314: 1306: 1301: 1299: 1286: 1276: 1266: 1250:[±voice] 1244: 1213: 1201: 1191: 1181: 1162:W must dominate 1136: 1130: 1124: 1117: 1106: 1101:ma-taynan-taynan 1094: 1090: 1078: 1070: 1062: 1025: 981: 975: 969: 961: 954: 886: 877: 862: 835: 832: 814: 807: 782: 781:Weight-to-Stress 769: 761: 754: 742: 735: 723: 716: 708: 696: 680: 673: 665: 658: 650: 638: 622: 609: 597: 587: 577: 571: 565: 547: 543: 539: 535: 531: 527: 523: 519: 513: 505: 492:base/reduplicant 481: 471: 461: 437: 425: 421: 417: 393: 385: 378: 373: 367: 355: 350:complex clusters 342: 321:harmonic grammar 271:John J. McCarthy 253: 245: 238: 231: 195:linear phonology 163: 159: 132: 125: 121: 118: 112: 110: 69: 45: 37: 21: 3569: 3568: 3564: 3563: 3562: 3560: 3559: 3558: 3524: 3523: 3505: 3500: 3483:29(2): 229–268. 3263: 3258: 3257: 3211: 3210: 3206: 3184: 3183: 3179: 3172: 3159: 3158: 3154: 3141: 3137: 3132: 3128: 3123: 3119: 3114: 3110: 3101: 3097: 3088: 3084: 3075: 3071: 3062: 3058: 3050: 3045: 3044: 3040: 2996: 2995: 2991: 2986: 2982: 2977: 2973: 2968: 2964: 2959: 2955: 2950: 2946: 2941: 2937: 2927: 2924:McCarthy (2001) 2922: 2918: 2908: 2903: 2899: 2889: 2887: 2873: 2872: 2868: 2858: 2855:McCarthy (2008) 2853: 2849: 2839: 2834: 2827: 2817: 2812: 2808: 2798: 2795:McCarthy (2008) 2793: 2789: 2779: 2774: 2770: 2760: 2757:McCarthy (2008) 2755: 2751: 2741: 2738:McCarthy (2008) 2736: 2729: 2719: 2714: 2710: 2684: 2683: 2679: 2635: 2634: 2630: 2615: 2600: 2599: 2595: 2585: 2580: 2576: 2571: 2567: 2562: 2558: 2553: 2491: 2475:sympathy theory 2451: 2395: 2391: 2382:(as opposed to 2346: 2319: 2315: 2311: 2307: 2303: 2296: 2292: 2288: 2284: 2273: 2269: 2265: 2261: 2250: 2246: 2239: 2235: 2231: 2220: 2216: 2212: 2204: 2200: 2196: 2192: 2188: 2184: 2172: 2168: 2164: 2160: 2153: 2149: 2145: 2141: 2033: 2028: 2023: 2018: 1906: 1901: 1896: 1891: 1779: 1774: 1769: 1764: 1668:c.  ☞ 1617: 1612: 1607: 1602: 1500:b.  ☞ 1472: 1467: 1462: 1457: 1334:a.  ☞ 1327: 1322: 1317: 1312: 1284: 1274: 1264: 1242: 1237:in the output. 1173: 1134: 1128: 1122: 1104: 1097:ma-tayna-taynan 1092: 1085:ma-tayna-taynan 1079:). But, in the 1068: 1060: 1042: 1038: 1034: 1030: 1023: 987:a.  ☞ 979: 973: 967: 952: 948:pointing finger 945: 941: 937: 933: 929: 925: 921: 917: 913: 909: 905: 901: 884: 880: 875: 860: 854: 845: 836: 830: 827: 820:needs expansion 805: 798: 794: 780: 767: 759: 752: 740: 733: 721: 714: 706: 694: 678: 671: 663: 656: 648: 636: 617: 607: 595: 585: 575: 569: 563: 545: 541: 537: 533: 529: 525: 521: 517: 511: 503: 479: 469: 459: 453: 435: 423: 419: 415: 404:well-formedness 391: 388: 383: 376: 371: 345: 340: 251: 243: 236: 229: 222: 171: 170: 169: 133: 122: 116: 113: 70: 68: 58: 46: 35: 28: 23: 22: 15: 12: 11: 5: 3567: 3565: 3557: 3556: 3551: 3546: 3541: 3536: 3526: 3525: 3522: 3521: 3516: 3511: 3504: 3503:External links 3501: 3499: 3498: 3491: 3484: 3473: 3463: 3452: 3445: 3438: 3435: 3422: 3408: 3397: 3388: 3379: 3372: 3365: 3358: 3351: 3347:Is OT NP-hard? 3342: 3335: 3328: 3317: 3306: 3299: 3292: 3279: 3272: 3264: 3262: 3259: 3256: 3255: 3224:(3): 683–714. 3204: 3193:(2): 305–331. 3177: 3170: 3152: 3135: 3126: 3124:Trommer (2001) 3117: 3108: 3095: 3082: 3069: 3056: 3038: 3011:(2): 277–288. 2989: 2987:Idsardi (2006) 2980: 2978:Idsardi (2000) 2971: 2962: 2953: 2951:Dresher (1996) 2944: 2942:Chomsky (1995) 2935: 2926:, p. 247. 2916: 2897: 2866: 2847: 2825: 2806: 2797:, p. 224. 2787: 2768: 2759:, p. 209. 2749: 2727: 2708: 2697:(1): 127–143, 2677: 2650:(1): 241–269. 2628: 2613: 2593: 2574: 2565: 2555: 2554: 2552: 2549: 2545:Ilaria Colombo 2490: 2487: 2450: 2447: 2345: 2342: 2318:must dominate 2310:must dominate 2300: 2299: 2281: 2280: 2279: 2243: 2242: 2203:must dominate 2195:must dominate 2187:must dominate 2176: 2175: 2125: 2124: 2121: 2118: 2115: 2112: 2109: 2103: 2102: 2099: 2096: 2093: 2090: 2087: 2081: 2080: 2077: 2074: 2071: 2068: 2065: 2059: 2058: 2055: 2052: 2049: 2046: 2043: 2037: 2036: 2031: 2026: 2021: 2016: 2013: 1998: 1997: 1994: 1991: 1988: 1985: 1982: 1976: 1975: 1972: 1969: 1966: 1963: 1960: 1954: 1953: 1950: 1947: 1944: 1941: 1938: 1932: 1931: 1928: 1925: 1922: 1919: 1916: 1910: 1909: 1904: 1899: 1894: 1889: 1886: 1871: 1870: 1867: 1864: 1861: 1858: 1855: 1849: 1848: 1845: 1842: 1839: 1836: 1833: 1827: 1826: 1823: 1820: 1817: 1814: 1811: 1805: 1804: 1801: 1798: 1795: 1792: 1789: 1783: 1782: 1777: 1772: 1767: 1762: 1759: 1729: 1728: 1726: 1724: 1721: 1719: 1717: 1712: 1708: 1707: 1704: 1701: 1699: 1697: 1695: 1690: 1686: 1685: 1683: 1680: 1678: 1676: 1674: 1669: 1665: 1664: 1661: 1659: 1657: 1655: 1652: 1647: 1643: 1642: 1640: 1638: 1636: 1633: 1630: 1625: 1621: 1620: 1615: 1610: 1605: 1600: 1597: 1582: 1581: 1579: 1577: 1574: 1572: 1570: 1565: 1561: 1560: 1557: 1554: 1552: 1550: 1548: 1543: 1539: 1538: 1536: 1533: 1531: 1529: 1527: 1522: 1518: 1517: 1514: 1512: 1510: 1508: 1506: 1501: 1497: 1496: 1494: 1492: 1490: 1487: 1485: 1480: 1476: 1475: 1470: 1465: 1460: 1455: 1452: 1437: 1436: 1434: 1432: 1429: 1427: 1425: 1420: 1416: 1415: 1412: 1409: 1407: 1405: 1403: 1398: 1394: 1393: 1391: 1388: 1386: 1384: 1382: 1377: 1373: 1372: 1369: 1367: 1365: 1362: 1360: 1355: 1351: 1350: 1348: 1346: 1344: 1342: 1340: 1335: 1331: 1330: 1325: 1320: 1315: 1310: 1307: 1292: 1291: 1288: 1281: 1280: 1277: 1271: 1270: 1267: 1262: 1258: 1257: 1246: 1239: 1238: 1231: 1228: 1224: 1223: 1220: 1217: 1208: 1207: 1197: 1187: 1172: 1169: 1153: 1152: 1149: 1146: 1143: 1139: 1138: 1132: 1126: 1120: 1040: 1036: 1032: 1028: 1017: 1016: 1014: 1011: 1008: 1005: 1001: 1000: 997: 994: 991: 988: 984: 983: 977: 971: 965: 943: 939: 935: 931: 927: 923: 919: 915: 911: 907: 903: 899: 879: 873: 852: 844: 841: 838: 837: 817: 815: 804: 801: 796: 792: 784: 783: 778: 775: 771: 770: 768:PeakProminence 765: 762: 756: 755: 750: 743: 737: 736: 731: 724: 718: 717: 712: 709: 703: 702: 700: 697: 691: 690: 688: 681: 675: 674: 669: 666: 660: 659: 654: 651: 645: 644: 642: 639: 633: 632: 629: 626: 616: 613: 612: 611: 604:vowel breaking 593: 583: 573: 567: 484: 483: 477: 467: 452: 449: 408: 407: 406:of the output. 400: 387: 381: 344: 337: 333:Paul Smolensky 329:Yoshiro Miyata 313:neural network 267:Paul Smolensky 248: 247: 240: 233: 221: 218: 214:Paul Smolensky 164:⟩, see 140: 139: 138: 135: 134: 49: 47: 40: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3566: 3555: 3552: 3550: 3547: 3545: 3542: 3540: 3537: 3535: 3532: 3531: 3529: 3520: 3517: 3515: 3512: 3510: 3507: 3506: 3502: 3496: 3492: 3489: 3485: 3482: 3478: 3474: 3471: 3468: 3464: 3461: 3457: 3453: 3450: 3446: 3443: 3439: 3436: 3433: 3429: 3428: 3423: 3421: 3417: 3413: 3409: 3406: 3402: 3398: 3395: 3394: 3389: 3386: 3385: 3380: 3377: 3373: 3370: 3366: 3363: 3359: 3356: 3352: 3349: 3348: 3343: 3340: 3336: 3333: 3329: 3326: 3322: 3318: 3315: 3311: 3307: 3304: 3300: 3297: 3293: 3290: 3286: 3285: 3280: 3277: 3273: 3270: 3266: 3265: 3260: 3251: 3247: 3242: 3237: 3232: 3227: 3223: 3219: 3215: 3208: 3205: 3200: 3196: 3192: 3188: 3181: 3178: 3173: 3167: 3163: 3156: 3153: 3149: 3145: 3144:Helen De Hoop 3139: 3136: 3130: 3127: 3121: 3118: 3112: 3109: 3105: 3099: 3096: 3092: 3086: 3083: 3079: 3073: 3070: 3066: 3060: 3057: 3049: 3042: 3039: 3034: 3030: 3026: 3022: 3018: 3014: 3010: 3006: 3001: 2993: 2990: 2984: 2981: 2975: 2972: 2966: 2963: 2957: 2954: 2948: 2945: 2939: 2936: 2931: 2925: 2920: 2917: 2912: 2906: 2901: 2898: 2885: 2881: 2877: 2870: 2867: 2862: 2856: 2851: 2848: 2843: 2837: 2832: 2830: 2826: 2821: 2815: 2810: 2807: 2802: 2796: 2791: 2788: 2783: 2777: 2772: 2769: 2764: 2758: 2753: 2750: 2745: 2740:, p. 27. 2739: 2734: 2732: 2728: 2723: 2718:, p. 94. 2717: 2712: 2709: 2704: 2700: 2696: 2692: 2688: 2681: 2678: 2673: 2669: 2665: 2661: 2657: 2653: 2649: 2645: 2640: 2632: 2629: 2624: 2620: 2616: 2610: 2606: 2605: 2597: 2594: 2589: 2584:, p. 20. 2583: 2578: 2575: 2569: 2566: 2560: 2557: 2550: 2548: 2546: 2542: 2538: 2537:Richard Wiese 2534: 2529: 2527: 2523: 2518: 2516: 2512: 2508: 2504: 2500: 2499:Jane Grimshaw 2496: 2488: 2486: 2484: 2480: 2476: 2472: 2468: 2464: 2460: 2456: 2448: 2446: 2444: 2439: 2434: 2432: 2428: 2424: 2418: 2408: 2403: 2401: 2387: 2385: 2381: 2377: 2373: 2361: 2360:Quebec French 2356: 2354: 2349: 2343: 2341: 2339: 2338:Hasse diagram 2334: 2332: 2327: 2325: 2324:lattice graph 2282: 2277: 2276: 2259: 2258: 2257: 2254: 2249:can dominate 2229: 2228: 2227: 2224: 2159: 2158: 2157: 2134: 2122: 2119: 2116: 2113: 2110: 2105: 2104: 2100: 2097: 2094: 2091: 2088: 2083: 2082: 2078: 2075: 2072: 2069: 2066: 2061: 2060: 2056: 2053: 2050: 2047: 2044: 2039: 2038: 2032: 2027: 2022: 2017: 2014: 2009: 2008: 1995: 1992: 1989: 1986: 1983: 1978: 1977: 1973: 1970: 1967: 1964: 1961: 1956: 1955: 1951: 1948: 1945: 1942: 1939: 1934: 1933: 1929: 1926: 1923: 1920: 1917: 1912: 1911: 1905: 1900: 1895: 1890: 1887: 1882: 1881: 1868: 1865: 1862: 1859: 1856: 1851: 1850: 1846: 1843: 1840: 1837: 1834: 1829: 1828: 1824: 1821: 1818: 1815: 1812: 1807: 1806: 1802: 1799: 1796: 1793: 1790: 1785: 1784: 1778: 1773: 1768: 1763: 1760: 1755: 1754: 1746: 1743: 1736: 1727: 1725: 1722: 1720: 1718: 1713: 1710: 1709: 1705: 1702: 1700: 1698: 1696: 1691: 1688: 1687: 1684: 1681: 1679: 1677: 1675: 1670: 1667: 1666: 1662: 1660: 1658: 1656: 1653: 1648: 1645: 1644: 1641: 1639: 1637: 1634: 1631: 1626: 1623: 1622: 1616: 1611: 1606: 1601: 1598: 1592: 1580: 1578: 1575: 1573: 1571: 1566: 1563: 1562: 1558: 1555: 1553: 1551: 1549: 1544: 1541: 1540: 1537: 1534: 1532: 1530: 1528: 1523: 1520: 1519: 1515: 1513: 1511: 1509: 1507: 1502: 1499: 1498: 1495: 1493: 1491: 1488: 1486: 1481: 1478: 1477: 1471: 1466: 1461: 1456: 1453: 1447: 1435: 1433: 1430: 1428: 1426: 1421: 1418: 1417: 1413: 1410: 1408: 1406: 1404: 1399: 1396: 1395: 1392: 1389: 1387: 1385: 1383: 1378: 1375: 1374: 1370: 1368: 1366: 1363: 1361: 1356: 1353: 1352: 1349: 1347: 1345: 1343: 1341: 1336: 1333: 1332: 1326: 1321: 1316: 1311: 1308: 1302: 1289: 1283: 1282: 1278: 1273: 1272: 1268: 1263: 1259: 1255: 1251: 1247: 1241: 1240: 1236: 1232: 1229: 1225: 1221: 1218: 1215: 1214: 1211: 1205: 1198: 1195: 1188: 1185: 1178: 1177: 1176: 1170: 1168: 1165: 1161: 1150: 1147: 1144: 1141: 1140: 1133: 1127: 1121: 1119: 1118: 1112: 1108: 1102: 1098: 1086: 1082: 1074: 1066: 1057: 1054: 1049: 1044: 1015: 1012: 1009: 1006: 1003: 1002: 998: 995: 992: 989: 986: 985: 978: 972: 966: 962: 956: 949: 896: 894: 890: 874: 872: 870: 866: 858: 850: 842: 834: 825: 821: 818:This section 816: 813: 809: 808: 802: 800: 789: 779: 776: 773: 772: 766: 763: 758: 757: 751: 748: 744: 739: 738: 732: 729: 725: 720: 719: 715:CodaCondition 713: 710: 705: 704: 701: 698: 693: 692: 689: 686: 682: 677: 676: 670: 667: 662: 661: 655: 652: 647: 646: 643: 640: 635: 634: 630: 627: 624: 623: 620: 614: 606:—opposite of 605: 601: 594: 591: 584: 581: 574: 568: 562: 561: 560: 557: 555: 551: 515: 509: 501: 498:—if desired. 497: 496:reduplication 493: 489: 478: 475: 468: 465: 458: 457: 456: 450: 448: 446: 442: 433: 429: 412: 405: 401: 397: 396: 395: 382: 380: 369: 363: 359: 351: 338: 336: 334: 330: 326: 322: 318: 317:connectionist 314: 309: 307: 303: 299: 295: 290: 288: 284: 280: 276: 272: 268: 264: 259: 257: 241: 234: 227: 226: 225: 219: 217: 215: 211: 206: 204: 200: 196: 192: 188: 183: 179: 175: 167: 155: 151: 149: 145: 131: 128: 120: 109: 106: 102: 99: 95: 92: 88: 85: 81: 78: –  77: 73: 72:Find sources: 66: 62: 56: 55: 50:This article 48: 44: 39: 38: 33: 19: 3544:Phonotactics 3480: 3466: 3459: 3441: 3431: 3426: 3404: 3392: 3383: 3378:. Blackwell. 3375: 3368: 3361: 3357:. MIT Press. 3354: 3346: 3338: 3331: 3324: 3316:40, 277–288. 3313: 3302: 3295: 3288: 3283: 3275: 3221: 3217: 3207: 3190: 3186: 3180: 3164:. Springer. 3161: 3155: 3147: 3138: 3129: 3120: 3111: 3103: 3098: 3090: 3085: 3077: 3072: 3064: 3059: 3041: 3008: 3004: 2992: 2983: 2974: 2969:Halle (1995) 2965: 2956: 2947: 2938: 2919: 2900: 2888:. Retrieved 2886:(2): 307–315 2883: 2879: 2869: 2850: 2836:Kager (1999) 2814:Kager (1999) 2809: 2790: 2776:Kager (1999) 2771: 2752: 2711: 2694: 2690: 2686: 2680: 2647: 2643: 2631: 2603: 2596: 2582:Kager (1999) 2577: 2568: 2559: 2541:Silke Hamann 2530: 2519: 2507:Joan Bresnan 2492: 2452: 2437: 2435: 2419: 2407:chain shifts 2404: 2388: 2383: 2379: 2357: 2350: 2347: 2335: 2328: 2301: 2255: 2244: 2225: 2177: 2135: 2128: 1744: 1734: 1732: 1261:Faithfulness 1222:Description 1209: 1203: 1193: 1183: 1174: 1163: 1159: 1156: 1109: 1100: 1096: 1084: 1081:reduplicated 1072: 1058: 1052: 1047: 1045: 1020: 1007:Candidate B 990:Candidate A 897: 891:that exceed 881: 869:chain shifts 848: 846: 828: 824:adding to it 819: 790: 787: 753:FootBinarity 631:Other names 618: 558: 553: 549: 516: 499: 491: 488:input/output 487: 485: 454: 431: 413: 409: 389: 370: 346: 310: 291: 260: 249: 223: 207: 177: 173: 172: 160:and ⟨ 142: 123: 114: 104: 97: 90: 83: 71: 59:Please help 54:verification 51: 3554:Linguistics 3327:37:271-275. 3133:Wolf (2008) 2890:5 September 2533:orthography 2483:Bruce Tesar 2384:transparent 2207:. From the 2085:dɪʃɪz~dɪʃɪs 1039:dominates C 914:dominates C 861:*VoicedCoda 722:NonFinality 649:−Coda 441:antimatroid 358:epenthesize 279:linguistics 263:Alan Prince 242:Evaluator ( 228:Generator ( 210:Alan Prince 3528:Categories 3451:. ROA-500. 3350:. ROA-838. 3334:17:337-50. 3271:. ROA-794. 3261:References 2526:pragmatics 2515:morphology 2479:stratal OT 2215:dominates 2063:dɪʃɪz~dɪʃs 2041:dɪʃɪz~dɪʃz 2004:/dɪʃ/+/z/→ 1958:kæts~kætɪs 1936:kæts~kætɪz 1877:/kæt/+/z/→ 1831:dɒɡz~dɒɡɪs 1809:dɒɡz~dɒɡɪz 1750:/dɒɡ/+/z/→ 1588:/dɪʃ/+/z/→ 1443:/kæt/+/z/→ 1298:/dɒɡ/+/z/→ 1254:obstruents 1227:Markedness 1200:/dɪʃ/+/z/→ 1190:/kæt/+/z/→ 1180:/dɒɡ/+/z/→ 1135:Constraint 1129:Constraint 1123:Constraint 980:Constraint 974:Constraint 968:Constraint 893:regularity 628:Statement 608:Uniformity 586:Uniformity 580:metathesis 474:epenthesis 472:prohibits 462:prohibits 339:Input and 319:theory of 254:. Part of 87:newspapers 32:Optimality 3539:Phonology 3305:26, 1-46. 3250:254872721 3025:0024-3892 2672:254861452 2664:1573-0859 2623:214281882 2522:semantics 2495:phonology 2344:Criticism 2209:/kæt/+/z/ 2180:/dɪʃ/+/z/ 2138:/kæt/+/z/ 2131:/dɒɡ/+/z/ 2107:dɪʃɪz~dɪʃ 2011:/dɪʃ/+/z/ 1914:kæts~kætz 1884:/kæt/+/z/ 1787:dɒɡz~dɒɡs 1757:/dɒɡ/+/z/ 1739:/dɒɡ/+/z/ 1595:/dɪʃ/+/z/ 1450:/kæt/+/z/ 1305:/dɒɡ/+/z/ 1235:sibilants 910:, where C 889:relations 857:obstruent 831:June 2018 600:unpacking 596:Integrity 576:Linearity 514:(voice). 428:factorial 287:semantics 275:phonology 117:June 2018 3033:14131378 2455:syllable 2376:bleeding 2368:/tipik/→ 2366:, (e.g. 1980:kæts~kæt 1853:dɒɡz~dɒɡ 1065:Balangao 959:Tableau 707:CodaCond 695:*Complex 685:sonorous 570:O-Contig 564:I-Contig 524:replace 512:Ident-IO 510:, as in 464:deletion 220:Overview 182:language 158:/ / 154:Help:IPA 3093:, p. 1. 2703:4176645 2372:syncope 1287:(Voice) 1245:(Voice) 1171:Example 906:, and C 853:segment 760:Pk-Prom 354:/flask/ 146:in the 101:scholar 3248:  3168:  3031:  3023:  2701:  2670:  2662:  2621:  2611:  2511:syntax 2457:, the 2438:theory 2380:opaque 2148:, and 1204:dishes 1142:A ~ B 1105:NoCoda 1093:NoCoda 1073:taynan 1069:NoCoda 1061:NoCoda 1035:" = "C 734:NonFin 657:NoCoda 590:fusion 399:forms. 364:(e.g. 362:delete 283:syntax 281:(e.g. 193:, and 162:  103:  96:  89:  82:  74:  3246:S2CID 3051:(PDF) 3029:S2CID 2699:JSTOR 2668:S2CID 2551:Notes 2461:, or 2316:Agree 2312:Agree 2304:Agree 2297:Ident 2289:Agree 2283:*SS, 2274:Ident 2266:Agree 2260:*SS, 2247:Agree 2240:Ident 2230:*SS, 2217:Ident 2201:Ident 2185:Agree 2173:Ident 2161:Agree 2154:Ident 2142:Agree 2034:Ident 2019:Agree 1907:Ident 1892:Agree 1780:Ident 1765:Agree 1693:dɪʃɪs 1672:dɪʃɪz 1618:Ident 1603:Agree 1546:kætɪs 1525:kætɪz 1473:Ident 1458:Agree 1401:dɒɡɪs 1380:dɒɡɪz 1328:Ident 1313:Agree 1285:Ident 1243:Agree 1083:form 964:Input 793:nasal 747:moras 741:FtBin 672:Onset 625:Name 534:Parse 526:Parse 504:Ident 480:Ident 150:(IPA) 108:JSTOR 94:books 3166:ISBN 3021:ISSN 2930:help 2911:help 2892:2021 2861:help 2842:help 2820:help 2801:help 2782:help 2763:help 2744:help 2722:help 2660:ISSN 2619:OCLC 2609:ISBN 2588:help 2539:and 2531:For 2505:and 2459:mora 2396:Eval 1650:dɪʃs 1628:dɪʃz 1504:kæts 1483:kætz 1358:dɒɡs 1338:dɒɡz 1219:Name 1216:Type 1194:cats 1184:dogs 1160:some 999:*** 885:Eval 876:Eval 797:oral 774:WSP 728:foot 679:HNuc 544:and 538:Fill 536:and 530:Fill 528:and 520:and 490:and 377:Eval 331:and 304:and 285:and 265:and 244:Eval 212:and 80:news 3416:doi 3236:hdl 3226:doi 3195:doi 3013:doi 2652:doi 2415:/Y/ 2411:/X/ 2392:Gen 2364:/t/ 2320:Dep 2308:Max 2293:Dep 2285:Max 2270:Dep 2262:Max 2251:Dep 2236:Dep 2232:Max 2221:Dep 2213:Dep 2205:Dep 2197:Dep 2193:Max 2189:Dep 2169:Dep 2165:Max 2150:Dep 2146:Max 2029:Dep 2024:Max 2015:*SS 1902:Dep 1897:Max 1888:*SS 1775:Dep 1770:Max 1761:*SS 1715:dɪʃ 1706:*! 1613:Dep 1608:Max 1599:*SS 1568:kæt 1468:Dep 1463:Max 1454:*SS 1423:dɒɡ 1323:Dep 1318:Max 1309:*SS 1275:Dep 1265:Max 1230:*SS 1164:all 1107:). 1089:/n/ 1077:/n/ 1031:≫ C 1027:("C 1013:**! 953:Con 930:≫ C 926:≫ C 902:, C 826:. 749:). 664:Ons 637:Nuc 602:or 546:Dep 542:Max 522:Dep 518:Max 502:in 470:Dep 460:Max 436:Con 424:Con 420:Con 416:Con 392:Con 384:Con 372:Gen 368:). 366:,,, 341:Gen 289:). 252:Con 237:Con 230:Gen 63:by 3530:: 3479:. 3323:. 3312:. 3287:. 3244:. 3234:. 3222:35 3220:. 3216:. 3189:. 3027:. 3019:. 3009:40 3007:. 3003:. 2884:24 2882:. 2878:. 2828:^ 2730:^ 2695:37 2693:, 2666:. 2658:. 2648:34 2646:. 2642:. 2617:. 2528:. 2501:, 2477:, 2469:, 2445:. 2433:. 2340:. 2295:≫ 2291:≫ 2287:, 2278:or 2272:≫ 2268:, 2264:≫ 2238:≫ 2234:≫ 2223:. 2171:≫ 2167:, 2163:, 2144:, 2123:e 2101:W 2079:W 2057:e 1996:L 1974:e 1952:L 1930:L 1869:e 1847:W 1825:e 1803:W 1723:*! 1711:e. 1689:d. 1663:* 1654:*! 1646:b. 1632:*! 1624:a. 1576:*! 1564:e. 1559:* 1556:*! 1542:d. 1535:*! 1521:c. 1516:* 1489:*! 1479:a. 1431:*! 1419:e. 1414:* 1411:*! 1397:d. 1390:*! 1376:c. 1371:* 1364:*! 1354:b. 1151:L 1137:3 1067:, 1004:b. 982:3 955:. 922:(C 895:. 871:. 379:. 327:, 308:. 300:, 205:. 189:, 178:OT 3444:. 3434:. 3418:: 3252:. 3238:: 3228:: 3201:. 3197:: 3191:7 3174:. 3053:. 3035:. 3015:: 2932:) 2913:) 2894:. 2863:) 2844:) 2822:) 2803:) 2784:) 2765:) 2746:) 2724:) 2706:. 2674:. 2654:: 2625:. 2590:) 2543:/ 2120:L 2117:W 2114:e 2111:e 2098:e 2095:e 2092:e 2089:e 2076:L 2073:e 2070:e 2067:W 2054:L 2051:e 2048:W 2045:W 1993:e 1990:W 1987:e 1984:e 1971:W 1968:e 1965:e 1962:e 1949:W 1946:e 1943:e 1940:e 1927:e 1924:e 1921:W 1918:e 1866:e 1863:W 1860:e 1857:e 1844:W 1841:e 1838:e 1835:e 1822:W 1819:e 1816:e 1813:e 1800:e 1797:e 1794:W 1791:e 1703:* 1682:* 1635:* 1206:) 1202:( 1196:) 1192:( 1186:) 1182:( 1148:W 1145:e 1131:2 1125:1 1041:2 1037:1 1033:2 1029:1 1010:* 996:* 993:* 976:2 970:1 944:3 940:2 936:1 932:3 928:2 924:1 920:3 916:2 912:1 908:3 904:2 900:1 833:) 829:( 610:) 592:) 582:) 500:F 168:. 130:) 124:( 119:) 115:( 105:· 98:· 91:· 84:· 57:. 34:. 20:)

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Optimality Theory
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