Markedness and Inventories

1
? Markedness and Inventories

• An inventory structured by markedness
• An inventory I is harmonically complete (HC) iff
• x ? I and y is (strictly) less marked than x
• implies
• y ? I
• A typology structured by markedness
• A typology T is strongly Harmonically complete
  (SHarC) iff
• L ? T if and only if L is harmonically complete
• (Prince Smolensky 93 Ch. 9)
• Are OT inventories harmonically complete?
• Are OT typologies SHarC?

2
? Harmonic Completeness

• English obstruent inventory
• is HC w.r.t. Place/continuancy

Inventory Bans Only the Worst Of the Worst (BOWOW)
but is not generable by ranking velar,
cont FPlace, Fcont
3
? Local Conjunction

• Crucial to distinguish
• taxi
• ?saki

x w.r.t segment inventory cont, velar
fatal in same segment

• cont, velar
• cont, velar

Local conjunction cont seg velar
violated when both violated in same segment
4
? Basic Inventories/Typologies

• Formal analysis of HC/SHarC in OT Definitions
• Basic inventory I F of elements of type D,
  where F fk
• Candidates X ?f1, ?f2, ?f3, ?f4,
• Con MARK f1, ?f2,
• FAITH Ff1, Ff2,
• I F a ranking of Con
• Basic typology T F All rankings of Con
• Basic typology w/ Local Conjunction, T LCF All
  rankings of ConLC Con all conjunctions of
  constraints in MARK, local to D

5
? SHarC Theorem

• SHarC Theorem
• T F
• each language is HC
• SHarC property does not hold
• TLCF
• each language is HC
• SHarC property holds