Reading Working Papers in Linguistics 4 (2000) - The University of ...

P. COUTSOUGERA
operation McCarthy precisely avoids time implications: an operation
implies time whereas a relation does not.
8. Cumulativity
8.1 Rejection of inter-candidate correspondence by McCarthy (1999)
Nevertheless, the model of ST proposed by McCarthy (1998) is too
powerful. The ❀constraint is given all the power it needs to exert ANY
possible influence onto the candidates and thus, in a certain sense,
‘manipulate’ the result. McCarthy (1999) admits that the framework of
inter-candidate correspondence is too rich as it brings with it the full
expressive power of correspondence theory and thus permits unattested
patterns of opacity to be described, such as the feeding Duke-of-York 13
ones 14 .
“The theory’s excessive richness comes from inter-candidate
faithfulness constraints such as ❀IDENT (high) 15 . These constraints allow
ANY information about the sympathetic candidate to be transmitted to
the actual output form. … I therefore reject the notion of inter-candidate
faithfulness constraints and here propose a more restrictive alternative.”
[McCarthy 1999:20].
The ❀constraint IDENT-O (pal) in tableau 3 is what transmits the
critical property of palatality to the output. This is also precisely what the
constraint ❀IDENT I-O (pal) failed to transmit to the output as it is
crucially ranked below *rca. Ranking IDENT-O (pal) above *rca would
fail, too, as this would give the wrong output *(erca for the transparent
example (erka (see data in 2 and derivations in 4 above).
8.2 Introducing Cumulativity
In an attempt to restrict the excessive descriptive power of the theory,
McCarthy (1999) re-visits ST, rejects inter-candidate correspondence and
proposes Cumulativity (also discussed in McCarthy 1998).
He introduces an extra constraint, ❀SYM, in the ST tableau (see
below). In simple words, Cumulativity is based on evaluating whether
two candidates share a subset of the same unfaithful mappings.
13 Duke-of-York derivations have the form A! B ! A.
14 According to McCarthy (1999), feeding Duke-of-York derivations are not attested
in any language.
15 ❀IDENT -O (pal) / (vel) in our examples of CG
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