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Canonical and Non-Canonical Roots: The Diversity of Roots in Mandarin Chinese
Qin, Y. (2025). Lingua, 328, 104068
Qin defines a root as a morphologically unanalyzable form that serves as a core of word
formation, the substrate's Morphology.IsCore over Bloomfield's primary words. The judgment is
formal rather than semantic: the meaningless -fer is a core of the primary word
refer, and the plural -s of cats is not. Four criteria, boundness,
positional flexibility, phonological richness and meaning lexicality, span sixteen cells,
$\binom{4}{k}$ of which fail $k$ criteria. Each of 122 Mandarin morphemes
falls in the group of the number of criteria it fails, the groups run
from the canonical 厂 chǎng to the toneless 个 -ge, and a toneless
morpheme fails all four.
Implementation notes
The appendix's codes are the features of each form's cell in the data: F or B for boundness, FLEX,
SL, or SR for position, 1 or TL for phonology, and L or NL for meaning. A row reads them as a
Boolean judgment on each criterion, the canonical value being true; the two fixed positions SL and
SR both count as fixed. The appendix's group is the paper's analysis of the form. The counts of
Tables 2 and 4 are the distribution of the forms and are not restated.
TODO
The paper says that six of the unattested cells of the space require phonological deficiency; the appendix leaves seven such cells unattested, since only the maximally non-canonical cell contains a toneless morpheme, and the cell of free, fixed, toned, lexical morphemes is unattested as well.
References
- Qin 2025, Canonical and Non-Canonical Roots: The Diversity of Roots in Mandarin Chinese
- Bloomfield 1933, Language formalized
The base definition and -fer (§3.1)
-fer, a bound root with no identifiable meaning.
- fer = Morphology.Morph.root "fer"
-fer is a morphological core, since it occurs in the primary word refer. So is the prefix re-: the base definition tells a bound root from an affix only by the words they form.
Built from , ,
Built from ,
The four criteria and the theoretical space (§3.2, §3.3)
A morpheme's judgment on the four criteria of Table 1, whether it is free, positionally flexible, phonologically rich, and lexical in meaning.
- c1 : Bool
Whether the morpheme is free rather than bound, criterion C1.
- c2 : Bool
Whether the morpheme is positionally flexible rather than fixed, criterion C2.
- c3 : Bool
Whether the morpheme is phonologically rich rather than deficient, criterion C3.
- c4 : Bool
Whether the morpheme is lexical rather than less lexical in meaning, criterion C4.
Derives DecidableEq, Repr, Fintype.
Used by Row.violations, Row.IsCanonical, instDecidableIsCanonical, space_card, tier_card, interpret
The number of criteria a row fails, its distance from the canonical root.
- r.violations = (((if r.c1 = true then 0 else 1) + if r.c2 = true then 0 else 1) + if r.c3 = true then 0 else 1) + if r.c4 = true then 0 else 1
Built from
Used by Row.IsCanonical, instDecidableIsCanonical, tier_card, violations?, deficient_maximal
A canonical root satisfies all four criteria.
- r.IsCanonical = (r.violations = 0)
Built from ,
Used by instDecidableIsCanonical
- instDecidableIsCanonical r = { decide := r.violations.beq 0, reflects_decide := ⋯ }
Built from , ,
Built from
In Fig. 1, 4.choose k cells fail exactly k criteria.
Built from ,
The Mandarin case study (§4, Appendix A)
A form's judgments on the four criteria, read from the appendix's codes.
The definition is too large to print here; read it in the source.
Built from
Used by violations?, deficient_maximal
The number of criteria a form fails.
- violations? f = Option.map Row.violations (interpret f)
Built from ,
Used by forms_group, mandarin_tiers
Every form is classified on all four criteria, and its group is the number it fails.
Built from ,
A phonologically deficient morpheme is maximally non-canonical: only the bottom cell of the space holds a toneless morpheme.
Built from ,
Each of the five tiers of Table 3 has a member, from canonical 厂 chǎng to 边 -bian and 个 -ge meeting no criterion.
Built from