Documentation

Linglib.Phenomena.Complementation.Studies.LiuYip2026

Liu & Yip 2026: Again, finiteness, and split aspect in Chinese languages #

@cite{liu-yip-2026} (NLLT 44:25, doi 10.1007/s11049-026-09708-5).

Paper's central claims #

(1) Hierarchical, size-based finiteness in Chinese. Three clause sizes: Type I (CP, finite), Type II (TP, nonfinite without Aspect Restructuring), Type III (vP, nonfinite with Aspect Restructuring). (2) Split aspect. Two aspectual projections in the spine: AspP_outer above vP, AspP_inner inside vP. (3) Asymmetry of again-elements. Mandarin preverbal you and Cantonese postverbal -faan associate with AspP_outer (and may exhibit "exceptional scopal behavior" — you-skipping by movement+reconstruction; -faan-lowering by Agree). Mandarin zai and Cantonese -gwo associate with AspP_inner (and never scope-mismatch). (4) Defective intervention. When the embedded clause is TP-sized, its embedded AspP_outer blocks the matrix probe's reach to the embedded again-element. (5) @cite{wurmbrand-lohninger-2023} ICH (proposition > situation > event) instantiated by Chinese as CP > TP > vP. (6) vP is the minimal nonfinite size. Empirical: AspP_inner is mandatory above V; aspect-lowering and -gwo-lowering systematically don't occur.

What this Studies file commits to substrate #

What this Studies file does NOT commit to #

Cross-framework reconciliation #

§11 below documents divergences with HPSG (lexical-rule analysis of "you-skipping"), Dependency Grammar (no AspP, no ICH), CCG (forward composition), Fragments/Italian/Modals.lean's @cite{hacquard-2006} restructuring substrate, Phenomena/Control/Studies/Landau2015.lean's ControlTier, and Theories/Syntax/Minimalist/Phase.lean. The @cite{cinque-2006} vs. @cite{wurmbrand-2001} restructuring rivalry is made explicit in §10 as a refutation theorem candidate.

@cite{liu-yip-2026}'s Type I: finite (CP). Selected by xiangxin 'believe', shuo 'say' etc.; blocks you-skipping and -faan-lowering.

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    @cite{liu-yip-2026}'s Type II: nonfinite without Aspect Restructuring (TP). Selected when the predicate licenses TP but blocks -faan-lowering via embedded AspP_outer intervention.

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      @cite{liu-yip-2026}'s Type III: nonfinite with Aspect Restructuring (vP). Selected by xiang 'want', rang 'let' etc.; permits you-skipping and -faan-lowering.

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        The Implicational Complementation Hierarchy of @cite{wurmbrand-lohninger-2023}: proposition > situation > event in transparency-decreasing order.

        Local to this Studies file; promotion to Theories/Syntax/Complementation/ is contingent on a second paper-anchored consumer (see Phenomena/Control studies and Phenomena/Complementation/Studies/Grano2024.lean as candidate second sites).

        LinearOrder is not derived: the implicational content of the ICH is a theorem about a transparency relation, not a structural property of the class lattice. The order here is just the enum's natural one (event < situation < proposition); the implicational claim is transparency_downward_closed below.

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            Project a ComplementSize onto the @cite{wurmbrand-lohninger-2023} 3-tier ComplementClass, by fValue thresholds. This is @cite{liu-yip-2026}'s Chinese-specific mapping (the paper notes explicitly that other languages may calibrate differently). The Studies file instantiates the mapping; a richer cross-linguistic substrate would parameterize it per-language.

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              @cite{wurmbrand-2001}-style restructuring: drop the topmost projected head from a ClauseSpine. Returns none if the spine has only one head (the floor).

              Local to this Studies file. Fails the ≥2-consumer rule for substrate; promotion candidate when Fragments/Italian/Modals.lean's informal restructuring discussion gets a Studies file or when a @cite{wurmbrand-2014} study lands.

              Implementation: the dropLast of an at-least-2-element list is non-empty, proved via the [x, y :: rest] pattern's structural guarantee.

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                Restructuring strictly decreases spine length (when defined). The proof unfolds via the structural constructors of ClauseSpine.

                @cite{liu-yip-2026}'s defective intervention (@cite{chomsky-2000}): an embedded head of the same category as the matrix probe blocks Agree, regardless of bilateral labeling. The featural-compatibility check enforces that intervention is by an element occupying an embedded probe position, not by a category in a sister's label.

                intervenes returns true when the embedded head's selectional requirement (e.g. Asp_outer's [+D] dynamicity expectation) overlaps with the matrix probe's expectation in a way that creates a defective intervention configuration. The simplest such check: same-flavor + same-or-compatible selectional spec.

                This predicate deliberately does NOT call ProbeProfile.transparentToLabel — head-as-intervener and label-as-locus diverge on featurally-mismatched probes.

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                  Studies-side projection: Mandarin you 'again' is typed as an AspP_outer-associated probe-bearing head with a [+D] dynamicity selectional restriction (per @cite{lin-liu-2009}, building on @cite{shen-2004}). The lexical entry in Fragments/Mandarin/Particles.lean carries only the presupposition trigger; the syntactic typing here is @cite{liu-yip-2026}'s analytical commitment.

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                    Studies-side projection: Mandarin zai 'again' is typed as an AspP_inner-associated bare head, no dynamicity restriction.

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                      Studies-side projection: Cantonese -faan 'again' is AspP_outer-associated but, unlike Mandarin you, does NOT carry a [+D] selectional restriction (it is compatible with stative jau 'have' per @cite{liu-yip-2026}).

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                        Studies-side projection: Cantonese -gwo (repetitive use) is AspP_inner-associated. Its experiential use is also AspP_inner per the lexical entry, but pragmatically distinct.

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                          Mandarin you and Cantonese -faan are BOTH outer-aspect, but only you carries [+D]. Encoding -faan with selectsDynamicity = some .dynamic would over-predict (it would force incompatibility with stative jau).

                          Generalization I (@cite{liu-yip-2026}): in Mandarin, an again-element exhibits exceptional scopal behavior IFF it is outer-aspect-associated.

                          On the substrate: youAspHead.isOuter = true (you may skip); zaiAspHead.isOuter = false (zai may not). The empirical content is the biconditional between AspFlavor and the scope-mismatch facts the paper documents.

                          Generalization I (Cantonese counterpart): -faan (outer) may lower; -gwo (inner) may not.

                          Generalization II (@cite{liu-yip-2026}): the exceptional scopal behavior of again may cross nonfinite (vP) but not finite (CP) clause boundaries.

                          On the substrate: this is an instance of upward entailment of opacity (Probe.lean upward_entailment_label). Stated here without invoking bilateral labeling — see §5 above. The content is that for any matrix again-bearing AspO probe, the complement clause's size determines transparency: vP transparent, TP / CP opaque.

                          Correlation I (@cite{liu-yip-2026}, Mandarin): an again-element exhibits exceptional scopal behavior IFF it cannot surface in an embedded nonfinite clause without a dynamic ([+D]) aspect.

                          On the substrate: this is the consequence of Mandarin you's selectsDynamicity = some .dynamic. zai, with no such restriction, can attach to either dynamic or stative complements but never scopes mismatch.

                          Correlation II (@cite{liu-yip-2026}): an again-element exhibits exceptional scopal behavior IFF it is structurally higher than aspectual elements.

                          On the substrate: AspO has higher defaultFLevel (2) than AspI (1). Outer you / -faan are above the inner aspectual elements; inner zai / -gwo are not.

                          The minimal-vP claim is an empirical generalization about Chinese, not a structural property derived from substrate. Stated here as a per-fragment assertion that every nonfinite-clause-taking predicate in the Mandarin and Cantonese fragments selects a complement of size ≥ vP. Falsifiable by a single new datum.

                          Internal tension in the @cite{liu-yip-2026} architecture #

                          There is a hidden incoherence: the spine substrate (ClauseSpine + AspFlavor.outer / inner always projected when present) commits to @cite{cinque-2006}'s "always project all functional heads" view; the restructuring operator above (truncate the topmost head) commits to @cite{wurmbrand-2001}'s "remove projection on restructuring" view. These are direct rivals on the same Chinese aspect data.

                          The current formalization adopts both — and lives with the tension — because:

                          (a) The split-aspect substrate (AspHead { flavor }) is theory-neutral: a flavor field on a single Cat.Asp constructor doesn't itself say that AspP_outer is always projected. Languages can opt in to projecting only one flavor.

                          (b) The local restructure operator above is Wurmbrand-flavored, not a cross-framework commitment. A Cinque-flavored alternative would leave the spine unchanged but mark some heads as silent — trivially, id. The substrate accommodates both projections; the rivalry is visible rather than hidden.

                          The sharp refutation theorem ¬ (Wurmbrand.truncated.projects .Asp ↔ Cinque.full.projects .Asp) is contingent on a Cinque-style "always project" formalization landing in Theories/Syntax/Minimalist/. Until then, the rivalry is documented in prose, not theorem.

                          A trivial Cinque-flavored "restructuring" (identity) for comparison with the Wurmbrand-flavored restructure above. @cite{cinque-2006}'s claim is that restructuring is projection-marking, not truncation; structurally, the spine is unchanged.

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                            Sister-framework treatments of "you-skipping" / -faan-lowering #

                            Each major sister framework analyzes the same data via a fundamentally different mechanism. This section documents the divergences without attempting bridge theorems (which would require the sister frameworks to have Studies-level Chinese formalizations they currently lack):

                            The local ComplementClass projects to the existing theory-neutral surface enum Typology.Complementation.ComplementClauseStructure. This converts the planned ICH from a parallel third axis into a projection over substrate that already serves @cite{deal-2026}, @cite{landau-2015}, @cite{cristofaro-2013}, and @cite{noonan-2007} — the interconnection-density discipline CLAUDE.md describes.

                            Note: the projection collapses @cite{wurmbrand-lohninger-2023}'s three classes onto two surface patterns (barePropositionalCP for proposition, abarInternalCP for situation/event). The collapse is correct for Chinese but may not generalize.

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                              Deferred items #