Machine: Minimalist Derivations

Examples:
  1. Basic sentence patterns: expand
  2. Derivation by Phase (Chomsky 2001): expand
  3. On Phases (Chomsky, 2008): expand
  4. T-to-C Movement: Causes and Consequences. Pesetsky & Torrego (2001). expand
  5. Explaining TH/EX (Sobin, ms.) and TH/EX, Agreement, and Case in Expletive Sentences (Sobin, 2014). expand
  6. Computation with doubling constituents: Pronouns and antecedents in Phase Theory. (Fong & Ginsburg, 2012). expand
  7. Modeling of Coreference Relations in Multi-Object Constructions. (Fong & Ginsburg, 2012b). expand
  8. Examples from A New Approach to Tough-Constructions (Fong & Ginsburg, 2014).
    Doubling Constituent (DC) approach. expand
    Case-theoretic approach. expand
  9. Relative clause constructions: inspired by (Gallego, 2010) and (Chen, (p.c.)). expand
  10. Test cases from A Course in GB Syntax (Lasnik & Uriagereka,1988). expand
  11. Arabic examples collapse
    Example Instruction stream (clickable) Notes
    ما بيروحوا
    ma b-yruuH-u
    neg indic.imperf go.they
    "They don't go (out)"
    [ruuH, v_unerg, [pro_henna,d], t_imperf, indic, neg, c] (Brustad 2000:122)
    تعلمت اللغة من جيراننا
    tEallm-t el-lugha min jiiran-na
    learned.1st.sg. the-language.f from neighbors.m-our
    I learned the language from our neighbor
    [lugha, el, [jiiraan, poss, [niHna,d], min], tEallm, v_trans, [pro_ana,d], t_perf, c] Pair-merge.
    بيروحو بهالعتمة
    b-y-ruuH-u bi-ha- el-ʕatma
    indic-go.3rd.pl.m in- the-darkness.f
    [aEtma, el, ha, bi, ruuH, v_unerg, [pro_henna,d], t_imperf, indic, c] Brustad 2000:118
    ما يشوفوا العروس لليلة العرس
    maa y-shuuf-u el-ʕaruus la-lelt el-ʕars
    neg see.3rd.pl.m the-bride.f until-night.f the-wedding.m
    "they used to not see the bride until the night..."
    [aEruus, el, [aErs, el, gen, lelt, d, la], shuuf, v_trans, [pro_henna, d], t_imperf, neg, kaan, c] This is currently the abbreviated version of the full phrase kaan-u maa y-shuuf-u el-ʕaruus la-lelt el-ʕars. Was.3rd.pl.m neg. see.3rd.pl.m the-bride.f until-night.f of-the-wedding.m
    Pair-merge.
    جاب له صحن بوظة
    zhaab l-u SaHn buuDHa
    brought.3rd.sg.m to-him plate.m (of).ice-cream.f
    he brought him a plate of ice cream
    [buuDHa, d, gen, saaHn, d, [huwa, d, l], zhaab, v_trans, [pro_huwa, d], t_perf, c] A phrase from the full sentence "zhaab l-u SaHn buuDHa Saar y-aakl-u bi-el-khebez" he brought him a plate of ice cream, he began to eat it with bread. Pair Merge with spliced PP.
    يكونوا عم بيتمشّوا بالشارع
    y-kuun-u ʕam b-y-tmashh-u bi-el-shaarʕa
    was.3rd.pl.m prog. indic-walk.3rd.pl.m in-the-street.m
    ...they'd be walking in the street
    [shaarEa, el, bi, tmashh, v_unerg,[pro_henna,d], t_imperf, indic, 'Eam', kaan, c] Brustad 2000:216
    الضار ما كبيرش
    eD-Dar maa kbir-a-sh
    the-house.f.sg. not big.f.-not
    the house is not big
    [dar, el, kbira, t, neg, c] In some dialects, e.g. Moroccan and Jordanian, negation is split into maa + -sh.
    -sh affix hops over the predicate root.
  12. Japanese examples (Miyagawa 2001) expand
Input:
Size: (x1) (x4)
Websocket: 8010 CONNECTED DISCONNECTED 8010 CONNECTED DISCONNECTED 8010 CONNECTED DISCONNECTED 8010 CONNECTED DISCONNECTED 8010 CONNECTED DISCONNECTED 8010 CONNECTED DISCONNECTED

Machine Parameters: expand

Animation:
جاب له صحن بوظة
zhaab l-u SaHn buuDHa
brought.3rd.sg.m to-him plate.m (of).ice-cream.f
he brought him a plate of ice cream

Derivation:
جاب له صحن بوظة
zhaab l-u SaHn buuDHa
brought.3rd.sg.m to-him plate.m (of).ice-cream.f
he brought him a plate of ice cream

Stream:[[buuDHa!D],[d!case!N],[gen],[saaHn!D],[d!case!N],[[huwa!D],[d!case!N],[l]],[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:[]

Step 1.

Merge [d!case!N] and [buuDHa!D]
Label from [d!case!N] (head with an unvalued uF)
Inherit interpretable [f(phi,[3,sg,f])] from [buuDHa!D]
[d!case!N] values D on [buuDHa!D]
[buuDHa] values N on [d!case!N]
Stream:[[gen],[saaHn!D],[d!case!N],[[huwa!D],[d!case!N],[l]],[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:[d!case[d][buuDHa]]

Step 2.

Merge [gen] and [d!case[d][buuDHa]]
Label from [gen] (head merging with a non-head)
Theta-mark [d!case[d][buuDHa]]
[gen] values gen case on [d!case[d][buuDHa]]
Stream:[[saaHn!D],[d!case!N],[[huwa!D],[d!case!N],[l]],[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:[gen[gen][d[d][buuDHa]]]

Step 3.

Merge [saaHn!D] and [gen[gen][d[d..][buuDHa..]]]
Label from [saaHn!D] (head merging with a non-head)
Stream:[[d!case!N],[[huwa!D],[d!case!N],[l]],[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:[saaHn!D[saaHn!D][gen[gen][d[d][buuDHa]]]]

Step 4.

Merge [d!case!N] and [saaHn!D[saaHn!D][gen[gen..][d..]]]
Label from [d!case!N] (head merging with a non-head)
Inherit interpretable [f(phi,[3,sg,m])] from [saaHn!D[saaHn!D][gen[gen..][d..]]]
[d!case!N] values D on [saaHn!D[saaHn!D][gen[gen..][d..]]]
[saaHn[saaHn][gen[gen..][d..]]] values N on [d!case!N]
Stream:[[[huwa!D],[d!case!N],[l]],[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:[d!case[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]

Step 5.

Begin substream
Stream:[[huwa!D],[d!case!N],[l]]
Stack (⥥):
SO:[]

Step 6.

Merge [d!case!N] and [huwa!D]
Label from [d!case!N] (head with an unvalued uF)
Inherit interpretable [f(phi,[3,sg,m])] from [huwa!D]
[d!case!N] values D on [huwa!D]
[huwa] values N on [d!case!N]
Stream:[[l]]
Stack (⥥):
SO:[d!case[d][huwa]]

Step 7.

Merge [l] and [d!case[d][huwa]]
Label from [l] (head merging with a non-head)
Theta-mark [d!case[d][huwa]]
[l] values gen case on [d!case[d][huwa]]
Stream:[]
Stack (⥥):
SO:[l[l][d[d][huwa]]]
End substream, SO [l[l][d[d][huwa]]] re-inserted into main stream

Step 8.

Stream:[[l[l][d[d][huwa]]],[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:[d!case[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]

Step 9.

Pair-merge [l[l][d[d][huwa]]] and [d!case[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
Stream:[[zhaab],[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):
SO:<[d!case[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>

Step 10.

Merge [zhaab] and <[d!case[d][saaHn[saaHn..][gen..]]],[l[l][d[d..][huwa..]]]>
Label from [zhaab] (head merging with a non-head)
Theta-mark <[d!case[d][saaHn[saaHn..][gen..]]],[l[l][d[d..][huwa..]]]>
Push [d!case[d][saaHn[saaHn..][gen..]]] (unvalued uF) onto stack
Stream:[[vtrans!phi],[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):[d!case[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[zhaab[zhaab]<[d!case[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]

Step 11.

Merge [vtrans!phi] and [zhaab[zhaab]<[d!case[d..][saaHn..]],[l[l..][d..]]>]
Label from [vtrans!phi] (head merging with a non-head)
[d!case[d][saaHn[saaHn..][gen..]]] values uPhi on [vtrans!phi]
[vtrans] values acc case on [d!case[d][saaHn[saaHn..][gen..]]]
Stream:[[[prohuwa!D],[d!case!N]],[tperf!phi],[c]]
Stack (⥥):[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[vtrans[vtrans][zhaab[zhaab]<[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]]

Step 12.

Begin substream
Stream:[[prohuwa!D],[d!case!N]]
Stack (⥥):
SO:[]

Step 13.

Merge [d!case!N] and [prohuwa!D]
Label from [d!case!N] (head with an unvalued uF)
Inherit interpretable [f(phi,[3,sg,m])] from [prohuwa!D]
[d!case!N] values D on [prohuwa!D]
[prohuwa] values N on [d!case!N]
Stream:[]
Stack (⥥):
SO:[d!case[d][prohuwa]]
End substream, SO [d!case[d][prohuwa]] re-inserted into main stream

Step 14.

Stream:[[d!case[d][prohuwa]],[tperf!phi],[c]]
Stack (⥥):[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[vtrans[vtrans][zhaab[zhaab]<[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]]

Step 15.

Merge [vtrans[vtrans][zhaab[zhaab..]<[d..],[l..]>]] and [d!case[d][prohuwa]]
Label from [vtrans[vtrans][zhaab[zhaab..]<[d..],[l..]>]] (edge feature)
Theta-mark [d!case[d][prohuwa]]
Push [d!case[d][prohuwa]] (unvalued uF) onto stack
Stream:[[tperf!phi],[c]]
Stack (⥥):[d!case[d][prohuwa]]
[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[vtrans[d!case[d][prohuwa]][vtrans[vtrans][zhaab[zhaab]<[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]]]

Step 16.

Merge [tperf!phi] and [vtrans[d!case[d..][prohuwa..]][vtrans[vtrans..][zhaab..]]]
Label from [tperf!phi] (head merging with a non-head)
[d!case[d][prohuwa]] values uPhi on [tperf!phi]
[tperf] values nom case on [d!case[d][prohuwa]]
Stream:[[c]]
Stack (⥥):[d[d][prohuwa]]
[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[tperf[tperf][vtrans[d[d][prohuwa]][vtrans[vtrans][zhaab[zhaab]<[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]]]]

Step 17.

Internal merge selected
Merge [tperf[tperf][vtrans[d..][vtrans..]]] and [d[d][prohuwa]]
Label from [tperf[tperf][vtrans[d..][vtrans..]]] (edge feature)
Stream:[[c]]
Stack (⥥):[d[d][prohuwa]]
[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[tperf[d[d][prohuwa]][tperf[tperf][vtrans[d[d][prohuwa]][vtrans[vtrans][zhaab[zhaab]<[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]]]]]

Step 18.

Merge [c] and [tperf[d[d..][prohuwa..]][tperf[tperf..][vtrans..]]]
Label from [c] (head merging with a non-head)
Stream:[]
Stack (⥥):[d[d][prohuwa]]
[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]]
SO:[c[c][tperf[d[d][prohuwa]][tperf[tperf][vtrans[d[d][prohuwa]][vtrans[vtrans][zhaab[zhaab]<[d[d][saaHn[saaHn][gen[gen][d[d][buuDHa]]]]],[l[l][d[d][huwa]]]>]]]]]]

Parse:
Spell-out:
zhaab saaHn buuDHa l huwa (after morpheme realization)
zhaab saaHn buuDHa l huwa (after affix-hop)
zhaab saaHn buuDHa l -u (after morpheme realization, stage 2)
zhaab saaHn buuDHa l-u  

One derivation found.
Computational Cost:
Merge: 14, Agree: 14, Unify: 0, Push: 2, Boundaries: 0, Inject: 0
Non-TOS access: 0, Pop: 0, Depth cost: 4
Step:0123456789101112131415161718
Stack depth:0000000000110012222

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