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gf-core/lib/resource/api/Constructors.gf
2008-10-03 13:18:46 +00:00

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--1 Constructors: the Resource Syntax API
incomplete resource Constructors = open Grammar in {
flags optimize=noexpand ;
-- This module gives access to the syntactic constructions of the
-- GF Resource Grammar library. Its main principle is simple:
-- to construct an object of type $C$, use the function $mkC$.
--
-- For example, an object of type $S$ corresponding to the string
--
-- $John loves Mary$
--
-- is written
--
-- $mkS (mkCl (mkNP (mkPN "John")) (mkV2 "love") (mkNP (mkPN "Mary")))$
--
-- This module defines the syntactic constructors, which take trees as arguments.
-- Lexical constructors, which take strings as arguments, are defined in the
-- $Paradigms$ modules separately for each language.
--
-- The recommended usage of this module is via the wrapper module $Syntax$,
-- which also contains the $Structural$ (structural words).
-- Together with $Paradigms$, $Syntax$ gives everything that is needed
-- to implement the concrete syntax for a langauge.
--2 Principles of organization
-- To make the library easier to grasp and navigate, we have followed
-- a set of principles when organizing it:
-- + Each category $C$ has an overloaded constructor $mkC$, with value type $C$.
-- + With $mkC$, it is possible to construct any tree of type $C$, except
-- atomic ones, i.e. those that take no arguments, and
-- those whose argument types are exactly the same as in some other instance
-- + To achieve completeness, the library therefore also has
-- for each atomic tree of type $C$, a constant suffixed $C$, and,
-- for other missing constructions, some operation suffixed $C$.
-- These constructors are listed immediately after the $mkC$ group.
-- + Those atomic constructors that are given in $Structural$ are not repeated here.
-- + In addition to the minimally complete set of constructions, many $mkC$ groups
-- include some frequently needed special cases, with two possible logics:
-- default value (to decrease the number of arguments), and
-- direct arguments of an intervening constructor (to flatten the terms).
-- + If such a special case is applied to some category in some rule, it is
-- also applied to all other rules in which the category appears.
-- + The constructors in a group are listed, roughly,
-- *from the most common to the most general*. This does not of course specify
-- a total order.
-- + Optional argument types are marked in parentheses. Although parentheses make no
-- difference in the way the GF compiler treats the types, their presence indicates
-- to the reader that the corresponding arguments can be left out; internally, the
-- library has an overload case for each such combination.
-- + Each constructor case is equipped with an example that is built by that
-- case but could not be built with any other one.
--
--
--2 Texts, phrases, and utterances
--3 Text: texts
-- A text is a list of phrases separated by punctuation marks.
-- The default punctuation mark is the full stop, and the default
-- continuation of a text is empty.
oper
mkText : overload {
mkText : Phr -> Text ; -- 1. But John walks.
mkText : Phr -> (Punct) -> (Text) -> Text ; -- 2. John walks? Yes.
-- A text can also be directly built from utterances, which in turn can
-- be directly built from sentences, present-tense clauses, questions, or
-- positive imperatives.
mkText : Utt -> Text ; -- 3. John.
mkText : S -> Text ; -- 4. John walked.
mkText : Cl -> Text ; -- 5. John walks.
mkText : QS -> Text ; -- 6. Did John walk?
mkText : Imp -> Text ; -- 7. Walk!
-- Finally, two texts can be combined into a text.
mkText : Text -> Text -> Text ; -- 8. Where? When? Here. Now!
} ;
-- A text can also be empty.
emptyText : Text ; -- 8. (empty text)
--3 Punct: punctuation marks
-- There are three punctuation marks that can separate phrases in a text.
fullStopPunct : Punct ; -- .
questMarkPunct : Punct ; -- ?
exclMarkPunct : Punct ; -- !
--3 Phr: phrases in a text
-- Phrases are built from utterances by adding a phrasal conjunction
-- and a vocative, both of which are by default empty.
mkPhr : overload {
mkPhr : Utt -> Phr ; -- 1. why
mkPhr : (PConj) -> Utt -> (Voc) -> Phr ; -- 2. but why John
-- A phrase can also be directly built by a sentence, a present-tense
-- clause, a question, or a positive singular imperative.
mkPhr : S -> Phr ; -- 3. John walked
mkPhr : Cl -> Phr ; -- 4. John walks
mkPhr : QS -> Phr ; -- 5. did John walk
mkPhr : Imp -> Phr -- 6. walk
} ;
--3 PConj, phrasal conjunctions
-- Any conjunction can be used as a phrasal conjunction.
-- More phrasal conjunctions are defined in $Structural$.
mkPConj : Conj -> PConj ; -- 1. and
--3 Voc, vocatives
-- Any noun phrase can be turned into a vocative.
-- More vocatives are defined in $Structural$.
mkVoc : NP -> Voc ; -- 1. John
--3 Utt, utterances
-- Utterances are formed from sentences, clauses, questions, and positive singular imperatives.
mkUtt : overload {
mkUtt : S -> Utt ; -- 1. John walked
mkUtt : Cl -> Utt ; -- 2. John walks
mkUtt : QS -> Utt ; -- 3. did John walk
mkUtt : Imp -> Utt ; -- 4. love yourself
-- Imperatives can also vary in $ImpForm$ (number/politeness) and
-- polarity.
mkUtt : (ImpForm) -> (Pol) -> Imp -> Utt ; -- 5. don't love yourselves
-- Utterances can also be formed from interrogative phrases and
-- interrogative adverbials, noun phrases, adverbs, and verb phrases.
mkUtt : IP -> Utt ; -- 6. who
mkUtt : IAdv -> Utt ; -- 7. why
mkUtt : NP -> Utt ; -- 8. John
mkUtt : Adv -> Utt ; -- 9. here
mkUtt : VP -> Utt -- 10. to walk
} ;
-- The plural first-person imperative is a special construction.
lets_Utt : VP -> Utt ; -- 11. let's walk
--2 Auxiliary parameters for phrases and sentences
--3 Pol, polarity
-- Polarity is a parameter that sets a clause to positive or negative
-- form. Since positive is the default, it need never be given explicitly.
positivePol : Pol ; -- (John walks) [default]
negativePol : Pol ; -- (John doesn't walk)
--3 Ant, anteriority
-- Anteriority is a parameter that presents an event as simultaneous or
-- anterior to some other reference time.
-- Since simultaneous is the default, it need never be given explicitly.
simultaneousAnt : Ant ; -- (John walks) [default]
anteriorAnt : Ant ; -- (John has walked) --# notpresent
--3 Tense, tense
-- Tense is a parameter that relates the time of an event
-- to the time of speaking about it.
-- Since present is the default, it need never be given explicitly.
presentTense : Tense ; -- (John walks) [default]
pastTense : Tense ; -- (John walked) --# notpresent
futureTense : Tense ; -- (John will walk) --# notpresent
conditionalTense : Tense ; -- (John would walk) --# notpresent
--3 ImpForm, imperative form
-- Imperative form is a parameter that sets the form of imperative
-- by reference to the person or persons addressed.
-- Since singular is the default, it need never be given explicitly.
singularImpForm : ImpForm ; -- (help yourself) [default]
pluralImpForm : ImpForm ; -- (help yourselves)
politeImpForm : ImpForm ; -- (help yourself) (polite singular)
--2 Sentences and clauses
--3 S, sentences
-- A sentence has a fixed tense, anteriority and polarity.
mkS : overload {
mkS : Cl -> S ; -- 1. John walks
mkS : (Tense) -> (Ant) -> (Pol) -> Cl -> S ; -- 2. John wouldn't have walked
-- Sentences can be combined with conjunctions. This can apply to a pair
-- of sentences, but also to a list of more than two.
mkS : Conj -> S -> S -> S ; -- 3. John walks and I run
mkS : Conj -> ListS -> S ; -- 4. John walks, I run and you sleep
-- A sentence can be prefixed by an adverb.
mkS : Adv -> S -> S -- 5. today, John walks
} ;
--3 Cl, clauses
-- A clause has a variable tense, anteriority and polarity.
-- A clause can be built from a subject noun phrase
-- with a verb and appropriate arguments.
mkCl : overload {
mkCl : NP -> V -> Cl ; -- 1. John walks
mkCl : NP -> V2 -> NP -> Cl ; -- 2. John loves her
mkCl : NP -> V3 -> NP -> NP -> Cl ; -- 3. John sends it to her
mkCl : NP -> VV -> VP -> Cl ; -- 4. John wants to walk
mkCl : NP -> VS -> S -> Cl ; -- 5. John says that it is good
mkCl : NP -> VQ -> QS -> Cl ; -- 6. John wonders if it is good
mkCl : NP -> VA -> AP -> Cl ; -- 7. John becomes old
mkCl : NP -> V2A -> NP -> AP -> Cl ; -- 8. John paints it red
mkCl : NP -> V2S -> NP -> S -> Cl ; -- 9. John tells her that we are here
mkCl : NP -> V2Q -> NP -> QS -> Cl ; -- 10. John asks her who is here
mkCl : NP -> V2V -> NP -> VP -> Cl ; -- 11. John forces us to sleep
mkCl : NP -> A -> Cl ; -- 12. John is old
mkCl : NP -> A -> NP -> Cl ; -- 13. John is older than her
mkCl : NP -> A2 -> NP -> Cl ; -- 14. John is married to her
mkCl : NP -> AP -> Cl ; -- 15. John is very old
mkCl : NP -> N -> Cl ; -- 16. John is a man
mkCl : NP -> CN -> Cl ; -- 17. John is an old man
mkCl : NP -> NP -> Cl ; -- 18. John is the man
mkCl : NP -> Adv -> Cl ; -- 19. John is here
-- As the general rule, a clause can be built from a subject noun phrase and
-- a verb phrase.
mkCl : NP -> VP -> Cl ; -- 20. John walks here
-- Subjectless verb phrases are used for impersonal actions.
mkCl : V -> Cl ; -- 21. it rains
mkCl : VP -> Cl ; -- 22. it is raining
-- Existentials are a special form of clauses.
mkCl : N -> Cl ; -- 23. there is a house
mkCl : CN -> Cl ; -- 24. there is an old houses
mkCl : NP -> Cl ; -- 25. there are five houses
-- There are also special forms in which a noun phrase or an adverb is
-- emphasized.
mkCl : NP -> RS -> Cl ; -- 26. it is John that walks
mkCl : Adv -> S -> Cl -- 27. it is here John walks
} ;
-- Generic clauses are one with an impersonal subject.
genericCl : VP -> Cl ; -- 28. one walks
--2 Verb phrases and imperatives
--3 VP, verb phrases
-- A verb phrase is formed from a verb with appropriate arguments.
mkVP : overload {
mkVP : V -> VP ; -- 1. walk
mkVP : V2 -> NP -> VP ; -- 2. love her
mkVP : V3 -> NP -> NP -> VP ; -- 3. send it to her
mkVP : VV -> VP -> VP ; -- 4. want to walk
mkVP : VS -> S -> VP ; -- 5. know that she walks
mkVP : VQ -> QS -> VP ; -- 6. ask if she walks
mkVP : VA -> AP -> VP ; -- 7. become old
mkVP : V2A -> NP -> AP -> VP ; -- 8. paint it red
-- The verb can also be a copula ("be"), and the relevant argument is
-- then the complement adjective or noun phrase.
mkVP : A -> VP ; -- 9. be warm
mkVP : AP -> VP ; -- 12. be very warm
mkVP : A -> NP -> VP ; -- 10. be older than her
mkVP : A2 -> NP -> VP ; -- 11. be married to her
mkVP : N -> VP ; -- 13. be a man
mkVP : CN -> VP ; -- 14. be an old man
mkVP : NP -> VP ; -- 15. be the man
mkVP : Adv -> VP ; -- 16. be here
-- A verb phrase can be modified with a postverbal or a preverbal adverb.
mkVP : VP -> Adv -> VP ; -- 17. sleep here
mkVP : AdV -> VP -> VP ; -- 18. always sleep
-- Objectless verb phrases can be taken to verb phrases in two ways.
mkVP : VPSlash -> NP -> VP ; -- 19. paint it black
mkVP : VPSlash -> VP ; -- 20. paint itself black
} ;
-- Two-place verbs can be used reflexively.
reflexiveVP : V2 -> VP ; -- 19. love itself
-- Two-place verbs can also be used in the passive, with or without an agent.
passiveVP : overload {
passiveVP : V2 -> VP ; -- 20. be loved
passiveVP : V2 -> NP -> VP ; -- 21. be loved by her
} ;
-- A verb phrase can be turned into the progressive form.
progressiveVP : VP -> VP ; -- 22. be sleeping
--3 Imp, imperatives
-- Imperatives are formed from verbs and their arguments; as the general
-- rule, from verb phrases.
mkImp : overload {
mkImp : V -> Imp ; -- go
mkImp : V2 -> NP -> Imp ; -- take it
mkImp : VP -> Imp -- go there now
} ;
--2 Noun phrases and determiners
--3 NP, noun phrases
-- A noun phrases can be built from a determiner and a common noun ($CN$) .
-- For determiners, the special cases of quantifiers, numerals, integers,
-- and possessive pronouns are provided. For common nouns, the
-- special case of a simple common noun ($N$) is always provided.
mkNP : overload {
mkNP : Art N -> NP ; -- 1. the man
mkNP : Art -> (Num) -> CN -> NP ; -- 2. the five old men
mkNP : Quant -> N -> NP ; -- 3. this men
mkNP : Quant -> (Num) -> CN -> NP ; -- 4. these five old men
mkNP : Det -> N -> NP ; -- 5. the first man
mkNP : Det -> CN -> NP ; -- 6. the first old man
mkNP : Numeral -> N -> NP ; -- 7. twenty men
mkNP : Numeral -> CN -> NP ; -- 8. twenty old men
mkNP : Digits -> N -> NP ; -- 9. 45 men
mkNP : Digits -> CN -> NP ; -- 10. 45 old men
mkNP : Card -> N -> NP ; -- 11. almost twenty men
mkNP : Card -> CN -> NP ; -- 12. almost twenty old men
mkNP : Pron -> N -> NP ; -- 13. my man
mkNP : Pron -> CN -> NP ; -- 14. my old man
-- Proper names and pronouns can be used as noun phrases.
mkNP : PN -> NP ; -- 15. John
mkNP : Pron -> NP ; -- 16. he
-- Determiners alone can form noun phrases (this excludes articles, $Art$)
mkNP : Quant -> NP ; -- 17. this
mkNP : Det -> NP ; -- 18. these five
-- Determinesless mass noun phrases.
mkNP : N -> NP ; -- 19. beer
mkNP : CN -> NP ; -- 20. beer
-- A noun phrase once formed can be prefixed by a predeterminer and
-- suffixed by a past participle or an adverb.
mkNP : Predet -> NP -> NP ; -- 21. only John
mkNP : NP -> V2 -> NP ; -- 22. John killed
mkNP : NP -> Adv -> NP ; -- 23. John in Paris
-- A conjunction can be formed both from two noun phrases and a longer
-- list of them.
mkNP : Conj -> NP -> NP -> NP ; -- 22. John and I
mkNP : Conj -> ListNP -> NP ; -- 23. John, I, and that
} ;
--3 Det, determiners
-- A determiner is either a singular or a plural one.
-- Both have a quantifier and an optional ordinal; the plural
-- determiner also has an optional numeral.
mkDet : overload {
mkDet : Quant -> Det ; -- 1. this
mkDet : Quant -> (Ord) -> Det ; -- 2. this first
mkDet : Quant -> Num -> Det ; -- 3. these
mkDet : Quant -> Num -> (Ord) -> Det ; -- 4. these five best
-- Quantifiers that have both singular and plural forms are by default used as
-- singular determiners. If a numeral is added, the plural form is chosen.
mkDet : Quant -> Det ; -- 5. this
mkDet : Quant -> Num -> Det ; -- 6. these five
-- Numerals, their special cases integers and digits, and possessive pronouns can be
-- used as determiners.
mkDet : Card -> Det ; -- 7. almost twenty
mkDet : Numeral -> Det ; -- 8. five
mkDet : Digits -> Det ; -- 9. 51
mkDet : Pron -> Det ; -- 10. my (house)
mkDet : Pron -> Num -> Det -- 11. my (houses)
} ;
--3 Art, articles
-- There are definite and indefinite articles.
the_Art : Art ; -- the
a_Art : Art ; -- a
--3 Num, cardinal numerals
-- Numerals can be formed from number words ($Numeral$), their special case digits,
-- and from symbolic integers.
mkNum : overload {
mkNum : Numeral -> Num ; -- 1. twenty
mkNum : Digits -> Num ; -- 2. 51
mkNum : Card -> Num ; -- 3. twenty
-- A numeral can be modified by an adnumeral.
mkNum : AdN -> Card -> Num -- 4. almost ten
} ;
-- Dummy numbers are sometimes to select the grammatical number of a determiner.
sgNum : Num ; -- singular
plNum : Num ; -- plural
--3 Ord, ordinal numerals
-- Just like cardinals, ordinals can be formed from number words ($Numeral$)
-- and from symbolic integers.
mkOrd : overload {
mkOrd : Numeral -> Ord ; -- 1. twentieth
mkOrd : Digits -> Ord ; -- 2. 51st
-- Also adjectives in the superlative form can appear on ordinal positions.
mkOrd : A -> Ord -- 3. best
} ;
--3 AdN, adnumerals
-- Comparison adverbs can be used as adnumerals.
mkAdN : CAdv -> AdN ; -- 1. more than
--3 Numeral, number words
-- Digits and some "round" numbers are here given as shorthands.
n1_Numeral : Numeral ; -- 1. one
n2_Numeral : Numeral ; -- 2. two
n3_Numeral : Numeral ; -- 3. three
n4_Numeral : Numeral ; -- 4. four
n5_Numeral : Numeral ; -- 5. five
n6_Numeral : Numeral ; -- 6. six
n7_Numeral : Numeral ; -- 7. seven
n8_Numeral : Numeral ; -- 8. eight
n9_Numeral : Numeral ; -- 9. nine
n10_Numeral : Numeral ; -- 10. ten
n20_Numeral : Numeral ; -- 11. twenty
n100_Numeral : Numeral ; -- 12. hundred
n1000_Numeral : Numeral ; -- 13. thousand
-- See $Numeral$ for the full set of constructors, and use the category
-- $Digits$ for other numbers from one million.
mkDigits : overload {
mkDigits : Dig -> Digits ; -- 1. 8
mkDigits : Dig -> Digits -> Digits ; -- 2. 876
} ;
n1_Digits : Digits ; -- 1. 1
n2_Digits : Digits ; -- 2. 2
n3_Digits : Digits ; -- 3. 3
n4_Digits : Digits ; -- 4. 4
n5_Digits : Digits ; -- 5. 5
n6_Digits : Digits ; -- 6. 6
n7_Digits : Digits ; -- 7. 7
n8_Digits : Digits ; -- 8. 8
n9_Digits : Digits ; -- 9. 9
n10_Digits : Digits ; -- 10. 10
n20_Digits : Digits ; -- 11. 20
n100_Digits : Digits ; -- 12. 100
n1000_Digits : Digits ; -- 13. 1,000
--3 Dig, single digits
n0_Dig : Dig ; -- 0. 0
n1_Dig : Dig ; -- 1. 1
n2_Dig : Dig ; -- 2. 2
n3_Dig : Dig ; -- 3. 3
n4_Dig : Dig ; -- 4. 4
n5_Dig : Dig ; -- 5. 5
n6_Dig : Dig ; -- 6. 6
n7_Dig : Dig ; -- 7. 7
n8_Dig : Dig ; -- 8. 8
n9_Dig : Dig ; -- 9. 9
--2 Nouns
--3 CN, common noun phrases
mkCN : overload {
-- The most frequent way of forming common noun phrases is from atomic nouns $N$.
mkCN : N -> CN ; -- 1. house
-- Common noun phrases can be formed from relational nouns by providing arguments.
mkCN : N2 -> NP -> CN ; -- 2. mother of John
mkCN : N3 -> NP -> NP -> CN ; -- 3. distance from this city to Paris
-- Relational nouns can also be used without their arguments.
mkCN : N2 -> CN ; -- 4. son
mkCN : N3 -> CN ; -- 5. flight
-- A common noun phrase can be modified by adjectival phrase. We give special
-- cases of this, where one or both of the arguments are atomic.
mkCN : A -> N -> CN ; -- 6. big house
mkCN : A -> CN -> CN ; -- 7. big blue house
mkCN : AP -> N -> CN ; -- 8. very big house
mkCN : AP -> CN -> CN ; -- 9. very big blue house
-- A common noun phrase can be modified by a relative clause or an adverb.
mkCN : N -> RS -> CN ; -- 10. house that John loves
mkCN : CN -> RS -> CN ; -- 11. big house that John loves
mkCN : N -> Adv -> CN ; -- 12. house in the city
mkCN : CN -> Adv -> CN ; -- 13. big house in the city
-- For some nouns it makes sense to modify them by sentences,
-- questions, or infinitives. But syntactically this is possible for
-- all nouns.
mkCN : CN -> S -> CN ; -- 14. rule that John walks
mkCN : CN -> QS -> CN ; -- 15. question if John walks
mkCN : CN -> VP -> CN ; -- 16. reason to walk
-- A noun can be used in apposition to a noun phrase, especially a proper name.
mkCN : N -> NP -> CN ; -- 17. king John
mkCN : CN -> NP -> CN -- 18. old king John
} ;
--2 Adjectives and adverbs
--3 AP, adjectival phrases
mkAP : overload {
-- Adjectival phrases can be formed from atomic adjectives by using the positive form or
-- the comparative with a complement
mkAP : A -> AP ; -- 1. old
mkAP : A -> NP -> AP ; -- 2. older than John
-- Relational adjectives can be used with a complement or a reflexive
mkAP : A2 -> NP -> AP ; -- 3. married to her
mkAP : A2 -> AP ; -- 4. married to myself
-- Some adjectival phrases can take as complements sentences,
-- questions, or infinitives. Syntactically this is possible for
-- all adjectives.
mkAP : AP -> S -> AP ; -- 5. probable that John walks
mkAP : AP -> QS -> AP ; -- 6. uncertain if John walks
mkAP : AP -> VP -> AP ; -- 7. ready to go
-- An adjectival phrase can be modified by an adadjective.
mkAP : AdA -> A -> AP ; -- 8. very old
mkAP : AdA -> AP -> AP ; -- 9. very very old
-- Conjunction can be formed from two or more adjectival phrases.
mkAP : Conj -> AP -> AP -> AP ; -- 10. old and big
mkAP : Conj -> ListAP -> AP ; -- 11. old, big, and warm
} ;
--3 Adv, adverbial phrases
mkAdv : overload {
-- Adverbs can be formed from adjectives.
mkAdv : A -> Adv ; -- 1. warmly
-- Prepositional phrases are treated as adverbs.
mkAdv : Prep -> NP -> Adv ; -- 2. with John
-- Subordinate sentences are treated as adverbs.
mkAdv : Subj -> S -> Adv ; -- 3. when John walks
-- An adjectival adverb can be compared to a noun phrase or a sentence.
mkAdv : CAdv -> A -> NP -> Adv ; -- 4. more warmly than John
mkAdv : CAdv -> A -> S -> Adv ; -- 5. more warmly than John walks
-- Adverbs can be modified by adadjectives.
mkAdv : AdA -> Adv -> Adv ; -- 6. very warmly
-- Conjunction can be formed from two or more adverbial phrases.
mkAdv : Conj -> Adv -> Adv -> Adv ; -- 7. here and now
mkAdv : Conj -> ListAdv -> Adv ; -- 8. with John, here and now
} ;
--2 Questions and relatives
--3 QS, question sentences
mkQS : overload {
-- Just like a sentence $S$ is built from a clause $Cl$,
-- a question sentence $QS$ is built from
-- a question clause $QCl$ by fixing tense, anteriority and polarity.
-- Any of these arguments can be omitted, which results in the
-- default (present, simultaneous, and positive, respectively).
mkQS : QCl -> QS ; -- 1. who walks
mkQS : (Tense) -> (Ant) -> (Pol) -> QCl -> QS ; -- 2. who wouldn't have walked
-- Since 'yes-no' question clauses can be built from clauses (see below),
-- we give a shortcut
-- for building a question sentence directly from a clause, using the defaults
-- present, simultaneous, and positive.
mkQS : Cl -> QS -- 3. does John walk
} ;
--3 QCl, question clauses
mkQCl : overload {
-- 'Yes-no' question clauses are built from 'declarative' clauses.
mkQCl : Cl -> QCl ; -- 1. does John walk
-- 'Wh' questions are built from interrogative pronouns in subject
-- or object position. The former uses a verb phrase; we don't give
-- shortcuts for verb-argument sequences as we do for clauses.
-- The latter uses the 'slash' category of objectless clauses
-- (see below); we give the common special case with a two-place verb.
mkQCl : IP -> VP -> QCl ; -- 2. who walks
mkQCl : IP -> NP -> V2 -> QCl ; -- 3. whom does John love
mkQCl : IP -> ClSlash -> QCl ; -- 4. whom does John love today
-- Adverbial 'wh' questions are built with interrogative adverbials, with the
-- special case of prepositional phrases with interrogative pronouns.
mkQCl : IAdv -> Cl -> QCl ; -- 5. why does John walk
mkQCl : Prep -> IP -> Cl -> QCl ; -- 6. with who does John walk
-- An interrogative adverbial can serve as the complement of a copula.
mkQCl : IAdv -> NP -> QCl ; -- 7. where is John
-- Existentials are a special construction.
mkQCl : IP -> QCl -- 8. what is there
} ;
--3 IP, interrogative pronouns
mkIP : overload {
-- Interrogative pronouns
-- can be formed much like noun phrases, by using interrogative quantifiers.
mkIP : IQuant -> N -> IP ; -- 1. which city
mkIP : IQuant -> (Num) -> CN -> IP ; -- 2. which five big cities
-- An interrogative pronoun can be modified by an adverb.
mkIP : IP -> Adv -> IP -- 3. who in Paris
} ;
-- More interrogative pronouns and determiners can be found in $Structural$.
--3 IAdv, interrogative adverbs.
-- In addition to the interrogative adverbs defined in the $Structural$ lexicon, they
-- can be formed as prepositional phrases from interrogative pronouns.
mkIAdv : Prep -> IP -> IAdv ; -- 1. in which city
-- More interrogative adverbs are given in $Structural$.
--3 RS, relative sentences
-- Just like a sentence $S$ is built from a clause $Cl$,
-- a relative sentence $RS$ is built from
-- a relative clause $RCl$ by fixing the tense, anteriority and polarity.
-- Any of these arguments
-- can be omitted, which results in the default (present, simultaneous,
-- and positive, respectively).
mkRS : overload {
mkRS : RCl -> RS ; -- 1. that walk
mkRS : (Tense) -> (Ant) -> (Pol) -> RCl -> RS -- 2. that wouldn't have walked
} ;
--3 RCl, relative clauses
mkRCl : overload {
-- Relative clauses are built from relative pronouns in subject or object position.
-- The former uses a verb phrase; we don't give
-- shortcuts for verb-argument sequences as we do for clauses.
-- The latter uses the 'slash' category of objectless clauses (see below);
-- we give the common special case with a two-place verb.
mkRCl : RP -> VP -> RCl ; -- 1. that walk
mkRCl : RP -> NP -> V2 -> RCl ; -- 2. which John loves
mkRCl : RP -> ClSlash -> RCl ; -- 3. which John loves today
-- There is a simple 'such that' construction for forming relative
-- clauses from clauses.
mkRCl : Cl -> RCl -- 4. such that John loves her
} ;
--3 RP, relative pronouns
-- There is an atomic relative pronoun
which_RP : RP ; -- 1. which
-- A relative pronoun can be made into a kind of a prepositional phrase.
mkRP : Prep -> NP -> RP -> RP ; -- 2. all the houses in which
--3 ClSlash, objectless sentences
mkClSlash : overload {
-- Objectless sentences are used in questions and relative clauses.
-- The most common way of constructing them is by using a two-place verb
-- with a subject but without an object.
mkClSlash : NP -> V2 -> ClSlash ; -- 1. (whom) John loves
-- The two-place verb can be separated from the subject by a verb-complement verb.
mkClSlash : NP -> VV -> V2 -> ClSlash ; -- 2. (whom) John wants to see
-- The missing object can also be the noun phrase in a prepositional phrase.
mkClSlash : Cl -> Prep -> ClSlash ; -- 3. (with whom) John walks
-- An objectless sentence can be modified by an adverb.
mkClSlash : ClSlash -> Adv -> ClSlash -- 4. (whom) John loves today
} ;
--3 VPSlash, verb phrases missing an object
mkVPSlash : overload {
-- This is the deep level of many-argument predication, permitting extraction.
mkVPSlash : V2 -> VPSlash ; -- 1. (whom) (John) loves
mkVPSlash : V3 -> NP -> VPSlash ; -- 2. (whom) (John) gives an apple
mkVPSlash : V2A -> AP -> VPSlash ; -- 3. (whom) (John) paints red
mkVPSlash : V2Q -> QS -> VPSlash ; -- 4. (whom) (John) asks who sleeps
mkVPSlash : V2S -> S -> VPSlash ; -- 5. (whom) (John) tells that we sleep
mkVPSlash : V2V -> VP -> VPSlash ; -- 6. (whom) (John) forces to sleep
} ;
--2 Lists for coordination
-- The rules in this section are very uniform: a list can be built from two or more
-- expressions of the same category.
--3 ListS, sentence lists
mkListS : overload {
mkListS : S -> S -> ListS ; -- 1. he walks, I run
mkListS : S -> ListS -> ListS -- 2. John walks, I run, you sleep
} ;
--3 ListAdv, adverb lists
mkListAdv : overload {
mkListAdv : Adv -> Adv -> ListAdv ; -- 1. here, now
mkListAdv : Adv -> ListAdv -> ListAdv -- 2. to me, here, now
} ;
--3 ListAP, adjectival phrase lists
mkListAP : overload {
mkListAP : AP -> AP -> ListAP ; -- 1. old, big
mkListAP : AP -> ListAP -> ListAP -- 2. old, big, warm
} ;
--3 ListNP, noun phrase lists
mkListNP : overload {
mkListNP : NP -> NP -> ListNP ; -- 1. John, I
mkListNP : NP -> ListNP -> ListNP -- 2. John, I, that
} ;
--.
-- Definitions
mkAP = overload {
mkAP : A -> AP -- warm
= PositA ;
mkAP : A -> NP -> AP -- warmer than Spain
= ComparA ;
mkAP : A2 -> NP -> AP -- divisible by 2
= ComplA2 ;
mkAP : A2 -> AP -- divisible by itself
= ReflA2 ;
mkAP : AP -> S -> AP -- great that she won
= \ap,s -> SentAP ap (EmbedS s) ;
mkAP : AP -> QS -> AP -- great that she won
= \ap,s -> SentAP ap (EmbedQS s) ;
mkAP : AP -> VP -> AP -- great that she won
= \ap,s -> SentAP ap (EmbedVP s) ;
mkAP : AdA -> A -> AP -- very uncertain
= \x,y -> AdAP x (PositA y) ;
mkAP : AdA -> AP -> AP -- very uncertain
= AdAP ;
mkAP : Conj -> AP -> AP -> AP
= \c,x,y -> ConjAP c (BaseAP x y) ;
mkAP : Conj -> ListAP -> AP
= \c,xy -> ConjAP c xy ;
} ;
mkAdv = overload {
mkAdv : A -> Adv -- quickly
= PositAdvAdj ;
mkAdv : Prep -> NP -> Adv -- in the house
= PrepNP ;
mkAdv : CAdv -> A -> NP -> Adv -- more quickly than John
= ComparAdvAdj ;
mkAdv : CAdv -> A -> S -> Adv -- more quickly than he runs
= ComparAdvAdjS ;
mkAdv : AdA -> Adv -> Adv -- very quickly
= AdAdv ;
mkAdv : Subj -> S -> Adv -- when he arrives
= SubjS ;
mkAdv : Conj -> Adv -> Adv -> Adv
= \c,x,y -> ConjAdv c (BaseAdv x y) ;
mkAdv : Conj -> ListAdv -> Adv
= \c,xy -> ConjAdv c xy ;
} ;
mkCl = overload {
mkCl : NP -> VP -> Cl -- John wants to walk walks
= PredVP ;
mkCl : NP -> V -> Cl -- John walks
= \s,v -> PredVP s (UseV v);
mkCl : NP -> V2 -> NP -> Cl -- John uses it
= \s,v,o -> PredVP s (ComplV2 v o);
mkCl : NP -> V3 -> NP -> NP -> Cl
= \s,v,o,i -> PredVP s (ComplV3 v o i);
mkCl : NP -> VV -> VP -> Cl
= \s,v,vp -> PredVP s (ComplVV v vp) ;
mkCl : NP -> VS -> S -> Cl
= \s,v,p -> PredVP s (ComplVS v p) ;
mkCl : NP -> VQ -> QS -> Cl
= \s,v,q -> PredVP s (ComplVQ v q) ;
mkCl : NP -> VA -> AP -> Cl
= \s,v,q -> PredVP s (ComplVA v q) ;
mkCl : NP -> V2A -> NP -> AP -> Cl
= \s,v,n,q -> PredVP s (ComplV2A v n q) ;
mkCl : NP -> V2S -> NP -> S -> Cl --n14
= \s,v,n,q -> PredVP s (ComplSlash (SlashV2S v q) n) ;
mkCl : NP -> V2Q -> NP -> QS -> Cl --n14
= \s,v,n,q -> PredVP s (ComplSlash (SlashV2Q v q) n) ;
mkCl : NP -> V2V -> NP -> VP -> Cl --n14
= \s,v,n,q -> PredVP s (ComplSlash (SlashV2V v q) n) ;
mkCl : VP -> Cl -- it rains
= ImpersCl ;
mkCl : NP -> RS -> Cl -- it is you who did it
= CleftNP ;
mkCl : Adv -> S -> Cl -- it is yesterday she arrived
= CleftAdv ;
mkCl : N -> Cl -- there is a house
= \y -> ExistNP (DetArtSg IndefArt (UseN y)) ;
mkCl : CN -> Cl -- there is a house
= \y -> ExistNP (DetArtSg IndefArt y) ;
mkCl : NP -> Cl -- there is a house
= ExistNP ;
mkCl : NP -> AP -> Cl -- John is nice and warm
= \x,y -> PredVP x (UseComp (CompAP y)) ;
mkCl : NP -> A -> Cl -- John is warm
= \x,y -> PredVP x (UseComp (CompAP (PositA y))) ;
mkCl : NP -> A -> NP -> Cl -- John is warmer than Mary
= \x,y,z -> PredVP x (UseComp (CompAP (ComparA y z))) ;
mkCl : NP -> A2 -> NP -> Cl -- John is married to Mary
= \x,y,z -> PredVP x (UseComp (CompAP (ComplA2 y z))) ;
mkCl : NP -> NP -> Cl -- John is the man
= \x,y -> PredVP x (UseComp (CompNP y)) ;
mkCl : NP -> CN -> Cl -- John is a man
= \x,y -> PredVP x (UseComp (CompNP (DetArtSg IndefArt y))) ;
mkCl : NP -> N -> Cl -- John is a man
= \x,y -> PredVP x (UseComp (CompNP (DetArtSg IndefArt (UseN y)))) ;
mkCl : NP -> Adv -> Cl -- John is here
= \x,y -> PredVP x (UseComp (CompAdv y)) ;
mkCl : V -> Cl -- it rains
= \v -> ImpersCl (UseV v)
} ;
genericCl : VP -> Cl = GenericCl ;
mkNP = overload {
mkNP : Art -> N -> NP -- the man --n14
= \d,n -> DetArtSg d (UseN n) ;
mkNP : Art -> CN -> NP -- the old man --n14
= DetArtSg ;
mkNP : Art -> Num -> CN -> NP -- the old men --n14
= \d,nu,cn -> case nu.n of {
ParamX.Sg => DetArtSg d cn ;
Pl => DetArtPl d cn
} ;
mkNP : Art -> Num -> N -> NP -- the men --n14
= \d,nu,cn -> case nu.n of {
ParamX.Sg => DetArtSg d (UseN cn) ;
Pl => DetArtPl d (UseN cn)
} ;
mkNP : Art -> Num -> Ord -> CN -> NP -- the five best men --n14
= \d,nu,ord,cn -> DetCN (DetArtOrd d nu ord) (cn) ;
mkNP : Art -> Ord -> CN -> NP -- the best men --n14
= \d,ord,cn -> DetCN (DetArtOrd d sgNum ord) (cn) ;
mkNP : Art -> Card -> CN -> NP -- the five men --n14
= \d,nu,cn -> DetCN (DetArtCard d nu) (cn) ;
mkNP : Art -> Num -> Ord -> N -> NP -- the five best men --n14
= \d,nu,ord,cn -> DetCN (DetArtOrd d nu ord) (UseN cn) ;
mkNP : Art -> Ord -> N -> NP -- the best men --n14
= \d,ord,cn -> DetCN (DetArtOrd d sgNum ord) (UseN cn) ;
mkNP : Art -> Card -> N -> NP -- the five men --n14
= \d,nu,cn -> DetCN (DetArtCard d nu) (UseN cn) ;
mkNP : CN -> NP -- old beer --n14
= MassNP ;
mkNP : N -> NP -- beer --n14
= \n -> MassNP (UseN n) ;
mkNP : Det -> CN -> NP -- the old man
= DetCN ;
mkNP : Det -> N -> NP -- the man
= \d,n -> DetCN d (UseN n) ;
mkNP : Quant -> NP -- this
= \q -> DetNP (DetQuant q sgNum) ;
mkNP : Quant -> Num -> NP -- this
= \q,n -> DetNP (DetQuant q n) ;
mkNP : Det -> NP -- this
= DetNP ;
mkNP : Card -> CN -> NP -- forty-five old men
= \d,n -> DetCN (DetArtCard IndefArt d) n ;
mkNP : Card -> N -> NP -- forty-five men
= \d,n -> DetCN (DetArtCard IndefArt d) (UseN n) ;
mkNP : Quant -> CN -> NP
= \q,n -> DetCN (DetQuant q NumSg) n ;
mkNP : Quant -> N -> NP
= \q,n -> DetCN (DetQuant q NumSg) (UseN n) ;
mkNP : Quant -> Num -> CN -> NP
= \q,nu,n -> DetCN (DetQuant q nu) n ;
mkNP : Quant -> Num -> N -> NP
= \q,nu,n -> DetCN (DetQuant q nu) (UseN n) ;
mkNP : Pron -> CN -> NP
= \p,n -> DetCN (DetQuant (PossPron p) NumSg) n ;
mkNP : Pron -> N -> NP
= \p,n -> DetCN (DetQuant (PossPron p) NumSg) (UseN n) ;
mkNP : Numeral -> CN -> NP -- 51 old men
= \d,n -> DetCN (DetArtCard IndefArt (NumNumeral d)) n ;
mkNP : Numeral -> N -> NP -- 51 men
= \d,n -> DetCN (DetArtCard IndefArt (NumNumeral d)) (UseN n) ;
mkNP : Digits -> CN -> NP -- 51 old men
= \d,n -> DetCN (DetArtCard IndefArt (NumDigits d)) n ;
mkNP : Digits -> N -> NP -- 51 men
= \d,n -> DetCN (DetArtCard IndefArt (NumDigits d)) (UseN n) ;
mkNP : Digit -> CN -> NP ---- obsol
= \d,n -> DetCN (DetArtCard IndefArt (NumNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d))))))) n ;
mkNP : Digit -> N -> NP ---- obsol
= \d,n -> DetCN (DetArtCard IndefArt (NumNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d))))))) (UseN n) ;
mkNP : PN -> NP -- John
= UsePN ;
mkNP : Pron -> NP -- he
= UsePron ;
mkNP : Predet -> NP -> NP -- only the man
= PredetNP ;
mkNP : NP -> V2 -> NP -- the number squared
= PPartNP ;
mkNP : NP -> Adv -> NP -- Paris at midnight
= AdvNP ;
mkNP : Conj -> NP -> NP -> NP
= \c,x,y -> ConjNP c (BaseNP x y) ;
mkNP : Conj -> ListNP -> NP
= \c,xy -> ConjNP c xy ;
-- backward compat
mkNP : QuantSg -> CN -> NP
= \q,n -> DetCN (DetQuant q NumSg) n ;
mkNP : QuantPl -> CN -> NP
= \q,n -> DetCN (DetQuant q NumPl) n ;
} ;
mkDet = overload {
mkDet : Art -> Num -> Ord -> Det -- the five best men --n14
= \d,nu,ord -> (DetArtOrd d nu ord) ;
mkDet : Art -> Ord -> Det -- the best men --n14
= \d,ord -> (DetArtOrd d sgNum ord) ;
mkDet : Art -> Card -> Det -- the five men --n14
= \d,nu -> (DetArtCard d nu) ;
mkDet : Quant -> Ord -> Det -- this best man
= \q,o -> DetQuantOrd q NumSg o ;
mkDet : Quant -> Det -- this man
= \q -> DetQuant q NumSg ;
mkDet : Quant -> Num -> Ord -> Det -- these five best men
= DetQuantOrd ;
mkDet : Quant -> Num -> Det -- these five man
= DetQuant ;
mkDet : Num -> Det -- forty-five men
= DetArtCard IndefArt ;
mkDet : Digits -> Det -- 51 (men)
= \d -> DetArtCard IndefArt (NumDigits d) ;
mkDet : Numeral -> Det --
= \d -> DetArtCard IndefArt (NumNumeral d) ;
mkDet : Pron -> Det -- my (house)
= \p -> DetQuant (PossPron p) NumSg ;
mkDet : Pron -> Num -> Det -- my (houses)
= \p -> DetQuant (PossPron p) ;
} ;
the_Art : Art = DefArt ; -- the
a_Art : Art = IndefArt ; -- a
-- 1.4
-- defSgDet : Det = DetSg (SgQuant DefArt) NoOrd ; -- the (man)
-- defPlDet : Det = DetPl (PlQuant DefArt) NoNum NoOrd ; -- the (man)
-- indefSgDet : Det = DetSg (SgQuant IndefArt) NoOrd ; -- the (man)
-- indefPlDet : Det = DetPl (PlQuant IndefArt) NoNum NoOrd ; -- the (man)
---- obsol
mkQuantSg : Quant -> QuantSg = SgQuant ;
mkQuantPl : Quant -> QuantPl = PlQuant ;
-- defQuant = DefArt ;
-- indefQuant = IndefArt ;
-- massQuant : QuantSg = SgQuant MassDet ;
-- the_QuantSg : QuantSg = SgQuant DefArt ;
-- a_QuantSg : QuantSg = mkQuantSg indefQuant ;
this_QuantSg : QuantSg = mkQuantSg this_Quant ;
that_QuantSg : QuantSg = mkQuantSg that_Quant ;
-- the_QuantPl : QuantPl = mkQuantPl defQuant ;
-- a_QuantPl : QuantPl = mkQuantPl indefQuant ;
these_QuantPl : QuantPl = mkQuantPl this_Quant ;
those_QuantPl : QuantPl = mkQuantPl that_Quant ;
sgNum : Num = NumSg ;
plNum : Num = NumPl ;
mkNum = overload {
mkNum : Numeral -> Num
= \d -> NumCard (NumNumeral d) ;
mkNum : Digits -> Num -- 51
= \d -> NumCard (NumDigits d) ;
mkNum : Digit -> Num
= \d -> NumCard (NumNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d)))))) ;
mkNum : Card -> Num = NumCard ;
mkNum : AdN -> Card -> Num = \a,c -> NumCard (AdNum a c)
} ;
singularNum : Num -- [no num]
= NumSg ;
pluralNum : Num -- [no num]
= NumPl ;
mkOrd = overload {
mkOrd : Numeral -> Ord = OrdNumeral ;
mkOrd : Digits -> Ord -- 51st
= OrdDigits ;
mkOrd : Digit -> Ord -- fifth
= \d ->
OrdNumeral (num (pot2as3 (pot1as2 (pot0as1 (pot0 d))))) ;
mkOrd : A -> Ord -- largest
= OrdSuperl
} ;
n1_Numeral = num (pot2as3 (pot1as2 (pot0as1 pot01))) ;
n2_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n2)))) ;
n3_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n3)))) ;
n4_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n4)))) ;
n5_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n5)))) ;
n6_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n6)))) ;
n7_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n7)))) ;
n8_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n8)))) ;
n9_Numeral = num (pot2as3 (pot1as2 (pot0as1 (pot0 n9)))) ;
n10_Numeral = num (pot2as3 (pot1as2 pot110)) ;
n20_Numeral = num (pot2as3 (pot1as2 (pot1 n2))) ;
n100_Numeral = num (pot2as3 (pot2 pot01)) ;
n1000_Numeral = num (pot3 (pot1as2 (pot0as1 pot01))) ;
n1_Digits = IDig D_1 ;
n2_Digits = IDig D_2 ;
n3_Digits = IDig D_3 ;
n4_Digits = IDig D_4 ;
n5_Digits = IDig D_5 ;
n6_Digits = IDig D_6 ;
n7_Digits = IDig D_7 ;
n8_Digits = IDig D_8 ;
n9_Digits = IDig D_9 ;
n10_Digits = IIDig D_1 (IDig D_0) ;
n20_Digits = IIDig D_2 (IDig D_0) ;
n100_Digits = IIDig D_1 (IIDig D_0 (IDig D_0)) ;
n1000_Digits = IIDig D_1 (IIDig D_0 (IIDig D_0 (IDig D_0))) ;
mkAdN : CAdv -> AdN = AdnCAdv ; -- more (than five)
mkDigits = overload {
mkDigits : Dig -> Digits = IDig ;
mkDigits : Dig -> Digits -> Digits = IIDig ;
} ;
n0_Dig = D_0 ;
n1_Dig = D_1 ;
n2_Dig = D_2 ;
n3_Dig = D_3 ;
n4_Dig = D_4 ;
n5_Dig = D_5 ;
n6_Dig = D_6 ;
n7_Dig = D_7 ;
n8_Dig = D_8 ;
n9_Dig = D_9 ;
mkCN = overload {
mkCN : N -> CN -- house
= UseN ;
mkCN : N2 -> NP -> CN -- son of the king
= ComplN2 ;
mkCN : N3 -> NP -> NP -> CN -- flight from Moscow (to Paris)
= \f,x -> ComplN2 (ComplN3 f x) ;
mkCN : N2 -> CN -- son
= UseN2 ;
mkCN : N3 -> CN -- flight
= \n -> UseN2 (Use2N3 n) ;
mkCN : AP -> CN -> CN -- nice and big blue house
= AdjCN ;
mkCN : AP -> N -> CN -- nice and big house
= \x,y -> AdjCN x (UseN y) ;
mkCN : CN -> AP -> CN -- nice and big blue house
= \x,y -> AdjCN y x ;
mkCN : N -> AP -> CN -- nice and big house
= \x,y -> AdjCN y (UseN x) ;
mkCN : A -> CN -> CN -- big blue house
= \x,y -> AdjCN (PositA x) y;
mkCN : A -> N -> CN -- big house
= \x,y -> AdjCN (PositA x) (UseN y);
mkCN : CN -> RS -> CN -- house that John owns
= RelCN ;
mkCN : N -> RS -> CN -- house that John owns
= \x,y -> RelCN (UseN x) y ;
mkCN : CN -> Adv -> CN -- house on the hill
= AdvCN ;
mkCN : N -> Adv -> CN -- house on the hill
= \x,y -> AdvCN (UseN x) y ;
mkCN : CN -> S -> CN -- fact that John smokes
= \cn,s -> SentCN cn (EmbedS s) ;
mkCN : CN -> QS -> CN -- question if John smokes
= \cn,s -> SentCN cn (EmbedQS s) ;
mkCN : CN -> VP -> CN -- reason to smoke
= \cn,s -> SentCN cn (EmbedVP s) ;
mkCN : CN -> NP -> CN -- number x, numbers x and y
= ApposCN ;
mkCN : N -> NP -> CN -- number x, numbers x and y
= \x,y -> ApposCN (UseN x) y
} ;
mkPhr = overload {
mkPhr : PConj -> Utt -> Voc -> Phr -- But go home my friend
= PhrUtt ;
mkPhr : Utt -> Voc -> Phr
= \u,v -> PhrUtt NoPConj u v ;
mkPhr : PConj -> Utt -> Phr
= \u,v -> PhrUtt u v NoVoc ;
mkPhr : Utt -> Phr -- Go home
= \u -> PhrUtt NoPConj u NoVoc ;
mkPhr : S -> Phr -- I go home
= \s -> PhrUtt NoPConj (UttS s) NoVoc ;
mkPhr : Cl -> Phr -- I go home
= \s -> PhrUtt NoPConj (UttS (UseCl TPres ASimul PPos s)) NoVoc ;
mkPhr : QS -> Phr -- I go home
= \s -> PhrUtt NoPConj (UttQS s) NoVoc ;
mkPhr : Imp -> Phr -- I go home
= \s -> PhrUtt NoPConj (UttImpSg PPos s) NoVoc
} ;
mkPConj : Conj -> PConj = PConjConj ;
noPConj : PConj = NoPConj ;
mkVoc : NP -> Voc = VocNP ;
noVoc : Voc = NoVoc ;
positivePol : Pol = PPos ;
negativePol : Pol = PNeg ;
simultaneousAnt : Ant = ASimul ;
anteriorAnt : Ant = AAnter ; --# notpresent
presentTense : Tense = TPres ;
pastTense : Tense = TPast ; --# notpresent
futureTense : Tense = TFut ; --# notpresent
conditionalTense : Tense = TCond ; --# notpresent
param ImpForm = IFSg | IFPl | IFPol ;
oper
singularImpForm : ImpForm = IFSg ;
pluralImpForm : ImpForm = IFPl ;
politeImpForm : ImpForm = IFPol ;
mkUttImp : ImpForm -> Pol -> Imp -> Utt = \f,p,i -> case f of {
IFSg => UttImpSg p i ;
IFPl => UttImpPl p i ;
IFPol => UttImpPol p i
} ;
mkUtt = overload {
mkUtt : S -> Utt -- John walked
= UttS ;
mkUtt : Cl -> Utt -- John walks
= \c -> UttS (UseCl TPres ASimul PPos c);
mkUtt : QS -> Utt -- is it good
= UttQS ;
mkUtt : ImpForm -> Pol -> Imp -> Utt -- don't help yourselves
= mkUttImp ;
mkUtt : ImpForm -> Imp -> Utt -- help yourselves
= \f -> mkUttImp f PPos ;
mkUtt : Pol -> Imp -> Utt -- (don't) help yourself
= UttImpSg ;
mkUtt : Imp -> Utt -- help yourself
= UttImpSg PPos ;
mkUtt : IP -> Utt -- who
= UttIP ;
mkUtt : IAdv -> Utt -- why
= UttIAdv ;
mkUtt : NP -> Utt -- this man
= UttNP ;
mkUtt : Adv -> Utt -- here
= UttAdv ;
mkUtt : VP -> Utt -- to sleep
= UttVP
} ;
lets_Utt : VP -> Utt = ImpPl1 ;
mkQCl = overload {
mkQCl : Cl -> QCl -- does John walk
= QuestCl ;
mkQCl : IP -> VP -> QCl -- who walks
= QuestVP ;
mkQCl : IP -> ClSlash -> QCl -- who does John love
= QuestSlash ;
mkQCl : IP -> NP -> V2 -> QCl -- who does John love
= \ip,np,v -> QuestSlash ip (SlashVP np (SlashV2a v)) ;
mkQCl : IAdv -> Cl -> QCl -- why does John walk
= QuestIAdv ;
mkQCl : Prep -> IP -> Cl -> QCl -- with whom does John walk
= \p,ip -> QuestIAdv (PrepIP p ip) ;
mkQCl : IAdv -> NP -> QCl -- where is John
= \a -> QuestIComp (CompIAdv a) ;
mkQCl : IP -> QCl -- which houses are there
= ExistIP
} ;
mkIP = overload {
mkIP : IDet -> CN -> IP -- which songs
= IdetCN ;
mkIP : IDet -> N -> IP -- which song
= \i,n -> IdetCN i (UseN n) ;
mkIP : IQuant -> CN -> IP -- which songs
= \i,n -> IdetCN (IdetQuant i NumSg) n ;
mkIP : IQuant -> Num -> CN -> IP -- which songs
= \i,nu,n -> IdetCN (IdetQuant i nu) n ;
mkIP : IQuant -> N -> IP -- which song
= \i,n -> IdetCN (IdetQuant i NumSg) (UseN n) ;
mkIP : IP -> Adv -> IP -- who in Europe
= AdvIP
} ;
whichSg_IDet : IDet = IdetQuant which_IQuant NumSg ;
whichPl_IDet : IDet = IdetQuant which_IQuant NumPl ;
mkIAdv : Prep -> IP -> IAdv = PrepIP ;
mkRCl = overload {
mkRCl : Cl -> RCl -- such that John loves her
= RelCl ;
mkRCl : RP -> VP -> RCl -- who loves John
= RelVP ;
mkRCl : RP -> ClSlash -> RCl -- whom John loves
= RelSlash ;
mkRCl : RP -> NP -> V2 -> RCl -- whom John loves
= \rp,np,v2 -> RelSlash rp (SlashVP np (SlashV2a v2)) ;
} ;
which_RP : RP -- which
= IdRP ;
mkRP : Prep -> NP -> RP -> RP -- all the roots of which
= FunRP
;
mkClSlash = overload {
mkClSlash : NP -> V2 -> ClSlash -- (whom) he sees
= \np,v2 -> SlashVP np (SlashV2a v2) ;
mkClSlash : NP -> VV -> V2 -> ClSlash -- (whom) he wants to see
= \np,vv,v2 -> SlashVP np (SlashVV vv (SlashV2a v2)) ;
mkClSlash : ClSlash -> Adv -> ClSlash -- (whom) he sees tomorrow
= AdvSlash ;
mkClSlash : Cl -> Prep -> ClSlash -- (with whom) he walks
= SlashPrep
} ;
mkImp = overload {
mkImp : VP -> Imp -- go
= ImpVP ;
mkImp : V -> Imp
= \v -> ImpVP (UseV v) ;
mkImp : V2 -> NP -> Imp
= \v,np -> ImpVP (ComplV2 v np)
} ;
mkS = overload {
mkS : Cl -> S
= UseCl TPres ASimul PPos ;
mkS : Tense -> Cl -> S
= \t -> UseCl t ASimul PPos ;
mkS : Ant -> Cl -> S
= \a -> UseCl TPres a PPos ;
mkS : Pol -> Cl -> S
= \p -> UseCl TPres ASimul p ;
mkS : Tense -> Ant -> Cl -> S
= \t,a -> UseCl t a PPos ;
mkS : Tense -> Pol -> Cl -> S
= \t,p -> UseCl t ASimul p ;
mkS : Ant -> Pol -> Cl -> S
= \a,p -> UseCl TPres a p ;
mkS : Tense -> Ant -> Pol -> Cl -> S
= UseCl ;
mkS : Conj -> S -> S -> S
= \c,x,y -> ConjS c (BaseS x y) ;
mkS : Conj -> ListS -> S
= \c,xy -> ConjS c xy ;
mkS : Adv -> S -> S
= AdvS
} ;
mkQS = overload {
mkQS : QCl -> QS
= UseQCl TPres ASimul PPos ;
mkQS : Tense -> QCl -> QS
= \t -> UseQCl t ASimul PPos ;
mkQS : Ant -> QCl -> QS
= \a -> UseQCl TPres a PPos ;
mkQS : Pol -> QCl -> QS
= \p -> UseQCl TPres ASimul p ;
mkQS : Tense -> Ant -> QCl -> QS
= \t,a -> UseQCl t a PPos ;
mkQS : Tense -> Pol -> QCl -> QS
= \t,p -> UseQCl t ASimul p ;
mkQS : Ant -> Pol -> QCl -> QS
= \a,p -> UseQCl TPres a p ;
mkQS : Tense -> Ant -> Pol -> QCl -> QS
= UseQCl ;
mkQS : Cl -> QS
= \x -> UseQCl TPres ASimul PPos (QuestCl x)
} ;
mkRS = overload {
mkRS : RCl -> RS
= UseRCl TPres ASimul PPos ;
mkRS : Tense -> RCl -> RS
= \t -> UseRCl t ASimul PPos ;
mkRS : Ant -> RCl -> RS
= \a -> UseRCl TPres a PPos ;
mkRS : Pol -> RCl -> RS
= \p -> UseRCl TPres ASimul p ;
mkRS : Tense -> Ant -> RCl -> RS
= \t,a -> UseRCl t a PPos ;
mkRS : Tense -> Pol -> RCl -> RS
= \t,p -> UseRCl t ASimul p ;
mkRS : Ant -> Pol -> RCl -> RS
= \a,p -> UseRCl TPres a p ;
mkRS : Tense -> Ant -> Pol -> RCl -> RS
= UseRCl
} ;
param Punct = PFullStop | PExclMark | PQuestMark ;
oper
emptyText : Text = TEmpty ; -- [empty text]
fullStopPunct : Punct = PFullStop ; -- .
questMarkPunct : Punct = PQuestMark ; -- ?
exclMarkPunct : Punct = PExclMark ; -- !
mkText = overload {
mkText : Phr -> Punct -> Text -> Text =
\phr,punct,text -> case punct of {
PFullStop => TFullStop phr text ;
PExclMark => TExclMark phr text ;
PQuestMark => TQuestMark phr text
} ;
mkText : Phr -> Punct -> Text =
\phr,punct -> case punct of {
PFullStop => TFullStop phr TEmpty ;
PExclMark => TExclMark phr TEmpty ;
PQuestMark => TQuestMark phr TEmpty
} ;
mkText : Phr -> Text -- John walks.
= \x -> TFullStop x TEmpty ;
mkText : Utt -> Text
= \u -> TFullStop (PhrUtt NoPConj u NoVoc) TEmpty ;
mkText : S -> Text
= \s -> TFullStop (PhrUtt NoPConj (UttS s) NoVoc) TEmpty;
mkText : Cl -> Text
= \c -> TFullStop (PhrUtt NoPConj (UttS (UseCl TPres ASimul PPos c)) NoVoc) TEmpty;
mkText : QS -> Text
= \q -> TQuestMark (PhrUtt NoPConj (UttQS q) NoVoc) TEmpty ;
mkText : Imp -> Text
= \i -> TExclMark (PhrUtt NoPConj (UttImpSg PPos i) NoVoc) TEmpty;
mkText : Pol -> Imp -> Text
= \p,i -> TExclMark (PhrUtt NoPConj (UttImpSg p i) NoVoc) TEmpty;
mkText : Phr -> Text -> Text -- John walks. ...
= TFullStop ;
mkText : Text -> Text -> Text = \t,u -> {s = t.s ++ u.s ; lock_Text = <>} ;
} ;
mkVP = overload {
mkVP : V -> VP -- sleep
= UseV ;
mkVP : V2 -> NP -> VP -- use it
= ComplV2 ;
mkVP : V3 -> NP -> NP -> VP -- send a message to her
= ComplV3 ;
mkVP : VV -> VP -> VP -- want to run
= ComplVV ;
mkVP : VS -> S -> VP -- know that she runs
= ComplVS ;
mkVP : VQ -> QS -> VP -- ask if she runs
= ComplVQ ;
mkVP : VA -> AP -> VP -- look red
= ComplVA ;
mkVP : V2A -> NP -> AP -> VP -- paint the house red
= ComplV2A ;
mkVP : V2S -> NP -> S -> VP --n14
= \v,n,q -> (ComplSlash (SlashV2S v q) n) ;
mkVP : V2Q -> NP -> QS -> VP --n14
= \v,n,q -> (ComplSlash (SlashV2Q v q) n) ;
mkVP : V2V -> NP -> VP -> VP --n14
= \v,n,q -> (ComplSlash (SlashV2V v q) n) ;
mkVP : A -> VP -- be warm
= \a -> UseComp (CompAP (PositA a)) ;
mkVP : A -> NP -> VP -- John is warmer than Mary
= \y,z -> (UseComp (CompAP (ComparA y z))) ;
mkVP : A2 -> NP -> VP -- John is married to Mary
= \y,z -> (UseComp (CompAP (ComplA2 y z))) ;
mkVP : AP -> VP -- be warm
= \a -> UseComp (CompAP a) ;
mkVP : NP -> VP -- be a man
= \a -> UseComp (CompNP a) ;
mkVP : CN -> VP -- be a man
= \y -> (UseComp (CompNP (DetArtSg IndefArt y))) ;
mkVP : N -> VP -- be a man
= \y -> (UseComp (CompNP (DetArtSg IndefArt (UseN y)))) ;
mkVP : Adv -> VP -- be here
= \a -> UseComp (CompAdv a) ;
mkVP : VP -> Adv -> VP -- sleep here
= AdvVP ;
mkVP : AdV -> VP -> VP -- always sleep
= AdVVP ;
mkVP : VPSlash -> NP -> VP -- always sleep
= ComplSlash ;
mkVP : VPSlash -> VP
= ReflVP
} ;
reflexiveVP : V2 -> VP = \v -> ReflVP (SlashV2a v) ;
mkVPSlash = overload {
mkVPSlash : V2 -> VPSlash -- 1. (whom) (John) loves
= SlashV2a ;
mkVPSlash : V3 -> NP -> VPSlash -- 2. (whom) (John) gives an apple
= Slash2V3 ;
mkVPSlash : V2A -> AP -> VPSlash -- 3. (whom) (John) paints red
= SlashV2A ;
mkVPSlash : V2Q -> QS -> VPSlash -- 4. (whom) (John) asks who sleeps
= SlashV2Q ;
mkVPSlash : V2S -> S -> VPSlash -- 5. (whom) (John) tells that we sleep
= SlashV2S ;
mkVPSlash : V2V -> VP -> VPSlash -- 6. (whom) (John) forces to sleep
= SlashV2V ;
} ;
passiveVP = overload {
passiveVP : V2 -> VP = PassV2 ;
passiveVP : V2 -> NP -> VP = \v,np ->
(AdvVP (PassV2 v) (PrepNP by8agent_Prep np))
} ;
progressiveVP : VP -> VP = ProgrVP ;
mkListS = overload {
mkListS : S -> S -> ListS = BaseS ;
mkListS : S -> ListS -> ListS = ConsS
} ;
mkListAP = overload {
mkListAP : AP -> AP -> ListAP = BaseAP ;
mkListAP : AP -> ListAP -> ListAP = ConsAP
} ;
mkListAdv = overload {
mkListAdv : Adv -> Adv -> ListAdv = BaseAdv ;
mkListAdv : Adv -> ListAdv -> ListAdv = ConsAdv
} ;
mkListNP = overload {
mkListNP : NP -> NP -> ListNP = BaseNP ;
mkListNP : NP -> ListNP -> ListNP = ConsNP
} ;
mkCard = overload {
mkCard : Numeral -> Card
= NumNumeral ;
mkNum : Digits -> Card -- 51
= NumDigits ;
} ;
------------ for backward compatibility
QuantSg : Type = Quant ** {isSg : {}} ;
QuantPl : Type = Quant ** {isPl : {}} ;
SgQuant : Quant -> QuantSg = \q -> q ** {isSg = <>} ;
PlQuant : Quant -> QuantPl = \q -> q ** {isPl = <>} ;
-- Pre-1.4 constants defined
DetSg : Quant -> Ord -> Det = \q -> DetQuantOrd q NumSg ;
DetPl : Quant -> Num -> Ord -> Det = DetQuantOrd ;
ComplV2 : V2 -> NP -> VP = \v,np -> ComplSlash (SlashV2a v) np ;
ComplV2A : V2A -> NP -> AP -> VP = \v,np,ap -> ComplSlash (SlashV2A v ap) np ;
ComplV3 : V3 -> NP -> NP -> VP = \v,o,d -> ComplSlash (Slash2V3 v o) d ;
that_NP : NP = DetNP (DetQuant that_Quant sgNum) ;
this_NP : NP = DetNP (DetQuant this_Quant sgNum) ;
those_NP : NP = DetNP (DetQuant that_Quant plNum) ;
these_NP : NP = DetNP (DetQuant this_Quant plNum) ;
ListAdv : Type = Grammar.ListAdv ;
ListAP : Type = Grammar.ListAP ;
ListNP : Type = Grammar.ListNP ;
ListS : Type = Grammar.ListS ;
{-
-- The definite and indefinite articles are commonly used determiners.
defSgDet : Det ; -- 11. the (house)
defPlDet : Det ; -- 12. the (houses)
indefSgDet : Det ; -- 13. a (house)
indefPlDet : Det ; -- 14. (houses)
--3 QuantSg, singular quantifiers
-- From quantifiers that can have both forms, this constructor
-- builds the singular form.
mkQuantSg : Quant -> QuantSg ; -- 1. this
-- The mass noun phrase constructor is treated as a singular quantifier.
massQuant : QuantSg ; -- 2. (mass terms)
-- More singular quantifiers are available in the $Structural$ module.
-- The following singular cases of quantifiers are often used.
the_QuantSg : QuantSg ; -- 3. the
a_QuantSg : QuantSg ; -- 4. a
this_QuantSg : QuantSg ; -- 5. this
that_QuantSg : QuantSg ; -- 6. that
--3 QuantPl, plural quantifiers
-- From quantifiers that can have both forms, this constructor
-- builds the plural form.
mkQuantPl : Quant -> QuantPl ; -- 1. these
-- More plural quantifiers are available in the $Structural$ module.
-- The following plural cases of quantifiers are often used.
the_QuantPl : QuantPl ; -- 2. the
a_QuantPl : QuantPl ; -- 3. (indefinite plural)
these_QuantPl : QuantPl ; -- 4. these
those_QuantPl : QuantPl ; -- 5. those
-}
}