Lexical function
Encyclopedia
A lexical function is a tool developed within Meaning-Text Theory
Meaning-Text Theory
Meaning–text theory is a theoretical linguistic framework, first put forward in Moscow by Aleksandr Žolkovskij and Igor Mel’čuk, for the construction of models of natural language...

 for the description and systematization of semantic relationships, specifically collocation
Collocation
In corpus linguistics, collocation defines a sequence of words or terms that co-occur more often than would be expected by chance. In phraseology, collocation is a sub-type of phraseme. An example of a phraseological collocation is the expression strong tea...

s and lexical derivation
Derivation (linguistics)
In linguistics, derivation is the process of forming a new word on the basis of an existing word, e.g. happi-ness and un-happy from happy, or determination from determine...

, between particular lexical units (LUs) of a language. LFs are also used in the construction of technical lexica
Lexicon
In linguistics, the lexicon of a language is its vocabulary, including its words and expressions. A lexicon is also a synonym of the word thesaurus. More formally, it is a language's inventory of lexemes. Coined in English 1603, the word "lexicon" derives from the Greek "λεξικόν" , neut...

 (Explanatory Combinatorial Dictionaries
Explanatory Combinatorial Dictionary
A Explanatory Combinatorial Dictionary is a formalized semantically-based lexicon designed to be part of a Meaning-Text linguistic model of a natural language. It contains the set of all minimal lexical signs of a language—that is, its Lexical Units...

) and as abstract nodes in certain types of syntactic representation. Basically, an LF is a function
Function (mathematics)
In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...

 ƒ representing a correspondence ƒ that associates a set ƒ(L) of lexical expressions with an LU L; in f(L), L is the keyword of ƒ, and ƒ(L) = {L´i} is ƒ’s value. Detailed discussions of Lexical Functions are found in Žolkovskij & Mel’čuk 1967, Mel’čuk 1974, 1996, 1998, 2003, 2007, and Wanner (ed.) 1996.

Standard Lexical Functions

Standard LFs form a proper subset
Subset
In mathematics, especially in set theory, a set A is a subset of a set B if A is "contained" inside B. A and B may coincide. The relationship of one set being a subset of another is called inclusion or sometimes containment...

 of normal LFs. A normal LF ƒ is called Standard if and only if it satisfies both following conditions:


1. Broadness of the domain
Function (mathematics)
In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...

 of ƒ: ƒ is defined for a relatively large number of keywords;

2. Diversity of the range
Function (mathematics)
In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...

 of ƒ: ƒ has a relatively large number of expressions as elements of its possible values and these expressions are more or less equitably distributed between different keywords.


Normal LFs that do not satisfy both Conditions 1 and 2, on the one hand, and degenerate LFs, on the other, are called Non-Standard.
An example of a Non-Standard LF is the meaning ‘without addition of dairy product’. It has two expressions in English, a phraseological one—BLACK (with COFFEE: black coffee), and a free one—WITHOUT MILK (tea without milk is not *black tea). This meaning fails Condition 1: it is too specific and applicable only to one beverage. It thus corresponds to a Non-Standard LF.

Simple Standard LFs

1. Syn [Lat. synonymum] = synonym.

Syn(helicopter) = copter, chopper

Syn(telephoneV) = phoneV
2. Anti [Lat. antonymum] = antonym.

3. Convijk [Lat. conversivum] = conversive.
This LF returns for L an LU L´ with the same meaning as L but with its Deep Syntactic Actants (roughly, syntactic arguments) i, j and k permuted —for example, the DSyntAs k, i and j of L are permuted in L´ such that [i→k, j→i, and k→j].

Conv21(include) = belong

Conv231⊃(opinion) = reputation

Conv21(behind) = in front of

Conv21(precede) = follow
4. Gener [Lat. genus] = the closest generic concept for L.
The value of this LF must appear in one of the following two constructions:
1) ‘Gener(L)−ATTR→DER(L)’ = ‘L’ [where DER is any DSynt-derivative, see 6–9 below]; or
2) L, X1, X2, ..., Xn and other (kinds of) Gener(L).

Gener(republic) = state [republican state = republic]

Gener(liquidN) = substance [liquidA substance = liquidN]

Gener(arrestN) = reprisals [arrests and other (kinds of) reprisals]
5. Figur [Lat. figuraliter ‘figuratively’] = standard received metaphor for L.
Figur(fog) = wall [wall of fog ≈ fog]

Figur(rain) = curtain [curtain of rain ≈ rain]

Figur(remorse) = pangs [pangs of remorse ≈ remorse]
6. S0 = Substantival, output N having a congruent meaning to L (which can be of any part of speech except N):
S0(analyze) = analysis
7. A0 = Adjectival, output A having a congruent meaning to L (which can be of any part of speech except A):
A0(city) = urban
8. V0 = Verbal, output V having a congruent meaning to L (which can be of any part of speech except V):
V0(analysis) = analyze
9. Adv0 = Adverbial, output Adv having a congruent meaning to L (which can be of any part of speech except Adv):
Adv0(followV [N]) = after [N]
10. Si = standard name of the i-th (Deep-Syntactic) actant of L.
For the verb TEACH: ‘Person X1 teaches subject Y2 to people Z3

S1(teach) = teacher

S2(teach) = subject/matter [in high school]

S3(teach) = pupil
For the noun LETTER: ‘Letter by person X to person Y about Z’

S1(letter) = author, sender [of the letter]

S2(letter) = addressee [of the letter]

S3(letter) = contents [of the letter]
11. Sinstr = standard name of the instrument used in the situation denoted by L.

Sinstr⊃(shoot) = firearm
Sinstr(murderV,N) = murder weapon
12. Smed = standard name of the means used to bring about the situation denoted by L.

Smed⊃(shoot) = ammunition
13. Smod = standard name of the mode through which the situation denoted by L is realized.

Smod(consider [an issue]) = approach [I consider this issue ... ~ My approach to this issue ...]
14. Sloc = standard name of the location where the situation denoted by L is realized.

Sloc(fightV [two armies]) = battlefield
Sloc(war) = theater (of war)
15. Sres = standard name of the result of the situation denoted by L.
Sres⊃(learn) = knowledge, skills
Sres⊃(explosion) = shockwave
Sres⊃(copyV) = copyN, reproduction
16. Ablei [Lat. habilis ‘able, manageable’] = determining property of the i-th potential DSyntA of L (‘such that it can L easily’/‘such that it can be L-ed easily’):
Able1(cryV) = tearful
Able1(vary) = variable
Able2(prove) = provable
Able2(trustV) = trustworthy
17. Quali [Lat. qualitas] = determining property of the i-th probable DSynt-actant of L (‘such that it is predisposed to L’/‘such that it is predisposed to be L-ed’):
Qual1(cryV/N) = sad
Qual1(laughV/N) = cheerful
Qual2(doubtV/N) = implausible
Qual2(laughV/N) = awkward, absurd
18. Ai = determining property of the i-th DSyntA of L from the viewpoint of its role in the situation ‘L’.
A1 is semantically roughly equivalent to an active participle (≈ ‘which is L-ing’), and A2 to a passive participle (≈ ‘which is being L-ed’):

A1(anger) = in [anger] //angry
A1(speed) = with [a speed of ...]
A2(analyze) = //under analysis
A2(conduct [an orchestra])= //under the baton [of N]
19. Advi = the determining property of the action by the i-th DSyntA of L from the viewpoint of the role of the DSyntAi of L in the situation denoted by L.
Adv1 is semantically roughly equivalent to an active verbal adverb (≈ ‘while L-ing’), and Adv2, to a passive verbal adverb (≈ ‘while being L-ed’):

Adv1(anger) = with [~] //angrily
Adv1(decreaseN,V) = //down [… a decrease of 2.7% = ... down 2.7%.]
Adv2(applause) = to [the ~]
Adv2(bombard) = //under bombardment [They came under heavy bombardment.]
20. Imper [Lat. imperāre ‘[to] command’] = imperative expression meaning ‘do L!’
Imper(shoot) = Fire!
Imper(speak low) = Shhh!
Imper(stop [to a horse]) = Whoa!
21. Result [Lat. resultāre ‘[to] result’] = ‘[to] be the expected result of L’:
Result(buyV) = ownV
Result(lie down) = be lying
Result(have learnt) = know [how], have the necessary skills
22. Centr [Lat. centrum ‘center’] =‘the center/culmination of L’
Syntactically, Centr(L) is a noun that takes the name of L as its DSyntA II: Centr−II→L, etc.

Centr(forest) = the thick [of the ~]
Centr(crisis) = the height [of the ~]
Centr(glory) = summit [of ~]
Centr(life) = prime [of ~]
23. Magn [Lat. magnus ‘big, great’] = ‘very’, ‘to a (very) high degree’, ‘intense(ly)’:
Magn(naked) = stark
Magn(laughV) = heartily; one’s head off
Magn(patience) = infinite
Magn(skinny [person]) = as a rake
24. Ver [Lat. verus ‘real, genuine’] = ‘as it should be’, ‘meeting intended requirements’:
Ver(surprise) = sincere, genuine, unfeigned
Ver(punishment) = well-deserved, just
Ver(instrument) = precise
Ver(walkV) = steadily
25. Bon [Lat. bonus ‘good’] = ‘good’:
Bon(cutV) = neatly, cleanly
Bon(proposal) = tempting
Bon(service) = first-class
Bon(assistance) = invaluable
26. Locin [Lat. locus ‘place’] = preposition governing L and designating a containing spatial location (‘being in’):
Locin(height) = at [a height of ...]
27. Locad [Lat. locus ‘place’] = preposition governing L and designating an entering spatial relation (‘moving into’):
Locad(height) = to [a height of ...]
28. Locab [Lat. locus ‘place’] = preposition governing L and designating an exiting spatial relation (‘moving out of’):
Locab(height) = from [a height of ...]
29. Instr [Lat. instrumentum ‘instrument’] = preposition meaning ‘by means of L’:
Instr(typewriter) = on [ART ~]
Instr(satellite) = via [~]
Instr(mail) = by [~]
Instr(argument) = with [ART ~]
30. Propt [Lat. propter ‘because of’] = preposition meaning ‘because of’/‘as a result of L’:
Propt(fear) = from, out of [~]
Propt(love) = out of [one’s ~ of ...]
31. Operi [Lat. operāri ‘[to] do, carry out’] = a light verb used as part of the expression ‘realize/carry out L':
The DSyntA I of this verb (and its Subject) is the expression that is described in the Government Pattern of L as the i-th DSyntA of L, and Operi’s DSyntA II (= its Primary Object) is L itself.

Oper1(blowN) = [to] deal [ART ~ to N]
Oper1(supportN) = [to] lend [~ to N]
Oper2(blowN) = [to] receive [ART ~ from N]
Oper2(supportN) = [to] receive [~ from N]
32. Funci [Lat. functionāre ‘[to] function’]:
The DSyntA I of this verb (and its Subject) is L itself, and its DSyntA II (its Primary Object) is the i-th DSyntA of L.

Func1(blowN) = comes [from N]
Func2(blowN) = falls [upon N]
If Funci has no object, the subscript 0 is used:

Func0(snowN) = falls
Func0(option) = is open
Func0(preparations) = are under way
Func0(rumors) = circulate
33. Laborij [Lat. labōrāre ‘[to] work, toil’]:
The DSynt-actant I of this verb (and its Subject) is the i-th DSyntA of L, its DSyntA II (its Primary Object) is the j-th DSyntA of L, its DSyntA III (= its Secondary Object) is the j+1-st DSyntA of L, and its further DSyntA (its TertiaryObject) is L itself.

Labor12(interrogation) = [to] subject [N to an ~]
Labor32(leaseN) = [to] grant [N to N on ~]
34. Incep [Lat. incipere] = ‘begin’:
Incep(sleep) = fall asleep
35. Cont [Lat. continuāre] = ‘continue’:
Cont(sleep) = stay asleep
36. Fin [Lat. fīnīre] = ‘cease’:
Fin(sleep) = wake up
37. Caus [Lat. causāre] ‘cause’ [≈ ‘do something so that a situation occurs’]

38. Perm [Lat. permittere] =‘permit/allow’ [≈ ‘do nothing which would cause that a situation does not occur]’

39. Liqu [Lat. *liquidāre] = ‘liquidate’ [≈ ‘do something so that a situation does not occur’]

40. Reali [Lat. realis ‘real’]
Real1(accusation) = [to] prove [ART ~]
Real1(car) = [to] drive [ART ~ ]
Real1(illness) = [to] succumb [to ART ~]
Real2(law) = [to] abide [by ART ~]
Real2(hintN) = [to] take [ART ~]
Real2(demandN) = [to] meet [ART ~]
41. Fact0/i [Lat. factum ‘fact’]
42. Labrealijk [a hybrid of Labor and Real]
43. Involv [Lat. involvere ‘[to] drag along’] = verb meaning ‘[to] involve Y’, ‘[to] affect Y’
Involv links L and the name of a non-participant Y which is affected or acted upon by the situation ‘L’; Y is DSyntA II of Involv, and L is its DSyntA I:

Involv(lightN) = floods [N = Y, e.g. the room]
Involv(snowstorm) = catches [Nhum=Y Locin N], hits [Narea= Y]
44. Manif [Lat. manifestāre ‘[to] manifest’] = verb meaning ‘L manifests itself [≈ becomes apparent] in Y’
The keyword L, a noun, is DSyntA I of Manif, and Y (= in which L manifests itself) is its DSyntA II:

Manif(doubt) = nags
Manif(joy) = lights up [his eyes]
45. Degrad [Lat. degradāre ‘[to] degrade’] = verb meaning ‘[to] degrade’ ≈ ‘[to] become permanently worse or bad’.
Degrad takes its keyword L, which can be any noun, as its DSyntA I.

Degrad(milk) = goes sour
Degrad(meat) = goes off
Degrad(discipline) = weakens
Degrad(house) = becomes dilapidated
46. Son [Lat. sonāre ‘[to] sound’] = verb meaning ‘[to] emit characteristic sound’.
Son also takes its keyword, which most often, but not necessarily, is a concrete noun, as its DSyntA I.

Son(dog) = barks
Son(battle) = rumbles
Son(banknotes) = rustle
Son(wind) = howls

Complex LFs and Configurations of LFs

Simple LFs can be combined to form complex LFs:
AntiMagn(applause) = scattered
IncepOper1(loveN) = [to] fall [in ~]
Adv1Real1(whim) = on [a ~]
Certain expressions (collocations or derivations) can simultaneously realize two LFs, resulting in a configuration of LFs:
[Magn + Oper1](doubt) = [to] be plagued [by ~] (≈ ‘[to] have [= Oper1] strong [= Magn] doubts’)
[Ver + Oper1](health) = [to] have a clean bill [of ~] (≈ ‘[to] have [= Oper1] good [= Ver] health’)

LFs in the lexicon

Lexical Functions play an important part in the lexicon
Lexicon
In linguistics, the lexicon of a language is its vocabulary, including its words and expressions. A lexicon is also a synonym of the word thesaurus. More formally, it is a language's inventory of lexemes. Coined in English 1603, the word "lexicon" derives from the Greek "λεξικόν" , neut...

, which of necessity must include information about the collocational and derivational properties of LUs. In MTT, the LFs for L are included in the entry for L in the Explanatory Combinatorial Dictionary
Explanatory Combinatorial Dictionary
A Explanatory Combinatorial Dictionary is a formalized semantically-based lexicon designed to be part of a Meaning-Text linguistic model of a natural language. It contains the set of all minimal lexical signs of a language—that is, its Lexical Units...

:


REVULSION

Definition

X’s revulsion for Y ≡ ‘X’s (strong) negative feeling about Y caused by X’s perception of Y, similar to what people normally experience when they perceive something that makes them sick and such that it causes that X wants to stop perceiving Y’.


Government Pattern
X = I Y = I
1. N’s
2. Aposs
3. A
1. against N

2. at N

3. for N

4. toward N

1) CII.2 : N denotes something that can be seen or felt

2) CII.4 : N denotes people

[‘C’ stands for ‘column;’ the Roman numeral identifies the column, and the Arabic numberal, the cell in it.]

John’s 〈his〉 revulsion against racism 〈against dismal results of his endeavors〉. John’s 〈his〉 revulsion at the sight of sea food; John’s 〈his〉 revulsion for work 〈for all those killings〉; John’s 〈his〉 revulsion for 〈= toward〉 these scoundrels 〈toward the government〉

Impossible:

John’s 〈his〉 revulsion *at these words [correct expression: ... for these words] [by Constraint 1]

John’s 〈his〉 revulsion *towards these words [by Constraint 2]


Lexical Functions
Syn: distaste; repugnance; repulsion;
    disgust; loathing
  
Anti∩: attraction
Conv21Anti∩: appeal    A1: revulsed
Able2: repulsive    Magn : deep, extreme
AntiMagn : mild    Adv1: in [~]
Propt: from [~]    Oper1: experience, feel [~]
Magn + Oper1: be filled [with ~]    Magn + Labor12: fill [N with ~]
Adv1Manif: with [~]      

Examples
He did it from deep revulsion for the bitterness of the sectarian strife. Any revulsion they might feel from fat-ass bastards they ran up against professionally was ad hominem and not ad genus [A. Lurie]. Mary turned her head away in revulsion. I felt no revulsion for her maternal fantasies, only a practical concern. She met his advances with revulsion. Pam was driven to revulsion (by the sight of the dead animal) 〈*The sight of the dead animal drove Pam to revulsion〉. Revulsion at slaughter cut war short [newspaper heading].

Notes

References
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