Sample usage for semantics¶
Semantics¶
>>> # Setup tests by setting the counter to 0
>>> from nltk.sem import logic
>>> logic._counter._value = 0
>>> import nltk
>>> from nltk.sem import Valuation, Model
>>> v = [('adam', 'b1'), ('betty', 'g1'), ('fido', 'd1'),
... ('girl', set(['g1', 'g2'])), ('boy', set(['b1', 'b2'])),
... ('dog', set(['d1'])),
... ('love', set([('b1', 'g1'), ('b2', 'g2'), ('g1', 'b1'), ('g2', 'b1')]))]
>>> val = Valuation(v)
>>> dom = val.domain
>>> m = Model(dom, val)
Evaluation¶
The top-level method of a Model
instance is evaluate()
, which
assigns a semantic value to expressions of the logic
module, under
an assignment g
:
>>> dom = val.domain
>>> g = nltk.sem.Assignment(dom)
>>> m.evaluate('all x.(boy(x) -> - girl(x))', g)
True
evaluate()
calls a recursive function satisfy()
, which in turn
calls a function i()
to interpret non-logical constants and
individual variables. i()
delegates the interpretation of these to
the the model’s Valuation
and the variable assignment g
respectively. Any atomic expression which cannot be assigned a value
by i
raises an Undefined
exception; this is caught by
evaluate
, which returns the string 'Undefined'
.
>>> m.evaluate('walk(adam)', g, trace=2)
'walk(adam)' is undefined under M, g
'Undefined'
Batch Processing¶
The utility functions interpret_sents()
and evaluate_sents()
are intended to
help with processing multiple sentences. Here’s an example of the first of these:
>>> sents = ['Mary walks']
>>> results = nltk.sem.util.interpret_sents(sents, 'grammars/sample_grammars/sem2.fcfg')
>>> for result in results:
... for (synrep, semrep) in result:
... print(synrep)
(S[SEM=<walk(mary)>]
(NP[-LOC, NUM='sg', SEM=<\P.P(mary)>]
(PropN[-LOC, NUM='sg', SEM=<\P.P(mary)>] Mary))
(VP[NUM='sg', SEM=<\x.walk(x)>]
(IV[NUM='sg', SEM=<\x.walk(x)>, TNS='pres'] walks)))
In order to provide backwards compatibility with ‘legacy’ grammars where the semantics value
is specified with a lowercase
sem
feature, the relevant feature name can be passed to the function using the
semkey
parameter, as shown here:
>>> sents = ['raining']
>>> g = nltk.grammar.FeatureGrammar.fromstring("""
... % start S
... S[sem=<raining>] -> 'raining'
... """)
>>> results = nltk.sem.util.interpret_sents(sents, g, semkey='sem')
>>> for result in results:
... for (synrep, semrep) in result:
... print(semrep)
raining
The function evaluate_sents()
works in a similar manner, but also needs to be
passed a Model
against which the semantic representations are evaluated.
Unit Tests¶
Unit tests for relations and valuations¶
>>> from nltk.sem import *
Relations are sets of tuples, all of the same length.
>>> s1 = set([('d1', 'd2'), ('d1', 'd1'), ('d2', 'd1')])
>>> is_rel(s1)
True
>>> s2 = set([('d1', 'd2'), ('d1', 'd2'), ('d1',)])
>>> is_rel(s2)
Traceback (most recent call last):
. . .
ValueError: Set set([('d1', 'd2'), ('d1',)]) contains sequences of different lengths
>>> s3 = set(['d1', 'd2'])
>>> is_rel(s3)
Traceback (most recent call last):
. . .
ValueError: Set set(['d2', 'd1']) contains sequences of different lengths
>>> s4 = set2rel(s3)
>>> is_rel(s4)
True
>>> is_rel(set())
True
>>> null_binary_rel = set([(None, None)])
>>> is_rel(null_binary_rel)
True
Sets of entities are converted into sets of singleton tuples (containing strings).
>>> sorted(set2rel(s3))
[('d1',), ('d2',)]
>>> sorted(set2rel(set([1,3,5,])))
['1', '3', '5']
>>> set2rel(set()) == set()
True
>>> set2rel(set2rel(s3)) == set2rel(s3)
True
Predication is evaluated by set membership.
>>> ('d1', 'd2') in s1
True
>>> ('d2', 'd2') in s1
False
>>> ('d1',) in s1
False
>>> 'd2' in s1
False
>>> ('d1',) in s4
True
>>> ('d1',) in set()
False
>>> 'd1' in null_binary_rel
False
>>> val = Valuation([('Fido', 'd1'), ('dog', set(['d1', 'd2'])), ('walk', set())])
>>> sorted(val['dog'])
[('d1',), ('d2',)]
>>> val.domain == set(['d1', 'd2'])
True
>>> print(val.symbols)
['Fido', 'dog', 'walk']
Parse a valuation from a string.
>>> v = """
... john => b1
... mary => g1
... suzie => g2
... fido => d1
... tess => d2
... noosa => n
... girl => {g1, g2}
... boy => {b1, b2}
... dog => {d1, d2}
... bark => {d1, d2}
... walk => {b1, g2, d1}
... chase => {(b1, g1), (b2, g1), (g1, d1), (g2, d2)}
... see => {(b1, g1), (b2, d2), (g1, b1),(d2, b1), (g2, n)}
... in => {(b1, n), (b2, n), (d2, n)}
... with => {(b1, g1), (g1, b1), (d1, b1), (b1, d1)}
... """
>>> val = Valuation.fromstring(v)
>>> print(val)
{'bark': set([('d1',), ('d2',)]),
'boy': set([('b1',), ('b2',)]),
'chase': set([('b1', 'g1'), ('g2', 'd2'), ('g1', 'd1'), ('b2', 'g1')]),
'dog': set([('d1',), ('d2',)]),
'fido': 'd1',
'girl': set([('g2',), ('g1',)]),
'in': set([('d2', 'n'), ('b1', 'n'), ('b2', 'n')]),
'john': 'b1',
'mary': 'g1',
'noosa': 'n',
'see': set([('b1', 'g1'), ('b2', 'd2'), ('d2', 'b1'), ('g2', 'n'), ('g1', 'b1')]),
'suzie': 'g2',
'tess': 'd2',
'walk': set([('d1',), ('b1',), ('g2',)]),
'with': set([('b1', 'g1'), ('d1', 'b1'), ('b1', 'd1'), ('g1', 'b1')])}
Unit tests for function argument application in a Model¶
>>> v = [('adam', 'b1'), ('betty', 'g1'), ('fido', 'd1'),\
... ('girl', set(['g1', 'g2'])), ('boy', set(['b1', 'b2'])), ('dog', set(['d1'])),
... ('love', set([('b1', 'g1'), ('b2', 'g2'), ('g1', 'b1'), ('g2', 'b1')])),
... ('kiss', null_binary_rel)]
>>> val = Valuation(v)
>>> dom = val.domain
>>> m = Model(dom, val)
>>> g = Assignment(dom)
>>> sorted(val['boy'])
[('b1',), ('b2',)]
>>> ('b1',) in val['boy']
True
>>> ('g1',) in val['boy']
False
>>> ('foo',) in val['boy']
False
>>> ('b1', 'g1') in val['love']
True
>>> ('b1', 'b1') in val['kiss']
False
>>> sorted(val.domain)
['b1', 'b2', 'd1', 'g1', 'g2']
Model Tests¶
Extension of Lambda expressions
>>> v0 = [('adam', 'b1'), ('betty', 'g1'), ('fido', 'd1'),\
... ('girl', set(['g1', 'g2'])), ('boy', set(['b1', 'b2'])),
... ('dog', set(['d1'])),
... ('love', set([('b1', 'g1'), ('b2', 'g2'), ('g1', 'b1'), ('g2', 'b1')]))]
>>> val0 = Valuation(v0)
>>> dom0 = val0.domain
>>> m0 = Model(dom0, val0)
>>> g0 = Assignment(dom0)
>>> print(m0.evaluate(r'\x. \y. love(x, y)', g0) == {'g2': {'g2': False, 'b2': False, 'b1': True, 'g1': False, 'd1': False}, 'b2': {'g2': True, 'b2': False, 'b1': False, 'g1': False, 'd1': False}, 'b1': {'g2': False, 'b2': False, 'b1': False, 'g1': True, 'd1': False}, 'g1': {'g2': False, 'b2': False, 'b1': True, 'g1': False, 'd1': False}, 'd1': {'g2': False, 'b2': False, 'b1': False, 'g1': False, 'd1': False}})
True
>>> print(m0.evaluate(r'\x. dog(x) (adam)', g0))
False
>>> print(m0.evaluate(r'\x. (dog(x) | boy(x)) (adam)', g0))
True
>>> print(m0.evaluate(r'\x. \y. love(x, y)(fido)', g0) == {'g2': False, 'b2': False, 'b1': False, 'g1': False, 'd1': False})
True
>>> print(m0.evaluate(r'\x. \y. love(x, y)(adam)', g0) == {'g2': False, 'b2': False, 'b1': False, 'g1': True, 'd1': False})
True
>>> print(m0.evaluate(r'\x. \y. love(x, y)(betty)', g0) == {'g2': False, 'b2': False, 'b1': True, 'g1': False, 'd1': False})
True
>>> print(m0.evaluate(r'\x. \y. love(x, y)(betty)(adam)', g0))
True
>>> print(m0.evaluate(r'\x. \y. love(x, y)(betty, adam)', g0))
True
>>> print(m0.evaluate(r'\y. \x. love(x, y)(fido)(adam)', g0))
False
>>> print(m0.evaluate(r'\y. \x. love(x, y)(betty, adam)', g0))
True
>>> print(m0.evaluate(r'\x. exists y. love(x, y)', g0) == {'g2': True, 'b2': True, 'b1': True, 'g1': True, 'd1': False})
True
>>> print(m0.evaluate(r'\z. adam', g0) == {'g2': 'b1', 'b2': 'b1', 'b1': 'b1', 'g1': 'b1', 'd1': 'b1'})
True
>>> print(m0.evaluate(r'\z. love(x, y)', g0) == {'g2': False, 'b2': False, 'b1': False, 'g1': False, 'd1': False})
True
Propositional Model Test¶
>>> tests = [
... ('P & Q', True),
... ('P & R', False),
... ('- P', False),
... ('- R', True),
... ('- - P', True),
... ('- (P & R)', True),
... ('P | R', True),
... ('R | P', True),
... ('R | R', False),
... ('- P | R', False),
... ('P | - P', True),
... ('P -> Q', True),
... ('P -> R', False),
... ('R -> P', True),
... ('P <-> P', True),
... ('R <-> R', True),
... ('P <-> R', False),
... ]
>>> val1 = Valuation([('P', True), ('Q', True), ('R', False)])
>>> dom = set([])
>>> m = Model(dom, val1)
>>> g = Assignment(dom)
>>> for (sent, testvalue) in tests:
... semvalue = m.evaluate(sent, g)
... if semvalue == testvalue:
... print('*', end=' ')
* * * * * * * * * * * * * * * * *
Test of i Function¶
>>> from nltk.sem import Expression
>>> v = [('adam', 'b1'), ('betty', 'g1'), ('fido', 'd1'),
... ('girl', set(['g1', 'g2'])), ('boy', set(['b1', 'b2'])), ('dog', set(['d1'])),
... ('love', set([('b1', 'g1'), ('b2', 'g2'), ('g1', 'b1'), ('g2', 'b1')]))]
>>> val = Valuation(v)
>>> dom = val.domain
>>> m = Model(dom, val)
>>> g = Assignment(dom, [('x', 'b1'), ('y', 'g2')])
>>> exprs = ['adam', 'girl', 'love', 'walks', 'x', 'y', 'z']
>>> parsed_exprs = [Expression.fromstring(e) for e in exprs]
>>> sorted_set = lambda x: sorted(x) if isinstance(x, set) else x
>>> for parsed in parsed_exprs:
... try:
... print("'%s' gets value %s" % (parsed, sorted_set(m.i(parsed, g))))
... except Undefined:
... print("'%s' is Undefined" % parsed)
'adam' gets value b1
'girl' gets value [('g1',), ('g2',)]
'love' gets value [('b1', 'g1'), ('b2', 'g2'), ('g1', 'b1'), ('g2', 'b1')]
'walks' is Undefined
'x' gets value b1
'y' gets value g2
'z' is Undefined
Test for formulas in Model¶
>>> tests = [
... ('love(adam, betty)', True),
... ('love(adam, sue)', 'Undefined'),
... ('dog(fido)', True),
... ('- dog(fido)', False),
... ('- - dog(fido)', True),
... ('- dog(sue)', 'Undefined'),
... ('dog(fido) & boy(adam)', True),
... ('- (dog(fido) & boy(adam))', False),
... ('- dog(fido) & boy(adam)', False),
... ('dog(fido) | boy(adam)', True),
... ('- (dog(fido) | boy(adam))', False),
... ('- dog(fido) | boy(adam)', True),
... ('- dog(fido) | - boy(adam)', False),
... ('dog(fido) -> boy(adam)', True),
... ('- (dog(fido) -> boy(adam))', False),
... ('- dog(fido) -> boy(adam)', True),
... ('exists x . love(adam, x)', True),
... ('all x . love(adam, x)', False),
... ('fido = fido', True),
... ('exists x . all y. love(x, y)', False),
... ('exists x . (x = fido)', True),
... ('all x . (dog(x) | - dog(x))', True),
... ('adam = mia', 'Undefined'),
... ('\\x. (boy(x) | girl(x))', {'g2': True, 'b2': True, 'b1': True, 'g1': True, 'd1': False}),
... ('\\x. exists y. (boy(x) & love(x, y))', {'g2': False, 'b2': True, 'b1': True, 'g1': False, 'd1': False}),
... ('exists z1. boy(z1)', True),
... ('exists x. (boy(x) & - (x = adam))', True),
... ('exists x. (boy(x) & all y. love(y, x))', False),
... ('all x. (boy(x) | girl(x))', False),
... ('all x. (girl(x) -> exists y. boy(y) & love(x, y))', False),
... ('exists x. (boy(x) & all y. (girl(y) -> love(y, x)))', True),
... ('exists x. (boy(x) & all y. (girl(y) -> love(x, y)))', False),
... ('all x. (dog(x) -> - girl(x))', True),
... ('exists x. exists y. (love(x, y) & love(x, y))', True),
... ]
>>> for (sent, testvalue) in tests:
... semvalue = m.evaluate(sent, g)
... if semvalue == testvalue:
... print('*', end=' ')
... else:
... print(sent, semvalue)
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
Satisfier Tests¶
>>> formulas = [
... 'boy(x)',
... '(x = x)',
... '(boy(x) | girl(x))',
... '(boy(x) & girl(x))',
... 'love(adam, x)',
... 'love(x, adam)',
... '- (x = adam)',
... 'exists z22. love(x, z22)',
... 'exists y. love(y, x)',
... 'all y. (girl(y) -> love(x, y))',
... 'all y. (girl(y) -> love(y, x))',
... 'all y. (girl(y) -> (boy(x) & love(y, x)))',
... 'boy(x) & all y. (girl(y) -> love(x, y))',
... 'boy(x) & all y. (girl(y) -> love(y, x))',
... 'boy(x) & exists y. (girl(y) & love(y, x))',
... 'girl(x) -> dog(x)',
... 'all y. (dog(y) -> (x = y))',
... '- exists y. love(y, x)',
... 'exists y. (love(adam, y) & love(y, x))'
... ]
>>> g.purge()
>>> g.add('x', 'b1')
{'x': 'b1'}
>>> for f in formulas:
... try:
... print("'%s' gets value: %s" % (f, m.evaluate(f, g)))
... except Undefined:
... print("'%s' is Undefined" % f)
'boy(x)' gets value: True
'(x = x)' gets value: True
'(boy(x) | girl(x))' gets value: True
'(boy(x) & girl(x))' gets value: False
'love(adam, x)' gets value: False
'love(x, adam)' gets value: False
'- (x = adam)' gets value: False
'exists z22. love(x, z22)' gets value: True
'exists y. love(y, x)' gets value: True
'all y. (girl(y) -> love(x, y))' gets value: False
'all y. (girl(y) -> love(y, x))' gets value: True
'all y. (girl(y) -> (boy(x) & love(y, x)))' gets value: True
'boy(x) & all y. (girl(y) -> love(x, y))' gets value: False
'boy(x) & all y. (girl(y) -> love(y, x))' gets value: True
'boy(x) & exists y. (girl(y) & love(y, x))' gets value: True
'girl(x) -> dog(x)' gets value: True
'all y. (dog(y) -> (x = y))' gets value: False
'- exists y. love(y, x)' gets value: False
'exists y. (love(adam, y) & love(y, x))' gets value: True
>>> from nltk.sem import Expression
>>> for fmla in formulas:
... p = Expression.fromstring(fmla)
... g.purge()
... print("Satisfiers of '%s':\n\t%s" % (p, sorted(m.satisfiers(p, 'x', g))))
Satisfiers of 'boy(x)':
['b1', 'b2']
Satisfiers of '(x = x)':
['b1', 'b2', 'd1', 'g1', 'g2']
Satisfiers of '(boy(x) | girl(x))':
['b1', 'b2', 'g1', 'g2']
Satisfiers of '(boy(x) & girl(x))':
[]
Satisfiers of 'love(adam,x)':
['g1']
Satisfiers of 'love(x,adam)':
['g1', 'g2']
Satisfiers of '-(x = adam)':
['b2', 'd1', 'g1', 'g2']
Satisfiers of 'exists z22.love(x,z22)':
['b1', 'b2', 'g1', 'g2']
Satisfiers of 'exists y.love(y,x)':
['b1', 'g1', 'g2']
Satisfiers of 'all y.(girl(y) -> love(x,y))':
[]
Satisfiers of 'all y.(girl(y) -> love(y,x))':
['b1']
Satisfiers of 'all y.(girl(y) -> (boy(x) & love(y,x)))':
['b1']
Satisfiers of '(boy(x) & all y.(girl(y) -> love(x,y)))':
[]
Satisfiers of '(boy(x) & all y.(girl(y) -> love(y,x)))':
['b1']
Satisfiers of '(boy(x) & exists y.(girl(y) & love(y,x)))':
['b1']
Satisfiers of '(girl(x) -> dog(x))':
['b1', 'b2', 'd1']
Satisfiers of 'all y.(dog(y) -> (x = y))':
['d1']
Satisfiers of '-exists y.love(y,x)':
['b2', 'd1']
Satisfiers of 'exists y.(love(adam,y) & love(y,x))':
['b1']
Tests based on the Blackburn & Bos testsuite¶
>>> v1 = [('jules', 'd1'), ('vincent', 'd2'), ('pumpkin', 'd3'),
... ('honey_bunny', 'd4'), ('yolanda', 'd5'),
... ('customer', set(['d1', 'd2'])),
... ('robber', set(['d3', 'd4'])),
... ('love', set([('d3', 'd4')]))]
>>> val1 = Valuation(v1)
>>> dom1 = val1.domain
>>> m1 = Model(dom1, val1)
>>> g1 = Assignment(dom1)
>>> v2 = [('jules', 'd1'), ('vincent', 'd2'), ('pumpkin', 'd3'),
... ('honey_bunny', 'd4'), ('yolanda', 'd4'),
... ('customer', set(['d1', 'd2', 'd5', 'd6'])),
... ('robber', set(['d3', 'd4'])),
... ('love', set([(None, None)]))]
>>> val2 = Valuation(v2)
>>> dom2 = set(['d1', 'd2', 'd3', 'd4', 'd5', 'd6'])
>>> m2 = Model(dom2, val2)
>>> g2 = Assignment(dom2)
>>> g21 = Assignment(dom2)
>>> g21.add('y', 'd3')
{'y': 'd3'}
>>> v3 = [('mia', 'd1'), ('jody', 'd2'), ('jules', 'd3'),
... ('vincent', 'd4'),
... ('woman', set(['d1', 'd2'])), ('man', set(['d3', 'd4'])),
... ('joke', set(['d5', 'd6'])), ('episode', set(['d7', 'd8'])),
... ('in', set([('d5', 'd7'), ('d5', 'd8')])),
... ('tell', set([('d1', 'd5'), ('d2', 'd6')]))]
>>> val3 = Valuation(v3)
>>> dom3 = set(['d1', 'd2', 'd3', 'd4', 'd5', 'd6', 'd7', 'd8'])
>>> m3 = Model(dom3, val3)
>>> g3 = Assignment(dom3)
>>> tests = [
... ('exists x. robber(x)', m1, g1, True),
... ('exists x. exists y. love(y, x)', m1, g1, True),
... ('exists x0. exists x1. love(x1, x0)', m2, g2, False),
... ('all x. all y. love(y, x)', m2, g2, False),
... ('- (all x. all y. love(y, x))', m2, g2, True),
... ('all x. all y. - love(y, x)', m2, g2, True),
... ('yolanda = honey_bunny', m2, g2, True),
... ('mia = honey_bunny', m2, g2, 'Undefined'),
... ('- (yolanda = honey_bunny)', m2, g2, False),
... ('- (mia = honey_bunny)', m2, g2, 'Undefined'),
... ('all x. (robber(x) | customer(x))', m2, g2, True),
... ('- (all x. (robber(x) | customer(x)))', m2, g2, False),
... ('(robber(x) | customer(x))', m2, g2, 'Undefined'),
... ('(robber(y) | customer(y))', m2, g21, True),
... ('exists x. (man(x) & exists x. woman(x))', m3, g3, True),
... ('exists x. (man(x) & exists x. woman(x))', m3, g3, True),
... ('- exists x. woman(x)', m3, g3, False),
... ('exists x. (tasty(x) & burger(x))', m3, g3, 'Undefined'),
... ('- exists x. (tasty(x) & burger(x))', m3, g3, 'Undefined'),
... ('exists x. (man(x) & - exists y. woman(y))', m3, g3, False),
... ('exists x. (man(x) & - exists x. woman(x))', m3, g3, False),
... ('exists x. (woman(x) & - exists x. customer(x))', m2, g2, 'Undefined'),
... ]
>>> for item in tests:
... sentence, model, g, testvalue = item
... semvalue = model.evaluate(sentence, g)
... if semvalue == testvalue:
... print('*', end=' ')
... g.purge()
* * * * * * * * * * * * * * * * * * * * * *
Tests for mapping from syntax to semantics¶
Load a valuation from a file.
>>> import nltk.data
>>> from nltk.sem.util import parse_sents
>>> val = nltk.data.load('grammars/sample_grammars/valuation1.val')
>>> dom = val.domain
>>> m = Model(dom, val)
>>> g = Assignment(dom)
>>> gramfile = 'grammars/sample_grammars/sem2.fcfg'
>>> inputs = ['John sees a girl', 'every dog barks']
>>> parses = parse_sents(inputs, gramfile)
>>> for sent, trees in zip(inputs, parses):
... print()
... print("Sentence: %s" % sent)
... for tree in trees:
... print("Parse:\n %s" %tree)
... print("Semantics: %s" % root_semrep(tree))
Sentence: John sees a girl
Parse:
(S[SEM=<exists x.(girl(x) & see(john,x))>]
(NP[-LOC, NUM='sg', SEM=<\P.P(john)>]
(PropN[-LOC, NUM='sg', SEM=<\P.P(john)>] John))
(VP[NUM='sg', SEM=<\y.exists x.(girl(x) & see(y,x))>]
(TV[NUM='sg', SEM=<\X y.X(\x.see(y,x))>, TNS='pres'] sees)
(NP[NUM='sg', SEM=<\Q.exists x.(girl(x) & Q(x))>]
(Det[NUM='sg', SEM=<\P Q.exists x.(P(x) & Q(x))>] a)
(Nom[NUM='sg', SEM=<\x.girl(x)>]
(N[NUM='sg', SEM=<\x.girl(x)>] girl)))))
Semantics: exists x.(girl(x) & see(john,x))
Sentence: every dog barks
Parse:
(S[SEM=<all x.(dog(x) -> bark(x))>]
(NP[NUM='sg', SEM=<\Q.all x.(dog(x) -> Q(x))>]
(Det[NUM='sg', SEM=<\P Q.all x.(P(x) -> Q(x))>] every)
(Nom[NUM='sg', SEM=<\x.dog(x)>]
(N[NUM='sg', SEM=<\x.dog(x)>] dog)))
(VP[NUM='sg', SEM=<\x.bark(x)>]
(IV[NUM='sg', SEM=<\x.bark(x)>, TNS='pres'] barks)))
Semantics: all x.(dog(x) -> bark(x))
>>> sent = "every dog barks"
>>> result = nltk.sem.util.interpret_sents([sent], gramfile)[0]
>>> for (syntree, semrep) in result:
... print(syntree)
... print()
... print(semrep)
(S[SEM=<all x.(dog(x) -> bark(x))>]
(NP[NUM='sg', SEM=<\Q.all x.(dog(x) -> Q(x))>]
(Det[NUM='sg', SEM=<\P Q.all x.(P(x) -> Q(x))>] every)
(Nom[NUM='sg', SEM=<\x.dog(x)>]
(N[NUM='sg', SEM=<\x.dog(x)>] dog)))
(VP[NUM='sg', SEM=<\x.bark(x)>]
(IV[NUM='sg', SEM=<\x.bark(x)>, TNS='pres'] barks)))
all x.(dog(x) -> bark(x))
>>> result = nltk.sem.util.evaluate_sents([sent], gramfile, m, g)[0]
>>> for (syntree, semrel, value) in result:
... print(syntree)
... print()
... print(semrep)
... print()
... print(value)
(S[SEM=<all x.(dog(x) -> bark(x))>]
(NP[NUM='sg', SEM=<\Q.all x.(dog(x) -> Q(x))>]
(Det[NUM='sg', SEM=<\P Q.all x.(P(x) -> Q(x))>] every)
(Nom[NUM='sg', SEM=<\x.dog(x)>]
(N[NUM='sg', SEM=<\x.dog(x)>] dog)))
(VP[NUM='sg', SEM=<\x.bark(x)>]
(IV[NUM='sg', SEM=<\x.bark(x)>, TNS='pres'] barks)))
all x.(dog(x) -> bark(x))
True
>>> sents = ['Mary walks', 'John sees a dog']
>>> results = nltk.sem.util.interpret_sents(sents, 'grammars/sample_grammars/sem2.fcfg')
>>> for result in results:
... for (synrep, semrep) in result:
... print(synrep)
(S[SEM=<walk(mary)>]
(NP[-LOC, NUM='sg', SEM=<\P.P(mary)>]
(PropN[-LOC, NUM='sg', SEM=<\P.P(mary)>] Mary))
(VP[NUM='sg', SEM=<\x.walk(x)>]
(IV[NUM='sg', SEM=<\x.walk(x)>, TNS='pres'] walks)))
(S[SEM=<exists x.(dog(x) & see(john,x))>]
(NP[-LOC, NUM='sg', SEM=<\P.P(john)>]
(PropN[-LOC, NUM='sg', SEM=<\P.P(john)>] John))
(VP[NUM='sg', SEM=<\y.exists x.(dog(x) & see(y,x))>]
(TV[NUM='sg', SEM=<\X y.X(\x.see(y,x))>, TNS='pres'] sees)
(NP[NUM='sg', SEM=<\Q.exists x.(dog(x) & Q(x))>]
(Det[NUM='sg', SEM=<\P Q.exists x.(P(x) & Q(x))>] a)
(Nom[NUM='sg', SEM=<\x.dog(x)>]
(N[NUM='sg', SEM=<\x.dog(x)>] dog)))))
Cooper Storage¶
>>> from nltk.sem import cooper_storage as cs
>>> sentence = 'every girl chases a dog'
>>> trees = cs.parse_with_bindops(sentence, grammar='grammars/book_grammars/storage.fcfg')
>>> semrep = trees[0].label()['SEM']
>>> cs_semrep = cs.CooperStore(semrep)
>>> print(cs_semrep.core)
chase(z2,z4)
>>> for bo in cs_semrep.store:
... print(bo)
bo(\P.all x.(girl(x) -> P(x)),z2)
bo(\P.exists x.(dog(x) & P(x)),z4)
>>> cs_semrep.s_retrieve(trace=True)
Permutation 1
(\P.all x.(girl(x) -> P(x)))(\z2.chase(z2,z4))
(\P.exists x.(dog(x) & P(x)))(\z4.all x.(girl(x) -> chase(x,z4)))
Permutation 2
(\P.exists x.(dog(x) & P(x)))(\z4.chase(z2,z4))
(\P.all x.(girl(x) -> P(x)))(\z2.exists x.(dog(x) & chase(z2,x)))
>>> for reading in cs_semrep.readings:
... print(reading)
exists x.(dog(x) & all z3.(girl(z3) -> chase(z3,x)))
all x.(girl(x) -> exists z4.(dog(z4) & chase(x,z4)))