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example-types.py
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#sys.path.append('')
from ttrtypes import Type, BType, PType, Pred, MeetType, JoinType, ListType, \
SingletonType, HypObj, LazyObj, FunType, RecType, Fun, Ty, Re, RecTy, Possibility, AbsPath, TTRString, TTRStringType, KPlusStringType
from records import Rec
from utils import show, example, ttrace, nottrace, ttracing
Ind = BType('Ind')
Ind.judge('j')
Ind.judge('k')
Ind.judge('l')
Ind.judge('m')
print(Ind.judge('j'))
print(Ind.judge('n'))
print(Ind.witness_cache)
print(Ind.query('h'))
print(Ind.create())
run = Pred('run',[Ind])
p = PType(run,['j'])
print(show(p))
print(p.validate())
p.create()
print(p.witness_cache)
print(Ind.judge_nonspec())
print(p.query_nonspec())
print(p.judge_nonspec())
man = Pred('man',[Ind])
manj = PType(man,['j'])
manj.create()
print(manj.witness_cache)
T1 = Type()
T2 = Type()
T1.judge('a')
T2.judge('a')
T1.judge('b')
T = MeetType(T1,T2)
print(T.query('a'))
print(T.query('b'))
print(T.judge_nonspec())
T11 = Type()
T21 = Type()
T31 = MeetType(T11,T21)
print(T31.judge_nonspec())
print(T31.witness_cache)
print(T11.witness_cache)
print(T21.witness_cache)
print(T31.create())
T3 = JoinType(T1,T2)
print(T3.query('a'))
print(T3.query('b'))
print(T3.create())
print(T3.witness_cache)
x = HypObj([Ind])
print(show(x.types))
print(x.validate())
T4 = Type()
x1 = T4.create_hypobj()
print(show(x1.types))
x2 = T.create_hypobj()
print(show(x2.types))
print(T1.query(x2))
print(T1.subtype_of(T1))
print(T.subtype_of(T1))
print(T1.subtype_of(T3))
print(T3.subtype_of(T1))
print(T.subtype_of(T3))
ttrace()
T.learn_witness_condition(lambda x: x)
nottrace()
f = Fun('x',Ind,'x')
print(f.app('j'))
IndToInd = FunType(Ind,Ind)
print(IndToInd.query(f))
print(IndToInd.query_nonspec()) # Perhaps function types should be non-empty if their domain and range types are non-empty or if it's not the case that: the domain type is empty and the range type is non-empty (material conditional)
a = IndToInd.create_hypobj()
print(show(a))
print(f.validate_arg('j'))
print(f.validate_arg('x'))
f1 = Fun('x',Ind,PType(run,['x']))
print(f1.show())
p1 = f1.app('j')
print(show(p1))
p1c = f1.appc('j')
print(show(p1c))
ttrace()
print(show(f1.appc('x')))
nottrace()
print(Ty.query(T))
print(Ty.query(Ty))
print(Ty.query(p1))
print(Ty.query_nonspec()) # Presumably this should be True since at least Ty.query(Ty) returns True
ttrace()
Ty.learn_witness_condition(lambda x: x)
nottrace()
IndToTy = FunType(Ind,Ty)
print(IndToTy.query(f1))
print(IndToTy.query(f))
f2 = Fun('x',Ind,PType(man,['x']))
print(show(f2))
love = Pred('love',[Ind,Ind])
f3 = Fun('x',Ind,Fun('y',Ind,PType(love,['x','y'])))
p2 = f3.app('j').app('m')
print(show(p2))
p3 = Fun('x',Ind,Fun('y',Ind,PType(love,['x','y'])).app('j')).app('m')
print(show(p3))
ListInd = ListType(Ind)
print(ListInd.query(['j','k']))
print(show(ListInd))
print(ListInd.query([]))
Ind_j = SingletonType(Ind,'j')
print(Ind_j.query('j'))
print(Ind_j.query('k'))
print(Ind_j.query('x'))
print(show(Ind_j))
Ind_jk = SingletonType(ListType(Ind),['j']+['k'])
print(show(Ind_jk))
print(Ind_jk.query(['j','k']))
Ind_appk = SingletonType(Ind,Fun('x',Ind,'j').app('k'))
print(show(Ind_appk))
print(Ind_appk.query('j'))
print(Fun('x',Ind,Ind).app('j').query('k'))
print(Fun('x',Ind,PType(man,['x'])).app('j').query_nonspec())
print(show(Fun('x',Ind,PType(man,['x'])).app('j')))
print(show(manj))
print(manj.query_nonspec())
M = Possibility('M')
manj.in_poss(M)
print(Fun('x',Ind,PType(man,['x'])).app('j').in_poss(M).query_nonspec())
print(show(M))
print(Ty.query(RecType({'x':Ind})))
print(RecType({'x':Ind}).query(Rec({'x':'j'})))
print(RecType({'x':Ind}).query(Rec({'x':'j', 'y':'k','z':'e1'})))
print(RecType({'x':Ind, 'y':Ind}).query(Rec({'x':'j'}))) #False
print(RecTy.query(RecType({'x':Ind,
'c':(Fun('v',Ind,PType(man,['v'])), ['x'])})))
T_man = RecType({'x':Ind, 'c':(Fun('v',Ind,PType(man,['v'])), ['x'])})
print(T_man.query(Rec({'x':'j', 'c':'_e1'})))
Ind.in_poss(M)
T_man.in_poss(M)
print(show(M))
print(T_man.query(Rec({'x':'j', 'c':'_e1'})))
print(RecType({'x':Ind, \
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x'])})
.in_poss(M)
.query(Rec({'x':'j',
'y':'j',
'c':'e1'})))
print(show(T_man))
print(show(T_man.create()))
print(show(M))
print(T_man.query(T_man.create()))
print(RecTy.query(RecType({'x':Ind,
'c': RecType({'c': (Fun('v',Ind,PType(man,['v'])), ['x'])})}))) #True, even though the path in the dependent field is not defined (too deeply embedded)
print(T_man.subtype_of(T_man))
print(RecType({'x':Ind,
'c': (Fun('v',Ind,PType(man,['v'])), ['x'])}).subtype_of(Re))
print(RecType({'x':Ind,
'c': RecType({'c': (Fun('v',Ind,PType(man,['v'])), ['x'])})})
.subtype_of(Re)) #returns an error (but also True for some reason)
print(show(RecType({'x':Ind,
'c': RecType({'c': (Fun('v',Ind,PType(man,['v'])), ['x'])})})))
print(RecType({'x':Ind,
'c': RecType({'c': (Fun('v',Ind,PType(man,['v'])), ['x'])})})
.validate())
# False. This would have been True in the Oz implementation since
# paths always started from the top of the record type. Now paths
# start in the record type in which they occur.
print(T_man.validate())
print(RecType({'x':Ind,
'e':(Fun('v',Ind,RecType({'e':PType(man,['v'])})), ['x'])})
.validate())
# True. Here the function is at the right level.
print(RecType({'x':Ind,
'e':(Fun('v',Ind,RecType({'e':PType(man,['v'])})), ['x'])})
.in_poss(M)
.query(Rec({'x':'j',
'y':'j',
'e':Rec({'e':'e1'})}))) # False. No 'y' in the type
print(RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x'])})
.in_poss(M)
.query(Rec({'x':'j',
'y':'j',
'e':Rec({'e':'_e1'})})))
print(RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e':(Fun('v',Ind,RecType({'e':PType(man,['v'])})), ['y'])})
.in_poss(M).query(Rec({'x':'j',
'y':'j',
'e':Rec({'e':'_e1'})})))
print(show(RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e':(Fun('v',Ind,RecType({'e':PType(man,['v'])})), ['y'])})
.in_poss(M)
.create()))
print(RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e':(Fun('v',Ind,RecType({'e':PType(man,['v'])})), ['y'])})
.in_poss(M)
.judge(Rec({'x':'j',
'y':'j',
'e':Rec({'e':'_e1'})})))
T_a_man = RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e':(Fun('v',Ind,RecType({'e':PType(man,['v'])})), ['y'])})
T_a_man.in_poss(M).judge(Rec({'x':'j',
'y':'j',
'e':Rec({'e':'_e1'})}))
print(show(T_a_man.witness_cache))
print(RecType({'x':Ind,
'y':Ind})
.subtype_of(RecType({'x':Ind})))
print(RecType({'x':Ind,
'y':Ind,
'e': (Fun('v',Ind,PType(man,['v'])),['y'])})
.subtype_of(RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e': (Fun('v',Ind,PType(man,['v'])),['y'])}))) #False
print(RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e': (Fun('v',Ind,PType(man,['v'])),['y'])})
.subtype_of(RecType({'x':Ind,
'y':Ind,
'e': (Fun('v',Ind,PType(man,['v'])),['y'])})))
#True but returns an error
R1 = RecType({'x':Ind,
'y':(Fun('v',Ind,SingletonType(Ind,'v')),['x']),
'e': (Fun('v',Ind,PType(man,['v'])),['y'])})
R2 = RecType({'x':Ind,
'y':Ind,
'e': (Fun('v',Ind,PType(man,['v'])),['y'])})
print(R1.subtype_of(R2))
print(RecType({'x' : R1})
.subtype_of(RecType({'x' : R2})))
print(RecTy.query(RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})))
print(RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])}).validate())
print(RecTy.query(RecType({'x' : Ty,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})))
#In the earlier implementation this was false. If we want to replicate this we can first validate as below.
print(RecType({'x' : Ty,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])}).validate())
example(47)
ttrace()
h1 = RecType({'x' : Ty,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])}).create_hypobj()
print(show(h1))
nottrace()
example(48)
print(RecType({'x' : RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})}).
validate())
example(49)
print(RecType({'x' : (Fun('v',Ind,RecType({'x' : Ind,
'e' : PType(man,['v'])})),['x'])}).
validate())
example(50)
print(show(RecType({'x' : RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})})
.create()))
example(51)
print(show(RecTy.create()))
example(52)
T5 = RecTy.create()
print(RecTy.query(T5))
example(53)
print(RecType({'x' : RecType({'x' : Ind,\
'e' : (Fun('v',Ind,PType(man,['v'])),['y'])}),
'y' : Ind}).
validate()) #False
example(54)
print(RecType({'x' : (Fun('v',Ind,RecType({'x' : Ind,
'e' : PType(man,['v'])})),['y']),
'y' : Ind}).
validate())
example(55)
print(show(RecType({'x' : (Fun('v',Ind,RecType({'x' : Ind,
'e' : PType(man,['v'])})),['y']),
'y' : Ind}).
create()))
example(56)
print(show(RecType({'x' : (Fun('v',Ind,RecType({'x' : Ind,
'e' : PType(man,['v'])})),['y']),
'y' : Ind}).
create_hypobj()))
example(57)
print(RecType({'x' : RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])}),
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x.x'])}).
validate())
example(58)
print(RecType({'x' : (Fun('v',Ind,RecType({'x' : Ind,
'e' : PType(man,['v'])})),['y']),
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x.x'])}).
validate())
# The corresponding type in the previous implementation would have
# been ok since it would have been written (mutatis mutandis)
# RecType({'x' : RecType({'x' : Ind,\
# 'e' : (Fun('v',Ind, PType(man,['v'])),['y'])}),\
# 'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x.x'])})
# and path names in the dependent fields would always have been
# interpreted from the top of the record. So this type from the old
# system is not expressible if path names are interpreted locally.
# However, there is a type very like it in (59) and (60):
example(59)
print(RecType({'x' : (Fun('v',Ind,RecType({'x' : SingletonType(Ind,'v'),
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})), ['y']),
'y' : Ind}).
validate())
example(60)
print(show(RecType({'x' : (Fun('v',Ind,RecType({'x' : SingletonType(Ind,'v'),
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})), ['y']),
'y' : Ind}).
create()))
print(show(RecType({'x' : (Fun('v',Ind,RecType({'x' : SingletonType(Ind,'v'),
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})), ['y']),
'y' : Ind}).
create_hypobj()))
example(61)
print(RecType({'x' : (Fun('v',Ind,RecType({'x' : SingletonType(Ind,'v'),\
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})), ['y']),
'y' : Ind}).subtype_of(
RecType({'x' : RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])}),
'y' : Ind})
))
example(62)
#reverse of (61) -- false
print(
RecType({'x' : RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])}),
'y' : Ind}).subtype_of(
RecType({'x' : (Fun('v',Ind,RecType({'x' : SingletonType(Ind,'v'),
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})), ['y']),
'y' : Ind})
))
example(63)
print(
RecType({'x' : (Fun('v',Ind,SingletonType(Ind,'v')),['y']),\
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x'])}).\
validate()
) #False
example(64)
ttrace()
print(
RecType({'x' : (Fun('v',Ind,SingletonType(Ind,'v')),['y']),
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x'])}).
create()
) #None
nottrace()
example(65)
ttrace()
print(
RecType({'x' : (Fun('v',Ind,SingletonType(Ind,'v')),['y']),
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x'])}).
create_hypobj()\
) #None
nottrace()
example(66)
print(\
RecType({'x' : (Fun('v',Ind,SingletonType(Ind,'v')),['y']),
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x'])}).
query(\
Rec({'x' : 'j',\
'y' : 'j'})\
)\
) # True!
example(67)
print(\
RecType({'x' : (Fun('v',Ind,SingletonType(Ind,'v')),['y']),
'y' : (Fun('v',Ind,SingletonType(Ind,'v')),['x'])}).
query(
Rec({'x' : 'j',
'y' : 'k'})
)
) # False
# Examples (63)-(67) show that circularity in dependencies can be used
# in a limited fashion if desired. Given a record that you are
# checking it is possible for the dependencies to be resolved using
# the record. However, the type will not be validated and it is not
# possible to create objects of the type, which in turn means that it
# will not be possible to show that it is a subtype of another type.
example(68)
print(
RecType({'x' : ListType(Ind),
'y' : ListType(Ind),
'z' : (Fun('v1',ListType(Ind),
Fun('v2',ListType(Ind),SingletonType(ListType(Ind),LazyObj(['v1','+','v2'])))),['x','y'])}).
validate()
)
example(69)
print(
RecType({'x' : Ind,
'y' : Ind,
'e' : (Fun('v1',Ind,
Fun('v2',Ind,PType(love,['v1','v2']))), ['x','y'])}).
validate()
)
example(70)
PType(love,['j','m']).in_poss(M).judge('e8')
print(
RecType({'x' : Ind,
'y' : Ind,
'e' : (Fun('v1',Ind,
Fun('v2',Ind,PType(love,['v1','v2']))), ['x','y'])}).
in_poss(M).
query(Rec({'x' : 'j',
'y' : 'm',
'e' : 'e8'}))
)
example(71)
print(
RecType({'x' : ListType(Ind),
'y' : ListType(Ind),
'z' : (Fun('v1',ListType(Ind),
Fun('v2',ListType(Ind),SingletonType(ListType(Ind),LazyObj(['v1','+','v2'])))),['x','y'])}).
query(
Rec({'x' : ['j'],
'y' : ['m'],
'z' : ['j', 'm']})
)
)
example(72)
print(
show(
RecType({'x' : ListType(Ind),
'y' : ListType(Ind),
'z' : (Fun('v1',ListType(Ind),
Fun('v2',ListType(Ind),SingletonType(ListType(Ind),LazyObj(['v1','+','v2'])))),['x','y'])}).
create_hypobj()
)
)
example(73)
print(
show(
RecType({'x' : SingletonType(ListType(Ind),['j']),
'y' : ListType(Ind),
'z' : (Fun('v1',ListType(Ind),
Fun('v2',ListType(Ind),SingletonType(ListType(Ind),LazyObj(['v1','+','v2'])))),['x','y'])}).
create_hypobj()
)
)
example(74)
print(
show(
RecType({'x' : SingletonType(ListType(Ind),['j']),
'y' : SingletonType(ListType(Ind),['m']),
'z' : (Fun('v1',ListType(Ind),
Fun('v2',ListType(Ind),SingletonType(ListType(Ind),LazyObj(['v1','+','v2'])))),['x','y'])}).
create_hypobj()
)
)
example(75)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])}).
query(
Rec({'x' : Fun('v',Ind,RecType({'e' : PType(man, ['v'])})),
'y' : 'j',
'z' : RecType({'e' : PType(man, ['j'])})})
)
)
)
example(76)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])}).
subtype_of(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','w'])})
)
)
) # False
example(77)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])}).
create_hypobj(
)
)
)
example(78)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])
})
)
)
example(79)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])
}).
subtype_of(RecType({'z' : RecTy}))
)
)
example(80)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])
}).
create_hypobj()
)
)
example(81)
print(
show(
RecType({'x' : FunType(Ind,RecTy),
'y' : Ind,
'w' : Ind,
'z' : (Fun('f',FunType(Ind,RecTy), Fun('v',Ind,SingletonType(RecTy,LazyObj(['f','@','v'])))),
['x','y'])
}).
subtype_of(RecType({'z' : RecTy}))
)
)
example(82)
TT1 = FunType(Ind, RecTy)
TT2 = FunType(Ind, Ty)
TT3 = FunType(TT1, TT2)
ff = Fun('f', TT1, Fun('x', Ind, LazyObj(['f','@','x'])))
print(TT3.query(ff))
example(83)
print(
Ty.query(RecType({'c' : (Fun('v', Ind, PType(man,['v'])),
[AbsPath(Rec({'x' : 'j'}), 'x')])}))
)
example(84)
TxInd = RecType({'x' : Ind})
print(
FunType(TxInd, RecTy).
query(Fun('r', TxInd, RecType({'c' : (Fun('v', Ind, PType(man,['v'])),
[AbsPath('r', 'x')])})))
)
example(85)
print(
show(
Fun('r', TxInd, RecType({'c' : (Fun('v', Ind, PType(man,['v'])),
[AbsPath('r', 'x')])})).app(Rec({'x' : 'j'}))
))
example(86)
print(
show(
RecType({'x' : Ind,
'y' : Ind})
.merge(RecType({'x':Ind}))
)
)
example(87)
print(
show(
RecType({'x':Ind}).
merge(RecType({'x' : Ind,
'y' : Ind}))
)
)
example(88)
print(
show(
JoinType(Ind,Ty).merge(RecTy)))
example(89)
print(
show(
JoinType(Ind,Ty).merge(Ind)
)
)
example(90)
print(
show(
JoinType(Ind,Ty).merge(JoinType(Ind,RecTy))
)
)
example(91)
print(
show(
Ind.merge(JoinType(Ind,Ty))
))
example(92)
print(
show(
RecType({'a' : Ind}).merge(RecType({'b' : Ind}))
)
)
example(93)
print(
show(
RecType({'a' : Ind,
'c' : JoinType(Ind,Ty)}).merge(RecType({'b' : Ind,
'c' : Ind}))
)
)
example(94)
T1 = RecType({'x' : Ind,
'y' : (Fun('v', Ind, RecType({'a' : Ind,
'c' : PType(man, ['v'])})), ['x']),
'z' : Ind})
T2 = RecType({'x' : Ind,
'y' : (Fun('v', Ind, RecType({'a' : Ind,
'c' : PType(man, ['v'])})), ['x']),
'w' : Ind})
print(
show(
T1.merge(T2)
)
)
example(95)
T1 = RecType({'x' : Ind,
'y' : (Fun('v', Ind, RecType({'a' : Ind,
'c' : PType(man, ['v'])})), ['x']),
'z' : Ind})
T2 = RecType({'x' : Ind,
'y' : (Fun('v', Ind, RecType({'a' : Ind,
'c' : PType(man, ['v'])})), ['z']),
'z' : Ind})
print(
show(
T1.merge(T2)
)
)
example(96)
T1 = RecType({'x' : SingletonType(Ind, 'j'),
'y' : (Fun('v', Ind, RecType({'a' : Ind,
'c' : PType(man, ['v'])})), ['x']),
'z' : Ind})
T2 = RecType({'x' : Ind,
'y' : (Fun('v', Ind, RecType({'a' : Ind,
'c' : PType(man, ['v'])})), ['z']),
'z' : SingletonType(Ind, 'j')})
print(
show(
T1.merge(T2)
)
)
# In the previous Oz implementation there was an operation that would simplify
# dependent types when the path associated with them pointed to a singleton
# type. Not (yet) implemented here.
example(97)
T1 = RecType({'a' : Ind,
'b' : Ind})
T2 = RecType({'a' : SingletonType(Ind, 'j')})
print(
show(
T1.merge(T2)
)
)
example(98)
T1 = Re
T2 = RecType({'a' : Ind})
print(
show(
T1.merge(T2)
)
)
example(99)
T1 = RecType({'a' : PType(man, ['j'])})
T2 = RecType({'a' : PType(man, ['m'])})
print(
show(
T1.merge(T2)
)
)
example(100)
T1 = RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})
T2 = RecType({'e' : PType(man,['j'])})
print(
show(
T1.merge(T2)
)
)
print(
show(
T2.merge(T1)
)
)
example(101)
T1 = Ind
T2 = RecTy
print(
show(
T1.amerge(T2)
)
)
example(102)
T1 = RecType({'agenda' : SingletonType(ListType(Ty), [RecType({'e' : PType(run,['j'])})]),
'latest_move' : SingletonType(ListType(Re),[])})
T2 = RecType({'agenda' : SingletonType(ListType(Ty),[]),
'latest_move' : RecType({'e' : PType(run,['j'])})})
print(
show(
T1.amerge(T2)
)
)
example(103)
T1 = RecType({'x' : Ind,
'agenda' : (Fun('v',Ind,SingletonType(ListType(Ty), [RecType({'e' : PType(run,['v'])})])),['x']),
'latest_move' : SingletonType(ListType(Re),[])})
T2 = RecType({'x' : Ind,
'agenda' : SingletonType(ListType(Ty),[]),
'latest_move' : (Fun('v',Ind,RecType({'e' : PType(run,['v'])})),['x'])})
print(
show(
T1.amerge(T2)
)
)
example(104)
T1 = RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(run,['v'])),['x'])})
T2 = RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['x'])})
print(
show(
T1.merge(T2)
)
)
print(
show(
T1.amerge(T2)
)
)
example(105)
T1 = RecType({'x' : Ind,
'e' : (Fun('v',Ind,PType(run,['v'])),['x'])})
T2 = RecType({'y' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['y'])})
print(
show(
T1.merge(T2)
)
)
print(
show(
T1.amerge(T2)
)
)
example(106)
T1 = RecType({'x' : Ind,
'e' : (Fun('v',Ind,RecType({'y' : Ind,
'e' : PType(run,['v'])})),['x'])})
T2 = RecType({'y' : Ind,
'e' : (Fun('v',Ind,PType(man,['v'])),['y'])})
print(
show(
T1.merge(T2)
)
)
print(
show(
T1.amerge(T2)
)
)
example(107)
T1 = RecType({'x' : Ind,
'e' : (Fun('v',Ind,RecType({'y' : Ind,
'e' : PType(run,['v'])})),['x'])})
T2 = RecType({'y' : Ind,
'e' : (Fun('v',Ind,RecType({'x' : Ind,
'e' : PType(man,['v'])})),['y'])})
print(
show(
T1.merge(T2)
)
)
print(
show(
T1.amerge(T2)
)
)
example(108)
s = TTRString(['e1','e2'])