1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
|
import Test.HUnit
import Library.Command
import Library.TypeVar
import Library.Term
import Library.Theorem
import Test.DataTypes
import qualified Data.Set as Set
name1 = TestCase (assertEqual "for (name \"abc\")"
(Just (Name [] "abc"))
(name "\"abc\""))
name2 = TestCase (assertEqual "for (name \"first.second.third\")"
(Just (Name ["first","second"] "third"))
(name "\"first.second.third\""))
name3 = TestCase (assertEqual "for (name \"firs\\t.se\\cond.\\t\\h\\ird\")"
(Just (Name ["first","second"] "third"))
(name "\"firs\\t.se\\cond.\\t\\h\\ird\""))
name4 = TestCase (assertEqual "for (name abc)" Nothing (name "abc"))
number1 = TestCase (assertEqual "for (number \"90\")" (Just 90) (number "90"))
number2 = TestCase (assertEqual "for (number \"0\")" (Just 0) (number "0"))
number3 = TestCase (assertEqual "for (number \"-1\")" (Just (-1)) (number "-1"))
number4 = TestCase (assertEqual "for (number \"-0\")" Nothing (number "-0"))
number5 = TestCase (assertEqual "for (number \"1.2\")" Nothing (number "1.2"))
assume1 = TestCase (assertEqual "for (assume (TConst ...)"
(Just (Theorem (Set.singleton (TConst stdConst typeBool))
(TConst stdConst typeBool)))
(assume (TConst stdConst typeBool)))
assume2 = TestCase (assertEqual "for (assume (TConst ...) --with wrong type"
Nothing
(assume (TConst stdConst stdTypeVar)))
axiom1 = TestCase (assertEqual "for (axiom (TConst ...) [])"
(Just (Theorem Set.empty (TConst stdConst stdTypeVar)))
(axiom (TConst stdConst stdTypeVar) []))
axiom2 = TestCase (assertEqual "for (axiom (TConst ...) [term1, term2] --term1 has wrong type"
Nothing
(axiom (TConst stdConst stdTypeVar)
[(TConst stdConst stdTypeVar),(TConst stdConst typeBool)]))
alphaEquiv1 = TestCase (assertEqual "for ((\\xy -> x) `alphaEquiv` (\\yx -> x))"
False
(alphaEquiv (TAbs (stdVarTerm "x") (TAbs (stdVarTerm "y") (stdVarTerm "x")))
(TAbs (stdVarTerm "y") (TAbs (stdVarTerm "x") (stdVarTerm "x")))))
alphaEquiv2 = TestCase (assertEqual "for ((\\xy -> x) `alphaEquiv` (\\xy -> x))"
True
(alphaEquiv (TAbs (stdVarTerm "x") (TAbs (stdVarTerm "y") (stdVarTerm "x")))
(TAbs (stdVarTerm "x") (TAbs (stdVarTerm "y") (stdVarTerm "x")))))
alphaEquiv3 = TestCase (assertEqual "for ((\\xyx -> x) `alphaEquiv` (\\yxx -> x))"
True
(alphaEquiv (TAbs (stdVarTerm "x") (TAbs (stdVarTerm "y") (TAbs (stdVarTerm "x") (stdVarTerm "x"))))
(TAbs (stdVarTerm "y") (TAbs (stdVarTerm "x") (TAbs (stdVarTerm "x") (stdVarTerm "x"))))))
alphaEquiv4 = TestCase (assertEqual "for ((\\xyz -> y) `alphaEquiv` (\\zyx -> y))"
True
(alphaEquiv (TAbs (stdVarTerm "x") (TAbs (stdVarTerm "y") (TAbs (stdVarTerm "z") (stdVarTerm "y"))))
(TAbs (stdVarTerm "z") (TAbs (stdVarTerm "y") (TAbs (stdVarTerm "x") (stdVarTerm "y"))))))
alphaEquiv5 = TestCase (assertEqual "for ((\\x -> x) `alphaEquiv` (\\x -> x)) --x of lhs is different type to x of rhs"
False
(alphaEquiv (TAbs (stdVarTerm "x") (stdVarTerm "x"))
(TAbs (altVarTerm "x") (altVarTerm "x"))))
alphaEquiv6 = TestCase (assertEqual "for ((TAbs ...) `alphaEquiv` (TConst ...))"
False
(alphaEquiv (TAbs (stdVarTerm "x") (stdVarTerm "x"))
(TConst stdConst typeBool)))
substitute1 = TestCase (assertEqual "for (substitute ([],[(x',a)]) (TVar x'))"
(stdConstTerm)
(substitute ([],[((stdVar "x'"),stdConstTerm)]) (stdVarTerm "x'")))
substitute2 = TestCase (assertEqual "for (substitute ([],[(x',a)]) (TVar y'))"
(stdVarTerm "y'")
(substitute ([],[((stdVar "x'"),stdConstTerm)]) (stdVarTerm "y'")))
substitute3 = TestCase (assertEqual "for (substitute ([],[(x',a)]) (TApp (TVar x') (TVar x')))"
(TApp stdConstTerm stdConstTerm)
(substitute ([],[((stdVar "x'"),stdConstTerm)]) (TApp (stdVarTerm "x'") (stdVarTerm "x'"))))
substitute4 = TestCase (assertEqual "for (substitute ([],[(x',a)]) (\\y' -> x'))"
(TAbs (stdVarTerm "y'") stdConstTerm)
(substitute ([],[((stdVar "x'"),stdConstTerm)]) (TAbs (stdVarTerm "y'") (stdVarTerm "x'"))))
substitute5 = TestCase (assertEqual "for (substitute ([],[(x',y')]) (\\y' -> x'))"
(TAbs (stdVarTerm "y''") (stdVarTerm "y'"))
(substitute ([],[((stdVar "x'"),(stdVarTerm "y'"))]) (TAbs (stdVarTerm "y'") (stdVarTerm "x'"))))
substitute6 = TestCase (assertEqual "for (substitute ([(tx',ta)],[]) (z' with typevar tx'))"
(TVar (Var (stdName "z'") stdType))
(substitute ([(stdTypeVarName,stdType)],[]) (stdVarTerm "z'")))
substitute7 = TestCase (assertEqual "for (substitute ([(tx',ta)],[(y',b)]) (\\z' -> y')) --z' has type tx'"
(TAbs (TVar (Var (stdName "z'") stdType)) stdConstTerm)
(substitute ([(stdTypeVarName,stdType)],[((altVar "y'"),stdConstTerm)]) (TAbs (stdVarTerm "z'") (altVarTerm "y'"))))
substitute8 = TestCase (assertEqual "for (substitute ([],[(x',y'),(y',z')]) (x'))"
(stdVarTerm "z'")
(substitute ([],[((stdVar "x'"),(stdVarTerm "y'")),
((stdVar "y'"),(stdVarTerm "z'"))]) (stdVarTerm "x'")))
substitute9 = TestCase (assertEqual "for (substitute ([(tx',ty'),(ty',ta)],[]) (z' with typevar tx'))"
(TVar (Var (stdName "z'") stdType))
(substitute ([(stdTypeVarName,altTypeVar),(altTypeVarName,stdType)],[]) (stdVarTerm "z'")))
main =
do putStrLn "Command.name"
runTestTT $ TestList [name1,name2,name3,name4]
putStrLn "Command.number"
runTestTT $ TestList [number1,number2,number3,number4,number5]
putStrLn "Command.assume"
runTestTT $ TestList [assume1,assume2]
putStrLn "Command.axiom"
runTestTT $ TestList [axiom1,axiom2]
putStrLn "Term.alphaEquiv"
runTestTT $ TestList [alphaEquiv1,alphaEquiv2,alphaEquiv3,alphaEquiv4,alphaEquiv5,alphaEquiv6]
putStrLn "Term.substitute"
runTestTT $ TestList [substitute1,substitute2,substitute3,substitute4,substitute5,substitute6,substitute7,substitute8,substitute9]
|
