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| 1 | +// Any copyright is dedicated to the Public Domain. |
| 2 | +// http://creativecommons.org/publicdomain/zero/1.0/ |
| 3 | + |
| 4 | +domain PyType { |
| 5 | + |
| 6 | + function extends_(sub: PyType, super: PyType): Bool |
| 7 | + |
| 8 | + function issubtype(sub: PyType, super: PyType): Bool |
| 9 | + |
| 10 | + function isnotsubtype(sub: PyType, super: PyType): Bool |
| 11 | + |
| 12 | + function typeof(obj: Ref): PyType |
| 13 | + |
| 14 | + function get_basic(t: PyType): PyType |
| 15 | + |
| 16 | + function union_type_1(arg_1: PyType): PyType |
| 17 | + |
| 18 | + function union_type_2(arg_1: PyType, arg_2: PyType): PyType |
| 19 | + |
| 20 | + function union_type_3(arg_1: PyType, arg_2: PyType, arg_3: PyType): PyType |
| 21 | + |
| 22 | + function union_type_4(arg_1: PyType, arg_2: PyType, arg_3: PyType, arg_4: PyType): PyType |
| 23 | + |
| 24 | + unique function object(): PyType |
| 25 | + |
| 26 | + unique function list_basic(): PyType |
| 27 | + |
| 28 | + function list(arg0: PyType): PyType |
| 29 | + |
| 30 | + unique function set_basic(): PyType |
| 31 | + |
| 32 | + function set(arg0: PyType): PyType |
| 33 | + |
| 34 | + function set_arg(typ: PyType, index: Int): PyType |
| 35 | + |
| 36 | + unique function dict_basic(): PyType |
| 37 | + |
| 38 | + function dict(arg0: PyType, arg1: PyType): PyType |
| 39 | + |
| 40 | + function dict_arg(typ: PyType, index: Int): PyType |
| 41 | + |
| 42 | + unique function int(): PyType |
| 43 | + |
| 44 | + unique function float(): PyType |
| 45 | + |
| 46 | + unique function bool(): PyType |
| 47 | + |
| 48 | + unique function NoneType(): PyType |
| 49 | + |
| 50 | + unique function Exception(): PyType |
| 51 | + |
| 52 | + unique function ConnectionRefusedError(): PyType |
| 53 | + |
| 54 | + unique function traceback(): PyType |
| 55 | + |
| 56 | + unique function str(): PyType |
| 57 | + |
| 58 | + unique function bytes(): PyType |
| 59 | + |
| 60 | + unique function __prim__perm(): PyType |
| 61 | + |
| 62 | + unique function PSeq_basic(): PyType |
| 63 | + |
| 64 | + function PSeq(arg0: PyType): PyType |
| 65 | + |
| 66 | + function PSeq_arg(typ: PyType, index: Int): PyType |
| 67 | + |
| 68 | + unique function PSet_basic(): PyType |
| 69 | + |
| 70 | + function PSet(arg0: PyType): PyType |
| 71 | + |
| 72 | + function PSet_arg(typ: PyType, index: Int): PyType |
| 73 | + |
| 74 | + unique function PMultiset_basic(): PyType |
| 75 | + |
| 76 | + function PMultiset(arg0: PyType): PyType |
| 77 | + |
| 78 | + function PMultiset_arg(typ: PyType, index: Int): PyType |
| 79 | + |
| 80 | + unique function slice(): PyType |
| 81 | + |
| 82 | + unique function range_0(): PyType |
| 83 | + |
| 84 | + unique function Iterator_basic(): PyType |
| 85 | + |
| 86 | + function Iterator(arg0: PyType): PyType |
| 87 | + |
| 88 | + function Iterator_arg(typ: PyType, index: Int): PyType |
| 89 | + |
| 90 | + unique function Thread_0(): PyType |
| 91 | + |
| 92 | + unique function LevelType(): PyType |
| 93 | + |
| 94 | + unique function type(): PyType |
| 95 | + |
| 96 | + unique function Place(): PyType |
| 97 | + |
| 98 | + unique function __prim__Seq_type(): PyType |
| 99 | + |
| 100 | + unique function Node(): PyType |
| 101 | + |
| 102 | + axiom issubtype_transitivity { |
| 103 | + (forall sub: PyType, middle: PyType, super: PyType :: |
| 104 | + { issubtype(sub, middle), issubtype(middle, super) } |
| 105 | + issubtype(sub, middle) && issubtype(middle, super) ==> |
| 106 | + issubtype(sub, super)) |
| 107 | + } |
| 108 | + |
| 109 | + axiom issubtype_reflexivity { |
| 110 | + (forall type_: PyType :: |
| 111 | + { issubtype(type_, type_) } |
| 112 | + issubtype(type_, type_)) |
| 113 | + } |
| 114 | + |
| 115 | + axiom extends_implies_subtype { |
| 116 | + (forall sub: PyType, sub2: PyType :: |
| 117 | + { extends_(sub, sub2) } |
| 118 | + extends_(sub, sub2) ==> issubtype(sub, sub2)) |
| 119 | + } |
| 120 | + |
| 121 | + axiom issubtype_exclusion { |
| 122 | + (forall sub: PyType, sub2: PyType, super: PyType :: |
| 123 | + { extends_(sub, super), extends_(sub2, super) } |
| 124 | + extends_(sub, super) && extends_(sub2, super) && sub != sub2 ==> |
| 125 | + isnotsubtype(sub, sub2) && isnotsubtype(sub2, sub)) |
| 126 | + } |
| 127 | + |
| 128 | + |
| 129 | + |
| 130 | + axiom issubtype_exclusion_propagation { |
| 131 | + (forall sub: PyType, middle: PyType, super: PyType :: |
| 132 | + { issubtype(sub, middle), isnotsubtype(middle, super) } |
| 133 | + issubtype(sub, middle) && isnotsubtype(middle, super) ==> |
| 134 | + !issubtype(sub, super)) |
| 135 | + } |
| 136 | + |
| 137 | + axiom subtype_list { |
| 138 | + (forall var0: PyType :: |
| 139 | + { list(var0) } |
| 140 | + extends_(list(var0), object()) && |
| 141 | + get_basic(list(var0)) == list_basic()) |
| 142 | + } |
| 143 | + |
| 144 | + axiom subtype_int { |
| 145 | + extends_(int(), float()) && get_basic(int()) == int() |
| 146 | + } |
| 147 | + |
| 148 | + axiom subtype_float { |
| 149 | + extends_(float(), object()) && get_basic(float()) == float() |
| 150 | + } |
| 151 | + |
| 152 | + axiom subtype_bool { |
| 153 | + extends_(bool(), int()) |
| 154 | + } |
| 155 | +} |
| 156 | + |
| 157 | +field list_acc: Seq[Ref] |
| 158 | + |
| 159 | +field Node_function_name: Ref |
| 160 | + |
| 161 | +field Node_children: Ref |
| 162 | + |
| 163 | + |
| 164 | +method mcan_node_be_compressed(marked_execution_tree: Ref) |
| 165 | +{ |
| 166 | + inhale acc(marked_execution_tree.Node_children, write) && |
| 167 | + issubtype(typeof(marked_execution_tree.Node_children), list(Node())) |
| 168 | + inhale acc(marked_execution_tree.Node_children.list_acc, write) |
| 169 | + |
| 170 | + //:: ExpectedOutput(inhale.failed:qp.not.injective) |
| 171 | + inhale (forall iii: Ref :: |
| 172 | + ( |
| 173 | + typeof(iii) == int() && |
| 174 | + (int___ge__(int___unbox__(iii), 0) && |
| 175 | + int___lt__(int___unbox__(iii), list___len__(marked_execution_tree.Node_children)))) ==> |
| 176 | + acc(list___getitem__(marked_execution_tree.Node_children, iii).Node_function_name, write)) |
| 177 | +} |
| 178 | + |
| 179 | +function __prim__int___box__(prim: Int): Ref |
| 180 | + decreases _ |
| 181 | + ensures typeof(result) == int() |
| 182 | + ensures int___unbox__(result) == prim |
| 183 | + |
| 184 | + |
| 185 | +function int___unbox__(box: Ref): Int |
| 186 | + decreases _ |
| 187 | + requires issubtype(typeof(box), int()) |
| 188 | + ensures !issubtype(typeof(box), bool()) ==> |
| 189 | + __prim__int___box__(result) == box |
| 190 | + |
| 191 | +function int___ge__(self: Int, other: Int): Bool |
| 192 | + decreases _ |
| 193 | +{ |
| 194 | + self >= other |
| 195 | +} |
| 196 | + |
| 197 | +function int___lt__(self: Int, other: Int): Bool |
| 198 | + decreases _ |
| 199 | +{ |
| 200 | + self < other |
| 201 | +} |
| 202 | + |
| 203 | +function list___len__(self: Ref): Int |
| 204 | + decreases _ |
| 205 | + requires acc(self.list_acc, wildcard) |
| 206 | +{ |
| 207 | + |self.list_acc| |
| 208 | +} |
| 209 | + |
| 210 | +function list___getitem__(self: Ref, key: Ref): Ref |
| 211 | + requires issubtype(typeof(key), int()) |
| 212 | + requires acc(self.list_acc, wildcard) |
| 213 | + requires (let ln == |
| 214 | + (list___len__(self)) in |
| 215 | + (int___unbox__(key) < 0 ==> int___unbox__(key) >= -ln) && |
| 216 | + (int___unbox__(key) >= 0 ==> int___unbox__(key) < ln)) |
| 217 | + |
| 218 | + |
| 219 | + |
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