1 |
|
/****************************************************************************** |
2 |
|
* Top contributors (to current version): |
3 |
|
* Mudathir Mohamed, Andrew Reynolds, Gereon Kremer |
4 |
|
* |
5 |
|
* This file is part of the cvc5 project. |
6 |
|
* |
7 |
|
* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS |
8 |
|
* in the top-level source directory and their institutional affiliations. |
9 |
|
* All rights reserved. See the file COPYING in the top-level source |
10 |
|
* directory for licensing information. |
11 |
|
* **************************************************************************** |
12 |
|
* |
13 |
|
* Inference generator utility. |
14 |
|
*/ |
15 |
|
|
16 |
|
#include "inference_generator.h" |
17 |
|
|
18 |
|
#include "expr/attribute.h" |
19 |
|
#include "expr/bound_var_manager.h" |
20 |
|
#include "expr/skolem_manager.h" |
21 |
|
#include "theory/bags/inference_manager.h" |
22 |
|
#include "theory/bags/solver_state.h" |
23 |
|
#include "theory/uf/equality_engine.h" |
24 |
|
|
25 |
|
namespace cvc5 { |
26 |
|
namespace theory { |
27 |
|
namespace bags { |
28 |
|
|
29 |
18918 |
InferenceGenerator::InferenceGenerator(SolverState* state, InferenceManager* im) |
30 |
18918 |
: d_state(state), d_im(im) |
31 |
|
{ |
32 |
18918 |
d_nm = NodeManager::currentNM(); |
33 |
18918 |
d_sm = d_nm->getSkolemManager(); |
34 |
18918 |
d_true = d_nm->mkConst(true); |
35 |
18918 |
d_zero = d_nm->mkConst(Rational(0)); |
36 |
18918 |
d_one = d_nm->mkConst(Rational(1)); |
37 |
18918 |
} |
38 |
|
|
39 |
1335 |
InferInfo InferenceGenerator::nonNegativeCount(Node n, Node e) |
40 |
|
{ |
41 |
1335 |
Assert(n.getType().isBag()); |
42 |
1335 |
Assert(e.getType() == n.getType().getBagElementType()); |
43 |
|
|
44 |
1335 |
InferInfo inferInfo(d_im, InferenceId::BAG_NON_NEGATIVE_COUNT); |
45 |
2670 |
Node count = d_nm->mkNode(kind::BAG_COUNT, e, n); |
46 |
|
|
47 |
2670 |
Node gte = d_nm->mkNode(kind::GEQ, count, d_zero); |
48 |
1335 |
inferInfo.d_conclusion = gte; |
49 |
2670 |
return inferInfo; |
50 |
|
} |
51 |
|
|
52 |
334 |
InferInfo InferenceGenerator::mkBag(Node n, Node e) |
53 |
|
{ |
54 |
334 |
Assert(n.getKind() == kind::MK_BAG); |
55 |
334 |
Assert(e.getType() == n.getType().getBagElementType()); |
56 |
|
|
57 |
334 |
if (n[0] == e) |
58 |
|
{ |
59 |
|
// TODO issue #78: refactor this with BagRewriter |
60 |
|
// (=> true (= (bag.count e (bag e c)) c)) |
61 |
372 |
InferInfo inferInfo(d_im, InferenceId::BAG_MK_BAG_SAME_ELEMENT); |
62 |
372 |
Node skolem = getSkolem(n, inferInfo); |
63 |
372 |
Node count = getMultiplicityTerm(e, skolem); |
64 |
186 |
inferInfo.d_conclusion = count.eqNode(n[1]); |
65 |
186 |
return inferInfo; |
66 |
|
} |
67 |
|
else |
68 |
|
{ |
69 |
|
// (=> |
70 |
|
// true |
71 |
|
// (= (bag.count e (bag x c)) (ite (= e x) c 0))) |
72 |
296 |
InferInfo inferInfo(d_im, InferenceId::BAG_MK_BAG); |
73 |
296 |
Node skolem = getSkolem(n, inferInfo); |
74 |
296 |
Node count = getMultiplicityTerm(e, skolem); |
75 |
296 |
Node same = d_nm->mkNode(kind::EQUAL, n[0], e); |
76 |
296 |
Node ite = d_nm->mkNode(kind::ITE, same, n[1], d_zero); |
77 |
296 |
Node equal = count.eqNode(ite); |
78 |
148 |
inferInfo.d_conclusion = equal; |
79 |
148 |
return inferInfo; |
80 |
|
} |
81 |
|
} |
82 |
|
|
83 |
|
struct BagsDeqAttributeId |
84 |
|
{ |
85 |
|
}; |
86 |
|
typedef expr::Attribute<BagsDeqAttributeId, Node> BagsDeqAttribute; |
87 |
|
|
88 |
270 |
InferInfo InferenceGenerator::bagDisequality(Node n) |
89 |
|
{ |
90 |
270 |
Assert(n.getKind() == kind::EQUAL && n[0].getType().isBag()); |
91 |
|
|
92 |
540 |
Node A = n[0]; |
93 |
540 |
Node B = n[1]; |
94 |
|
|
95 |
270 |
InferInfo inferInfo(d_im, InferenceId::BAG_DISEQUALITY); |
96 |
|
|
97 |
540 |
TypeNode elementType = A.getType().getBagElementType(); |
98 |
270 |
BoundVarManager* bvm = d_nm->getBoundVarManager(); |
99 |
540 |
Node element = bvm->mkBoundVar<BagsDeqAttribute>(n, elementType); |
100 |
|
Node skolem = |
101 |
270 |
d_sm->mkSkolem(element, |
102 |
|
n, |
103 |
|
"bag_disequal", |
104 |
540 |
"an extensional lemma for disequality of two bags"); |
105 |
|
|
106 |
540 |
Node countA = getMultiplicityTerm(skolem, A); |
107 |
540 |
Node countB = getMultiplicityTerm(skolem, B); |
108 |
|
|
109 |
540 |
Node disEqual = countA.eqNode(countB).notNode(); |
110 |
|
|
111 |
270 |
inferInfo.d_premises.push_back(n.notNode()); |
112 |
270 |
inferInfo.d_conclusion = disEqual; |
113 |
540 |
return inferInfo; |
114 |
|
} |
115 |
|
|
116 |
1016 |
Node InferenceGenerator::getSkolem(Node& n, InferInfo& inferInfo) |
117 |
|
{ |
118 |
1016 |
Node skolem = d_sm->mkPurifySkolem(n, "skolem_bag", "skolem bag"); |
119 |
1016 |
inferInfo.d_skolems[n] = skolem; |
120 |
1016 |
return skolem; |
121 |
|
} |
122 |
|
|
123 |
22 |
InferInfo InferenceGenerator::empty(Node n, Node e) |
124 |
|
{ |
125 |
22 |
Assert(n.getKind() == kind::EMPTYBAG); |
126 |
22 |
Assert(e.getType() == n.getType().getBagElementType()); |
127 |
|
|
128 |
22 |
InferInfo inferInfo(d_im, InferenceId::BAG_EMPTY); |
129 |
44 |
Node skolem = getSkolem(n, inferInfo); |
130 |
44 |
Node count = getMultiplicityTerm(e, skolem); |
131 |
|
|
132 |
44 |
Node equal = count.eqNode(d_zero); |
133 |
22 |
inferInfo.d_conclusion = equal; |
134 |
44 |
return inferInfo; |
135 |
|
} |
136 |
|
|
137 |
288 |
InferInfo InferenceGenerator::unionDisjoint(Node n, Node e) |
138 |
|
{ |
139 |
288 |
Assert(n.getKind() == kind::UNION_DISJOINT && n[0].getType().isBag()); |
140 |
288 |
Assert(e.getType() == n[0].getType().getBagElementType()); |
141 |
|
|
142 |
576 |
Node A = n[0]; |
143 |
576 |
Node B = n[1]; |
144 |
288 |
InferInfo inferInfo(d_im, InferenceId::BAG_UNION_DISJOINT); |
145 |
|
|
146 |
576 |
Node countA = getMultiplicityTerm(e, A); |
147 |
576 |
Node countB = getMultiplicityTerm(e, B); |
148 |
|
|
149 |
576 |
Node skolem = getSkolem(n, inferInfo); |
150 |
576 |
Node count = getMultiplicityTerm(e, skolem); |
151 |
|
|
152 |
576 |
Node sum = d_nm->mkNode(kind::PLUS, countA, countB); |
153 |
576 |
Node equal = count.eqNode(sum); |
154 |
|
|
155 |
288 |
inferInfo.d_conclusion = equal; |
156 |
576 |
return inferInfo; |
157 |
|
} |
158 |
|
|
159 |
178 |
InferInfo InferenceGenerator::unionMax(Node n, Node e) |
160 |
|
{ |
161 |
178 |
Assert(n.getKind() == kind::UNION_MAX && n[0].getType().isBag()); |
162 |
178 |
Assert(e.getType() == n[0].getType().getBagElementType()); |
163 |
|
|
164 |
356 |
Node A = n[0]; |
165 |
356 |
Node B = n[1]; |
166 |
178 |
InferInfo inferInfo(d_im, InferenceId::BAG_UNION_MAX); |
167 |
|
|
168 |
356 |
Node countA = getMultiplicityTerm(e, A); |
169 |
356 |
Node countB = getMultiplicityTerm(e, B); |
170 |
|
|
171 |
356 |
Node skolem = getSkolem(n, inferInfo); |
172 |
356 |
Node count = getMultiplicityTerm(e, skolem); |
173 |
|
|
174 |
356 |
Node gt = d_nm->mkNode(kind::GT, countA, countB); |
175 |
356 |
Node max = d_nm->mkNode(kind::ITE, gt, countA, countB); |
176 |
356 |
Node equal = count.eqNode(max); |
177 |
|
|
178 |
178 |
inferInfo.d_conclusion = equal; |
179 |
356 |
return inferInfo; |
180 |
|
} |
181 |
|
|
182 |
96 |
InferInfo InferenceGenerator::intersection(Node n, Node e) |
183 |
|
{ |
184 |
96 |
Assert(n.getKind() == kind::INTERSECTION_MIN && n[0].getType().isBag()); |
185 |
96 |
Assert(e.getType() == n[0].getType().getBagElementType()); |
186 |
|
|
187 |
192 |
Node A = n[0]; |
188 |
192 |
Node B = n[1]; |
189 |
96 |
InferInfo inferInfo(d_im, InferenceId::BAG_INTERSECTION_MIN); |
190 |
|
|
191 |
192 |
Node countA = getMultiplicityTerm(e, A); |
192 |
192 |
Node countB = getMultiplicityTerm(e, B); |
193 |
192 |
Node skolem = getSkolem(n, inferInfo); |
194 |
192 |
Node count = getMultiplicityTerm(e, skolem); |
195 |
|
|
196 |
192 |
Node lt = d_nm->mkNode(kind::LT, countA, countB); |
197 |
192 |
Node min = d_nm->mkNode(kind::ITE, lt, countA, countB); |
198 |
192 |
Node equal = count.eqNode(min); |
199 |
96 |
inferInfo.d_conclusion = equal; |
200 |
192 |
return inferInfo; |
201 |
|
} |
202 |
|
|
203 |
56 |
InferInfo InferenceGenerator::differenceSubtract(Node n, Node e) |
204 |
|
{ |
205 |
56 |
Assert(n.getKind() == kind::DIFFERENCE_SUBTRACT && n[0].getType().isBag()); |
206 |
56 |
Assert(e.getType() == n[0].getType().getBagElementType()); |
207 |
|
|
208 |
112 |
Node A = n[0]; |
209 |
112 |
Node B = n[1]; |
210 |
56 |
InferInfo inferInfo(d_im, InferenceId::BAG_DIFFERENCE_SUBTRACT); |
211 |
|
|
212 |
112 |
Node countA = getMultiplicityTerm(e, A); |
213 |
112 |
Node countB = getMultiplicityTerm(e, B); |
214 |
112 |
Node skolem = getSkolem(n, inferInfo); |
215 |
112 |
Node count = getMultiplicityTerm(e, skolem); |
216 |
|
|
217 |
112 |
Node subtract = d_nm->mkNode(kind::MINUS, countA, countB); |
218 |
112 |
Node gte = d_nm->mkNode(kind::GEQ, countA, countB); |
219 |
112 |
Node difference = d_nm->mkNode(kind::ITE, gte, subtract, d_zero); |
220 |
112 |
Node equal = count.eqNode(difference); |
221 |
56 |
inferInfo.d_conclusion = equal; |
222 |
112 |
return inferInfo; |
223 |
|
} |
224 |
|
|
225 |
|
InferInfo InferenceGenerator::differenceRemove(Node n, Node e) |
226 |
|
{ |
227 |
|
Assert(n.getKind() == kind::DIFFERENCE_REMOVE && n[0].getType().isBag()); |
228 |
|
Assert(e.getType() == n[0].getType().getBagElementType()); |
229 |
|
|
230 |
|
Node A = n[0]; |
231 |
|
Node B = n[1]; |
232 |
|
InferInfo inferInfo(d_im, InferenceId::BAG_DIFFERENCE_REMOVE); |
233 |
|
|
234 |
|
Node countA = getMultiplicityTerm(e, A); |
235 |
|
Node countB = getMultiplicityTerm(e, B); |
236 |
|
|
237 |
|
Node skolem = getSkolem(n, inferInfo); |
238 |
|
Node count = getMultiplicityTerm(e, skolem); |
239 |
|
|
240 |
|
Node notInB = d_nm->mkNode(kind::EQUAL, countB, d_zero); |
241 |
|
Node difference = d_nm->mkNode(kind::ITE, notInB, countA, d_zero); |
242 |
|
Node equal = count.eqNode(difference); |
243 |
|
inferInfo.d_conclusion = equal; |
244 |
|
return inferInfo; |
245 |
|
} |
246 |
|
|
247 |
42 |
InferInfo InferenceGenerator::duplicateRemoval(Node n, Node e) |
248 |
|
{ |
249 |
42 |
Assert(n.getKind() == kind::DUPLICATE_REMOVAL && n[0].getType().isBag()); |
250 |
42 |
Assert(e.getType() == n[0].getType().getBagElementType()); |
251 |
|
|
252 |
84 |
Node A = n[0]; |
253 |
42 |
InferInfo inferInfo(d_im, InferenceId::BAG_DUPLICATE_REMOVAL); |
254 |
|
|
255 |
84 |
Node countA = getMultiplicityTerm(e, A); |
256 |
84 |
Node skolem = getSkolem(n, inferInfo); |
257 |
84 |
Node count = getMultiplicityTerm(e, skolem); |
258 |
|
|
259 |
84 |
Node gte = d_nm->mkNode(kind::GEQ, countA, d_one); |
260 |
84 |
Node ite = d_nm->mkNode(kind::ITE, gte, d_one, d_zero); |
261 |
84 |
Node equal = count.eqNode(ite); |
262 |
42 |
inferInfo.d_conclusion = equal; |
263 |
84 |
return inferInfo; |
264 |
|
} |
265 |
|
|
266 |
2834 |
Node InferenceGenerator::getMultiplicityTerm(Node element, Node bag) |
267 |
|
{ |
268 |
2834 |
Node count = d_nm->mkNode(kind::BAG_COUNT, element, bag); |
269 |
2834 |
return count; |
270 |
|
} |
271 |
|
|
272 |
|
} // namespace bags |
273 |
|
} // namespace theory |
274 |
28191 |
} // namespace cvc5 |