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
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
|
; Copyright (C) 2013, ForrestHunt, Inc.
; Written by J Strother Moore (some years before that)
; License: A 3-clause BSD license. See the LICENSE file distributed with ACL2.
(in-package "ACL2")
(include-book "huet-lang-algorithm")
(defstub h (x) t)
(defun generic-run (s n)
(if (zp n)
s
(generic-run (h s) (- n 1))))
(defun m5-run (s n)
(if (zp n)
s
(m5-run (cons 3 s) (- n 1))))
(set-state-ok t)
(defun hld-test-fn (generic concrete ans state)
(declare (xargs :mode :program))
(if (equal (hld generic
concrete
'(-1 . nil) ; psubst0
nil ; restrictions
nil ; toxic-fnname
1 ; eriapw repetition max
(w state))
ans)
(value t)
(er soft 'hld-test "HLD Test failed ~x0 versus ~x1" generic concrete)))
(defmacro hld-test (generic concrete ans)
`(make-event (er-progn (hld-test-fn ,generic ,concrete ,ans state)
(value '(value-triple t)))))
(hld-test
'(generic-run s n)
'(m5-run s n)
'((15/4 (H LAMBDA (X) (CONS '3 X))
(N . N)
(S . S)
(GENERIC-RUN LAMBDA (S N)
(M5-RUN S N)))))
(defun map-h (x)
(if (endp x)
nil
(cons (h (car x)) (map-h (cdr x)))))
(defthm map-h-append
(equal (map-h (append y z))
(append (map-h y) (map-h z)))
:rule-classes nil)
(defun bumper1 (u v w)
(if (endp u)
nil
(cons (+ (* w (car u)) v)
(bumper1 (cdr u) v w))))
(hld-test '(map-h x)
'(bumper1 a c d)
'((23/7 (H LAMBDA (X)
(BINARY-+ (BINARY-* D X) C))
(X . A)
(MAP-H LAMBDA (X) (BUMPER1 X C D)))))
(defun bumper2 (u v w)
(if (consp u)
(cons (+ (* w (car u)) v)
(bumper2 (cdr u) v w))
nil))
(hld-test '(map-h x)
'(bumper2 a c d)
'((23/7 (H LAMBDA (X)
(BINARY-+ (BINARY-* D X) C))
(X . A)
(MAP-H LAMBDA (X) (BUMPER2 X C D)))))
(defun bumper3 (u v w)
(if (consp u)
(if (zp (car u))
(cons 0 (bumper3 (cdr u) v w))
(cons (+ (* w (car u)) v)
(bumper3 (cdr u) v w)))
nil))
(hld-test '(map-h x)
'(bumper3 a c d)
'((23/7 (H LAMBDA (X)
(IF (ZP X)
'0
(BINARY-+ (BINARY-* D X) C)))
(X . A)
(MAP-H LAMBDA (X) (BUMPER3 X C D)))))
(defun generic-exists (x)
(if (endp x)
nil
(or (h x)
(generic-exists (cdr x)))))
; This next one takes less than 1 second if you use a rewrite max of 4
; or less, but takes 90 seconds if you use 5.
(hld-test '(generic-exists x)
'(member-equal e lst)
'((17/5 (H LAMBDA (X)
(IF (EQUAL E (CAR X)) X 'NIL))
(X . LST)
(GENERIC-EXISTS LAMBDA (X)
(MEMBER-EQUAL E X)))))
(defstub g (x y) t)
(defun generic-list-iterator (x ans)
(cond ((endp x) ans)
(t (generic-list-iterator (cdr x) (g (car x) ans)))))
(hld-test '(generic-list-iterator x ans)
'(revappend a b)
'((19/5 (G LAMBDA (X Y) (CONS X Y))
(ANS . B)
(X . A)
(GENERIC-LIST-ITERATOR LAMBDA (X ANS)
(REVAPPEND X ANS)))))
(defun get-integers (x a)
(cond ((consp x)
(cond ((integerp (car x))
(get-integers (cdr x) (cons (car x) a)))
(t (get-integers (cdr x) a))))
(t a)))
(hld-test '(generic-list-iterator x ans)
'(get-integers a b)
'((19/5 (G LAMBDA (X Y)
(IF (INTEGERP X) (CONS X Y) Y))
(ANS . B)
(X . A)
(GENERIC-LIST-ITERATOR LAMBDA (X ANS)
(GET-INTEGERS X ANS)))))
(include-book "misc/eval" :dir :system)
(must-succeed
(cond
((and
(equal (hld '(h x) '(car (cdr a)) '(-1 . nil) nil nil 1 (w state))
'((7/2 (X . A) (H LAMBDA (X) (CAR (CDR X))))
(7/2 (X CDR A) (H LAMBDA (X) (CAR X)))
(3 (X CAR (CDR A)) (H LAMBDA (X) X))
(5/2 (H LAMBDA (X) (CAR (CDR A))))))
(equal (hld '(h x) '(car (cdr a))
(convert-var-and-fn-alists-to-psubst '((x . a))
nil
(w state))
nil nil 1 (w state))
'((7/2 (H LAMBDA (X) (CAR (CDR X))) (X . A))
(5/2 (H LAMBDA (X) (CAR (CDR A))) (X . A))))
(equal (hld '(h x) '(car (cdr a))
(convert-var-and-fn-alists-to-psubst nil
'((h . car))
(w state))
nil nil 1 (w state))
'((7/2 (X CDR A) (H LAMBDA (X) (CAR X)))))
(equal (hld '(h x) '(car (cdr a))
(convert-var-and-fn-alists-to-psubst nil
'((h . (lambda (x) x)))
(w state))
nil nil 1 (w state))
'((3 (X CAR (CDR A)) (H LAMBDA (X) X)))))
(value t))
(t (er soft 'special "HLD failed the extension test!"))))
(definst map-h-append bumper1)
(definst map-h-append bumper2)
(definst map-h-append bumper3)
(defthm generic-run-sum
(implies (and (integerp i)
(<= 0 i)
(integerp j)
(<= 0 j))
(equal (generic-run s (+ i j))
(generic-run (generic-run s i) j))))
(definst generic-run-sum m5-run)
(defthm generic-list-iterator-append
(equal (generic-list-iterator (append u v) a)
(generic-list-iterator v (generic-list-iterator u a))))
; This one should fail to find an instantiation.
(must-fail
(definst generic-list-iterator-append true-listp)) ; <--- expected to fail!
|
