Yes, APC is not PHP 5.4-compatible yet. There is some work to 
be done on the interned strings support.

I know, but we hope ASAP. :-)

Don't have a 5.4 build right now, but can you try

Index: apc_compile.c
===================================================================
--- apc_compile.c       (revision 313412)
+++ apc_compile.c       (working copy)
@@ -1700,6 +1700,7 @@
     /* Deep-copy the class properties, because they will be modified */
 
 #ifdef ZEND_ENGINE_2_4
+    dst->name = apc_string_pmemcpy(src->name, src->name_length+1, pool TSRMLS_CC); 
        dst->default_properties_count = src->default_properties_count;
     if (src->default_properties_count) {
         dst->default_properties_table = (zval**) apc_php_malloc((sizeof(zval*) * src->default_properties_count) TSRMLS_CC);

same coredumped.

#0  0x0000003bdcc329a5 in raise () from /lib64/libc.so.6
#1  0x0000003bdcc34185 in abort () from /lib64/libc.so.6
#2  0x0000003bdcc6fd5b in __libc_message () from /lib64/libc.so.6
#3  0x0000003bdcc75676 in malloc_printerr () from /lib64/libc.so.6
#4  0x00000000006bb30d in destroy_zend_class (pce=<value optimized out>) at /root/php-5.4.0alpha2/Zend/zend_opcode.c:331
#5  0x00000000006cfc23 in zend_hash_clean (ht=0x2383c90) at /root/php-5.4.0alpha2/Zend/zend_hash.c:596
#6  0x00000000004a18ac in apc_interned_strings_shutdown () at /root/php-5.4.0alpha2/ext/apc/apc_string.c:226
#7  0x000000000049a2a9 in apc_module_shutdown () at /root/php-5.4.0alpha2/ext/apc/apc_main.c:895
#8  0x0000000000491127 in zm_shutdown_apc (type=<value optimized out>, module_number=6) at /root/php-5.4.0alpha2/ext/apc/php_apc.c:373
#9  0x00000000006c8d95 in module_destructor (module=0x23a7c80) at /root/php-5.4.0alpha2/Zend/zend_API.c:2248
#10 0x00000000006cf63b in zend_hash_apply_deleter (ht=0xee6e40, p=0x23a7c20) at /root/php-5.4.0alpha2/Zend/zend_hash.c:650
#11 0x00000000006cf8d8 in zend_hash_graceful_reverse_destroy (ht=0xee6e40) at /root/php-5.4.0alpha2/Zend/zend_hash.c:687
#12 0x00000000006c3ae8 in zend_shutdown () at /root/php-5.4.0alpha2/Zend/zend.c:806
#13 0x000000000066ac4a in php_module_shutdown () at /root/php-5.4.0alpha2/main/main.c:2258
#14 0x000000000076f999 in fpm_php_cleanup (which=<value optimized out>, arg=<value optimized out>) at /root/php-5.4.0alpha2/sapi/fpm/fpm/fpm_php.c:199
#15 0x000000000076823e in fpm_cleanups_run (type=2) at /root/php-5.4.0alpha2/sapi/fpm/fpm/fpm_cleanup.c:45
#16 0x0000000000774c2a in fpm_unix_init_main () at /root/php-5.4.0alpha2/sapi/fpm/fpm/fpm_unix.c:252
#17 0x0000000000767715 in fpm_init (argc=<value optimized out>, argv=<value optimized out>, config=<value optimized out>, prefix=<value optimized out>, pid=<value optimized out>, test_conf=0)
    at /root/php-5.4.0alpha2/sapi/fpm/fpm/fpm.c:55
#18 0x000000000076e2ca in main (argc=3, argv=0x7fff5fd6c9e8) at /root/php-5.4.0alpha2/sapi/fpm/fpm/fpm_main.c:1726

Please try with 5.4.0/5.4.1 with APC 3.1.10

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