There is a symbol (hash) table for each task. When a sym is not found, the parent task's sym table is checked. All tasks chain back to the $FG,2$Zenith$FG$ task.
ZenithOS sym tables are implemented with an array of linked-lists. A num is generated from a string by $LK,"HashStr",A="MN:HashStr"$() to index into the array of linked-lists. Multiple strings can generate the same num, so linked-lists are built. Newer entries overshadow older ones.
There are various types of entries. See $LK,"Hash Entry Types",A="MN:HTT_EXPORT_SYS_SYM"$.
$FG,5$Symbol Look-up$FG$ (Used many places including the $LK,"JIT Compiler",A="FF:::/Compiler/Lex.HC,HashFind"$ and $LK,"Loader",A="FF:::/Kernel/KLoad.HC,HashFind"$.)
1) Symbol name is $LK,"hashed",A="MN:SYS_HASH_STR"$ by adding and shifting the ASCII of all chars.
2) $LK,"hash table",A="MN:CHashTable"$->body[] array is indexed.