Thank you for refering me to SQL::Abstract, this is where the WHERE clauses are documented. Furthermore, the suggested NOT IN works well, great!
Regarding the two cases listed in my question, I found that
  1. The proper code is $schema->resultset('my_table')->search({ id => {-in => [12,13,17]} }). Note that the r.h.s. of -in is an arrayref, not a string as I guessed initially.
  2. NOT is not yet possible. On SQL::Abstract, it is explained that there is not (yet) any explicit support for SQL compound logic statements like "AND NOT".

In reply to Re: SQL WHERE clauses with DBIx::Class, using NOT and IN by hrr
in thread SQL WHERE clauses with DBIx::Class, using NOT and IN by hrr

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