A recent working paper from the Cross-Industry Working Team for the National Information Infrastructure has produced a similar list of properties which they list under the following headings: stability of monetary value, exchangeability, retrievably, tamper-resistance. They also list as desirable properties of transactions: non-refutable, accessible, reliable, private, protected. See http://cnri.reston.va.us:3000/XIWT/public.html
For example, law enforcement access to information is conditional upon the ability to obtain a warrant.
This is a constraint on government receipt of information, not bank disclosure. Fourth Amendment protection applies to personal records held by banks.
Law enforcement may have access to full information about a purchase if the merchant keeps records.
If a payor's bank does not report to the payee's bank that the payor has insufficient funds in a timely manner the payor's bank becomes responsible for making good the check.