All the verbs are intransitive, but not all are acceptable in the there-construction. The diff ference can come from the semantic role of the postverbal NP, as assigned by the main v verbs like arrive, remain, live are taken to assign the semantic role of "theme (see the list of roles above), whereas verbs like sing, run sign an 'agent' role. We thus can conjecture that there-constructions do not accept the verb whose subject carries an agent semantic role.
While semantic roles provide very useful ways of describing properties across different constructions, we should point out that the theoretical status of semantic roles is still unresolved.For example, there is no agreement about exactly which and how many semantic roles are needed. The problem is illustrated by the following simple examples: