Partee has nice summary about the formal semantics of relative clause http://people.umass.edu/partee/MGU_2005/MGU05Lec10.pdf (subordinate adjectival clause). E.g.
At least one boy who Mary loves is happy
∃x (boy(x) & loves(x)(Mary) & happy(x))
My question is - is it possible to represent adverbial clauses in such manner? AS far as I know, then https://link.springer.com/article/10.1007/s10849-017-9246-2 is the most up-to-date analysis of adverbs but it does not include analysis of adverbial clauses which seems to be quite intricate thing: it seems to me that entire clause modifies the verb. E.g.
you can sit where you like - the entire clause
you like modifies the verb
sit. And it is big difference from relative clause - relative clause can be separated as standalone clause which has anaphoric pronoun and this separate clause can be added to the knowledge base. But it is quite different - it seems to me - with adverbial clause which is not understandable if it is taken as separate sentence. I.e. - what to do with the word