@article {IOPORT.01059581, author = {Hodges, Wilfrid}, title = {Compositional semantics for a language of imperfect information.}, year = {1997}, journal = {Logic Journal of the IGPL}, volume = {5}, number = {4}, issn = {1367-0751}, pages = {539-563}, publisher = {Oxford University Press, Oxford}, doi = {10.1093/jigpal/5.4.539}, abstract = {Summary: We describe a logic which is the same as first-order logic except that it allows control over the information that passes down from formulas to subformulas. For example, the logic is adequate to express branching quantifiers. We describe a compositional semantics for this logic; in particular this gives a compositional meaning to formulas of the `information-friendly' language of Hintikka and Sandu. For first-order formulas the semantics reduces to Tarski's semantics for first-order logic. We prove that two formulas have the same interpretation in all structures if and only if replacing an occurrence of one by an occurrence of the other in a sentence never alters the truth-value of the sentence in any structure.}, identifier = {01059581}, }