@misc{cogprints4703,
          volume = {12},
           title = {A Relational Formulation of the Theory of Types},
          author = {Reinhard Muskens},
            year = {1989},
           pages = {325--346},
         journal = {Linguistics and Philosophy},
        keywords = {type theory, semantics, eta operator, lambda operator},
             url = {http://cogprints.org/4703/},
        abstract = {This paper developes a relational---as opposed to a functional---theory of types. The theory is based on Hilbert and Bernays' eta operator plus the identity symbol,  from which Church's lambda and the other usual operators are then defined. The logic is intended for use in the semantics of natural language.}
}

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