Abstract
Combinatory logic (Curry and Feys, 1958) is a “variable-free” alternative to the lambda calculus. The two have the same expressive power but build their expressions differently. “Variable-free” semantics is, more precisely, “free of variable binding”: it has no operation like abstraction that turns a free variable into a bound one; it uses combinators—operations on functions—instead. For the general linguistic motivation of this approach, see the works of Steedman, Szabolcsi, and Jacobson, among others.
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Szabolcsi, A. (2003). Binding on the Fly: Cross-Sentential Anaphora in Variable-Free Semantics. In: Kruijff, GJ.M., Oehrle, R.T. (eds) Resource-Sensitivity, Binding and Anaphora. Studies in Linguistics and Philosophy, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0037-6_8
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DOI: https://doi.org/10.1007/978-94-010-0037-6_8
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