1. He is also interested in Computational Musical Analysis and Combinatory Logic . 2. Combinatory logic is the foundation for one style of functional programming language.3. Hence combinatory logic has been used to model some hardware. 4. Haskell Curry studied of illative ( deductive ) combinatory logic in 1941. 5. Combinatory logic can be given a variety of interpretations.6. Proofs in the Hilbert system then correspond to combinator terms in combinatory logic . 7. Closed lambda expressions are also known as combinators and are equivalent to terms in combinatory logic . 8. Dana Scott in the 1960s and 1970s showed how to marry model theory and combinatory logic . 9. Combinatory logic is closely related to lambda calculus, and the same paradoxes exist in each.10. Formal calculi such as the lambda calculus and combinatory logic are now studied as idealized programming languages.
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