Tree-Manipulating Systems and Church-Rosser Theorems
Journal of the ACM (JACM)
Recursive functions of symbolic expressions and their computation by machine, Part I
Communications of the ACM
POPL '76 Proceedings of the 3rd ACM SIGACT-SIGPLAN symposium on Principles on programming languages
Recursive definitions of partial functions and their computations
Recursive definitions of partial functions and their computations
Reduction strategies in subtree replacement systems.
Reduction strategies in subtree replacement systems.
The Calculi of Lambda Conversion. (AM-6) (Annals of Mathematics Studies)
The Calculi of Lambda Conversion. (AM-6) (Annals of Mathematics Studies)
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Recent work on computation of functions defined by sets of recursive equations by Cadiou [Ca72], Vuillemin [Vu74] and Downey and Sethi [DS76] depends on semantic interpretations of such equations. A purely syntactic, combinatory approach yields similar results for a much wider class of sets of equations, including sets of defining equations for LISP, Lucid and the combinator calculus. The application to LISP proves several conjectures of Henderson and Morris [HM76].