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Graal : A Functional Programming system with uncurryfied combinators and its reduction machine [chapter]

Patrick Bellot
1986 Lecture Notes in Computer Science  
This article describes GRAAL (General Recursive Applicative and Algorithmic Language), a functional programming language and its virtual reduction machine.  ...  Bellot and B. Robinet Functional proqrammin q w~th ~Lngurryf~ed combinators, First Workshop on Reduction Machines, to appear in LNC8, Ustica (Italy), 1985. [6] [8] J.H.  ... 
doi:10.1007/3-540-16442-1_6 fatcat:6gmyqzxsa5hjzjamiyr5nrcoxy

Proposal for a natural formalization of functional programming concepts

Patrick Bellot, Djamil Sarni
1988 RAIRO - Theoretical Informatics and Applications  
The list can be a linked list constructed with a pairing operator or a tuple of values [2] , Lisp Systems and FP Systems use this method and it is possible to program functions with variable arity.  ...  Définitions of primitive functions and functionals are given using réduction rules. Consequently, Graal is implemented as a virtual graph réduction machine running on Von Neumann architectures [7] .  ... 
doi:10.1051/ita/1988220303411 fatcat:4oytquplojdrph4pc4ewalb5hi

Extending functional programming towards relations [chapter]

Remi Legrand
1988 Lecture Notes in Computer Science  
The first section presents the main features of the proposed language and it is shown how relations make programs more flexible and natural.  ...  Because a function is a particular case of relation, we can consider the computation of points-to-set processes (relations) instead of points-to-point processes (functions).  ...  Bellot and V. Jay for their generous contribution to this paper. I also thank O. Danvy, A. Belkhir, D. Sarni and C.T. Lieu for interesting discussions.  ... 
doi:10.1007/3-540-19027-9_14 fatcat:jub4h7beybdgpc5kkzrzlokz5y

A theory for natural modelisation and implementation of functions with variable arity [chapter]

Patrick Bellot, Véronique Jay
1987 Lecture Notes in Computer Science  
graph reduction machines.  ...  The aim of this article is to provide a new theorical framework based on combinators for the study and implementation of applicative programming languages.  ...  Graal has been designed using uncurryfied combinators for efficiency and generalized functional forms of FP systems for clarity.  ... 
doi:10.1007/3-540-18317-5_13 fatcat:d6eiaxwmmrcgrnnov6gbqklhsy