By Peter W. O’Hearn, Robert D. Tennent
To build a compiler for a contemporary higher-level programming languagel one must constitution the interpretation to a machine-like intermediate language in a fashion that displays the semantics of the language. little is expounded approximately such struc turing in compiler texts which are meant to hide a wide selection of application ming languages. extra is related within the Iiterature on semantics-directed compiler building  yet the following too the perspective is particularly basic (though restricted to at least one languages with a finite variety of syntactic types). at the different handl there's a substantial physique of labor utilizing the continuation-passing transformation to constitution compilers for the categorical case of call-by-value languages similar to SCHEME and ML [21 3]. ln this paperl we are going to describe a style of structuring the interpretation of ALGOL-like languages that's in line with the functor-category semantics devel oped through Reynolds  and Oles [51 6]. another process utilizing class conception to constitution compilers is the early paintings of F. L. Morris 1 which anticipates our remedy of boolean expressionsl yet doesn't take care of techniques. 2 varieties and Syntax An ALGOL-like language is a typed lambda calculus with an strange repertoire of primitive varieties. all through such a lot of this paper we imagine that the primi tive varieties are comm(and) int(eger)exp(ression) int(eger)acc(eptor) int(eger)var(iable) I and that the set eight of varieties is the least set containing those primitive forms and closed below the binary operation -.
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Then, by the definition of -, if [C]Xu(f,Q ;g,R; rz1; rz2)Zo is defined, it is equal to [C]X u(f, Q; g,R; r Zv)Zo. I For new-variable declarations, we first define a functor expandT: X- X for each data type T as follows: expandT (X) = X X [T ]X expandT(f, Q:X- Y) = fT, QT where fT(x, v) = (f(x), v) and (xo, Vo) QT (x1, v1) iff xoQx1. ::____:..
R1. \S'" . \rz. ßS"'(rl + rz))))). 9 Variable Declarations The other construct for which translation involves storage allocation is the variable declaration. Suppose c is a command in which free occurrences of the identifier L have type intvar. Then the translation of the command new t: intvar in c gives an instruction sequence that allocates a new variable, initializes it (say, to zero), executes c, deallocates the new variable, and finally executes the continuation to be done after the whole command.
496-517.  Reynolds, J. C. The essence of ALGOL In Algorithmic Languages, Proceedings of the International Symposium on Algorithmic Languages, Amsterdam, October 26-29, edited by J. W. de Bakker and J. C. van Vliet. North-Holland, Amsterdam, 1981, pp. 345-372. See Chapter 3. [5) Oles, F. j. A Category-Theoretic Approach to the Semantics of Programming Languages, Ph. D. Dissertation. Syracuse University, August 1982, vi+240 pp. See Chapter 11. [6) Oles, F. J. Type algebras, functor categories, and block structure.