Algol-like Languages, 1997
Progress in Theoretical Computer Science Series

To construct a compiler for a modern higher-level programming languagel one needs to structure the translation to a machine-like intermediate language in a way that reflects the semantics of the language. little is said about such struc­ turing in compiler texts that are intended to cover a wide variety of program­ ming languages. More is said in the Iiterature on semantics-directed compiler construction [1] but here too the viewpoint is very general (though limited to 1 languages with a finite number of syntactic types). On the other handl there is a considerable body of work using the continuation-passing transformation to structure compilers for the specific case of call-by-value languages such as SCHEME and ML [21 3]. ln this paperl we will describe a method of structuring the translation of ALGOL-like languages that is based on the functor-category semantics devel­ oped by Reynolds [4] and Oles [51 6]. An alternative approach using category theory to structure compilers is the early work of F. L. Morris [7]1 which anticipates our treatment of boolean expressionsl but does not deal with procedures. 2 Types and Syntax An ALGOL-like language is a typed lambda calculus with an unusual repertoire of primitive types. Throughout most of this paper we assume that the primi­ tive types are comm(and) int(eger)exp(ression) int(eger)acc(eptor) int(eger)var(iable) I and that the set 8 of types is the least set containing these primitive types and closed under the binary operation -.

11 Functor Categories and Store Shapes.- 12 Using Functor Categories to Generate Intermediate Code.- 13 Semantical Analysis of Specification Logic.- 14 Semantical Analysis of Specification Logic, 2.- 15 Full Abstraction for the Second-Order Subset.- 16 Parametricity and Local Variables.- 17 Operationally-Based Reasoning About Local Variables.- 18 Syntactic Control of Interference Revisited.- 19 Global State Considered Unnecessary.- 20 Linearity, Sharing and State.- 21 The Essence of Parallel Algol.- of Volume 1.