By Peter W. O’Hearn, Robert D. Tennent
To build a compiler for a latest 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 related approximately such struc turing in compiler texts which are meant to hide a large choice of software ming languages. extra is related within the Iiterature on semantics-directed compiler building  yet the following too the perspective is especially basic (though constrained to at least one languages with a finite variety of syntactic types). at the different handl there's a enormous 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'll describe a style of structuring the interpretation of ALGOL-like languages that's in keeping with the functor-category semantics devel oped by way of Reynolds  and Oles [51 6]. another procedure utilizing type thought to constitution compilers is the early paintings of F. L. Morris 1 which anticipates our remedy of boolean expressionsl yet doesn't care for approaches. 2 kinds and Syntax An ALGOL-like language is a typed lambda calculus with an strange repertoire of primitive forms. all through such a lot of this paper we suppose 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 sorts is the least set containing those primitive kinds and closed below the binary operation -.
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Additional resources for ALGOL-like Languages
I\x. · · · p (n- 1) x · · · in · · · , an nth-level evaluation of the parameter will invoke a chain of n subroutines. However, this inefficiency can be avoided if the programmer (or an optimizing compiler) eliminates the parameter by using a global identifier. In any event, although wehavenot pursued the matter, we expect that more traditional calling conventions should also be expressible within the functor-category framework. 1To correct an error in the previously published version of this paper, the author has changed the displacements in the definitions of f+ and s+ from 3 to 2.
CompiSI7 = i where i = [C]rr,commSI}Si. A less trivial example is the wblle command: wblle b do c def escape einletreck =if b then (c; k) eiseein k, where e and k are identifiers not occuring free in b or c. This definition leads to the translation [wblle b do C]rr,commSI}S' K = i, where i = [b]rr,boolexpS' ([rr]* (S ::s S')q)S' ([c]rr,commS' ([rr]* (S ::s; S')q)S'i, K). This is a correct translation, but i = [b]rr,boolexpSI}S' ([c]rr,commSI7S'i, K) gives a simpler translation with the same denotational behavior that sometimes pops the stack sooner.
For a control structure such as C1; C2, the meaning for any state-set is expressed as a function of the meanings oftheimmediate constituents C1 and C2 for the same state-set. This ensures that "intermediate" states between the executions of C1 and C2 will also belong tothat state-set, without requiring that these intermediate states be explicit in command meanings. A specification now becomes a predicate about state-sets as well as environments. In logic, this is known as "possible-world" semantics (Goldblatt, 1979); here, each set of allowed states is a possible world.