An axiomatic basis for computer programming
Communications of the ACM
Correspondence between ALGOL 60 and Church's Lambda-notation: part I
Communications of the ACM
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In order to define the semantics of PL/I in a form which is both precise and readable, a method of definition has been developed which employs an abstract machine operating on tree-structured data. The classes of trees involved are defined by formal grammars, while the algorithms governing the behaviour of the machine are expressed semi-formally in prose. This algorithmic metalanguage is itself intended to have largely intuitive semantics, but these are made more precise by an indication of how they could be supported at a lower level of detail within the abstract machine.