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By Dáithí Ó hÓgáin

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For example, it can detect dead code that will never be executed, and code that will be executed at most once. Other type systems can guarantee absence of certain kinds of programming error such as deadlock. If it is known that no type can be deduced for such an erroneous program, then type consistency ensures that the error can never occur a run time. Because type systems enforce disciplined interaction, well-typed programs often obey additional laws, useful both for comprehension and for optimisation.

Jones machine addresses which an implementation might use. So far, so good. Unfortunately it was found necessary to retain the whole stack of active environments in the state. Although the VDL definitions were operational in the sense that they computed a (set of) final outcome(s) for a given pair of program and initial state, they were certainly not Structured Operational Semantic descriptions. This negative statement goes beyond the contrast with the neat inference rule style of [70]; it is more aimed at the way in which complex machinery had crept into the state.

It turns out that a great many algebraic laws are common to nearly all paradigms, but it is the laws that they do not share that are even more interesting. The fundamental property that distinguishes two paradigms is often very neatly expressed by an algebraic law, free of all the clutter of detail involved in a formal definition, and unaltered when the detail changes. For example, functional programming languages are classified as lazy or nonlazy. In a non-lazy language, each function evaluates its arguments first, so if an argument aborts, so does the function call.

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