接球和抛出机制的建设性形式化

Hiroshi Nakano
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引用次数: 25

摘要

catch/throw机制是一种用于非局部退出的编程结构,在程序员处理异常情况时起着重要作用。给出了在证明即程序概念中捕获机制的建设性形式化。介绍了LJ的一个改进版本,它配备了与catch和throw操作相对应的推理规则。然后表明,在一定的可实现性解释下,实际上可以从证明中提取利用catch/throw机制的程序。尽管catch/throw机制只提供了对当前continuation的有限访问,但这种表述仍然具有建设性。
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A constructive formalization of the catch and throw mechanism
The catch/throw mechanism, a programming construct for nonlocal exit, plays an important role when programmers handle exceptional situations. A constructive formalization that captures the mechanism in the proofs-as-programs notion is given. A modified version of LJ equipped with inference rules corresponding to the operations of catch and throw is introduced. Then it is shown that one can actually extract programs that made use of the catch/throw mechanism from proofs under a certain realizability interpretation. Although the catch/throw mechanism provides only a restricted access to the current continuation, the formulation remains constructive.<>
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