搜索程序结构

Gabriel Scherer
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引用次数: 2

摘要

编程语言研究社区喜欢证明和程序之间的Curry-Howard对应关系。Cut-elimination作为计算,定理是免费的,call/cc作为排除中间,依赖类型语言作为证明助手等。然而,这么多年来,我们忽略了一个明显的观察:“程序的结构对应于证明搜索的结构”。对于纯程序和直觉逻辑,后者比前者了解得更多。我们以为我们知道程序是什么,但逻辑学家
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Search for Program Structure
The community of programming language research loves the Curry-Howard correspondence between proofs and programs. Cut-elimination as computation, theorems for free, call/cc as excluded middle, dependently typed languages as proof assistants, etc. Yet we have, for all these years, missed an obvious observation: “the structure of programs corresponds to the structure of proof search”. For pure programs and intuitionistic logic, more is known about the latter than the former. We think we know what programs are, but logicians
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