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arXiv 1809.03094cs.LO
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并行程序的经典证明

Classical Proofs as Parallel Programs

Federico Aschieri, Agata Ciabattoni, Francesco Antonio Genco

摘要:

我们介绍了经典逻辑的第一个证明作为并行程序的对应。我们定义了一个并行的和更强大的扩展的简单类型的λ演算对应的分析自然演绎的基础上排中律。由此产生的函数式语言具有进程之间的自然高阶通信机制,也支持广播。规范化过程使用了实现处理和传输进程闭包的新技术的归约。

英文摘要:

We introduce a first proofs-as-parallel-programs correspondence for classical logic. We define a parallel and more powerful extension of the simply typed lambda calculus corresponding to an analytic natural deduction based on the excluded middle law. The resulting functional language features a natural higher-order communication mechanism between processes, which also supports broadcasting. The normalization procedure makes use of reductions that implement novel techniques for handling and transmitting process closures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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