Computer Science > Logic in Computer Science
[Submitted on 10 Sep 2018]
Title:Classical Proofs as Parallel Programs
View PDFAbstract: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.
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Mon, 10 Sep 2018 02:30:10 UTC (495 KB)
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