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978-3-030-99336-8_4.pdf | 547.7 kB | Adobe PDF | 見る/開く |
タイトル: | Extracting total Amb programs from proofs |
著者: | Berger, Ulrich Tsuiki, Hideki https://orcid.org/0000-0003-0854-948X (unconfirmed) |
著者名の別形: | 立木, 秀樹 |
発行日: | 2022 |
出版者: | Springer Nature |
誌名: | ESOP 2022: Programming Languages and Systems |
開始ページ: | 85 |
終了ページ: | 113 |
抄録: | We present a logical system CFP (Concurrent Fixed Point Logic) that supports the extraction of nondeterministic and concurrent programs that are provably total and correct. CFP is an intuitionistic first-order logic with inductive and coinductive definitions extended by two propositional operators, B|A (restriction, a strengthening of implication) and ⇊(B) (total concurrency). The source of the extraction are formal CFP proofs, the target is a lambda calculus with constructors and recursion extended by a constructor Amb (for McCarthy’s amb) which is interpreted operationally as globally angelic choice and is used to implement nondeterminism and concurrency. The correctness of extracted programs is proven via an intermediate domain-theoretic denotational semantics. We demonstrate the usefulness of our system by extracting a nondeterministic program that translates infinite Gray code into the signed digit representation. A noteworthy feature of our system is that the proof rules for restriction and concurrency involve variants of the classical law of excluded middle that would not be interpretable computationally without Amb. |
記述: | Part of the Lecture Notes in Computer Science book series (LNCS, volume 13240) |
著作権等: | © The Author(s) 2022 This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. |
URI: | http://hdl.handle.net/2433/281931 |
DOI(出版社版): | 10.1007/978-3-030-99336-8_4 |
出現コレクション: | 学術雑誌掲載論文等 |
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