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Presburger Arithmetic with algebraic scalar multiplications

We consider Presburger arithmetic (PA) extended by scalar multiplication by an algebraic irrational number $\alpha$, and call this extension $\alpha$-Presburger arithmetic ($\alpha$-PA). We show that the complexity of deciding sentences in $\alpha$-PA is substantially harder than in PA. Indeed, when...

詳細記述

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書誌詳細
主要な著者: Philipp Hieronymi, Danny Nguyen, Igor Pak
フォーマット: Artigo
言語:Inglês
出版事項: Logical Methods in Computer Science e.V. 2021-07-01
シリーズ:Logical Methods in Computer Science
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オンライン・アクセス:https://lmcs.episciences.org/5916/pdf
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