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...
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| Hauptverfasser: | , , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Logical Methods in Computer Science e.V.
2021-07-01
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| Schriftenreihe: | Logical Methods in Computer Science |
| Schlagworte: | |
| Online-Zugang: | https://lmcs.episciences.org/5916/pdf |
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