The ring of p-adic integers can be embedded as the maximal elements in a Scott domain with algebraic structure. We show how definitions and proofs in the mathematical theory of p-adics can be replaced by algorithms on the partial elements and formal programming methods working on the algorithms. Certain types of argument translate naturally into non-deterministic algorithms using the Smyth power domain.
CITATION STYLE
Vickers, S. (1988). An algorithmic approach to p-adic integers. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 298 LNCS, pp. 599–615). Springer Verlag. https://doi.org/10.1007/3-540-19020-1_31
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