Abstract
This paper presents a monotonic system of Post algebras of order ω+ω* whose chain of Post constans is isomorphic with 0≤1≤2≤ ... ≤-3≤-2≤-1. Besides monotonic operations, other unary operations are considered; namely, disjoint operations, the quasi-complement, succesor, and predecessor operations. The successor and predecessor operations are basic for number theory.
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The editing of this unified version of two previous papers [Epstein, Rasiowa 1990, 1991] by the authors was completed, except for footnotes, while the first author visited at Warsaw University during June–July, 1994. The footnotes were added by the first author in September, 1994.
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Epstein, G., Rasiowa, H. A partially ordered extention of the integers. Stud Logica 54, 303–332 (1995). https://doi.org/10.1007/BF01053003
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DOI: https://doi.org/10.1007/BF01053003