A partially ordered extention of the integers

Studia Logica 54 (3):303 - 332 (1995)
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This paper presents a monotonic system of Post algebras of order +* whose chain of Post constans is isomorphic with 012 ... -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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References found in this work

An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Amsterdam, Netherlands: Warszawa, Pwn - Polish Scientific Publishers.
The Mathematics of Metamathematics.Helena Rasiowa - 1963 - Warszawa, Państwowe Wydawn. Naukowe.
A Proof of the Completeness Theorem of Godel.H. Rasiowa & R. Sikorski - 1952 - Journal of Symbolic Logic 17 (1):72-72.
On the Representation of Quasi-Boolean Algebras.A. Bialynicki-Birula & H. Rasiowa - 1957 - Journal of Symbolic Logic 22 (4):370-370.

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