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Details for article 10 of 11 found articles
| Title: |
Partial Conway and Iteration Semirings |
| Author: |
Bloom, Stephen L. Ésik, Zoltan Kuich, Werner |
| Appeared in: |
Fundamenta informaticae |
| Paging: | Volume 86 (2008) nr. 1-2 pages 19-40 |
| Year: |
2008-11-03 |
| Contents: |
A Conway semiring is a semiring S equipped with a unary operation *: S → S, always called 'star', satisfying the sum star and product star identities. It is known that these identities imply a Kleene type theorem. Some computationally important semirings, such as N or N^{rat}≪Σ≫ of rational power series of words on Σ with coefficients in N, cannot have a total star operation satisfying the Conway identities. We introduce here partial Conway semirings, which are semirings S which have a star operation defined only on an ideal of S; when the arguments are appropriate, the operation satisfies the above identities. We develop the general theory of partial Conway semirings and prove a Kleene theorem for this generalization. |
| Publisher: |
IOS Press |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 10 of 11 found articles
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