On the expressive power of Kleene algebra with domain.

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Title: On the expressive power of Kleene algebra with domain.
Authors: Struth, Georg1 g.struth@sheffield.ac.uk
Source: Information Processing Letters. Apr2016, Vol. 116 Issue 4, p284-288. 5p.
Subjects: Kleene algebra, Power law (Mathematics), Semirings (Mathematics), Hoare logic, Numerical analysis
Abstract: It is shown that antidomain semirings are more expressive than test semirings and that Kleene algebras with domain are more expressive than Kleene algebras with tests. It is also shown that Kleene algebras with domain are expressive for propositional Hoare logic whereas Kleene algebras with tests are not. [ABSTRACT FROM AUTHOR]
Copyright of Information Processing Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 112665750
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  Data: On the expressive power of Kleene algebra with domain.
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  Data: <searchLink fieldCode="JN" term="%22Information+Processing+Letters%22">Information Processing Letters</searchLink>. Apr2016, Vol. 116 Issue 4, p284-288. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Kleene+algebra%22">Kleene algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Power+law+%28Mathematics%29%22">Power law (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Semirings+%28Mathematics%29%22">Semirings (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hoare+logic%22">Hoare logic</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
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  Data: It is shown that antidomain semirings are more expressive than test semirings and that Kleene algebras with domain are more expressive than Kleene algebras with tests. It is also shown that Kleene algebras with domain are expressive for propositional Hoare logic whereas Kleene algebras with tests are not. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Information Processing Letters is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.ipl.2015.11.007
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      – Code: eng
        Text: English
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        PageCount: 5
        StartPage: 284
    Subjects:
      – SubjectFull: Kleene algebra
        Type: general
      – SubjectFull: Power law (Mathematics)
        Type: general
      – SubjectFull: Semirings (Mathematics)
        Type: general
      – SubjectFull: Hoare logic
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      – SubjectFull: Numerical analysis
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      – TitleFull: On the expressive power of Kleene algebra with domain.
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              Text: Apr2016
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              Y: 2016
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