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Completeness of Finitely Weighted Kleene Algebra with Tests

  • 2024
  • OriginalPaper
  • Chapter
Published in:
Author
Igor Sedlár
Published in
Logic, Language, Information, and Computation
Publisher
Springer Nature Switzerland

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Abstract

The chapter delves into the completeness of finitely weighted Kleene algebra with tests, building on previous work by Ésik and Kuich. It establishes two key completeness results: one with respect to the algebra of weighted guarded languages and another with respect to weighted transition systems. The authors introduce a more general and simpler definition of weighted Kleene algebra with tests, highlighting its practical relevance despite the simplification of finitely weighted structures. The chapter also discusses applications in reasoning about weighted programs, providing a fresh perspective on equational reasoning in computational contexts. Through detailed proofs and examples, the authors demonstrate the robustness of their framework, making the chapter a valuable resource for researchers and practitioners in formal languages and computational theory.
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previous chapter Lambek Calculus with Banged Atoms for Parasitic Gaps
next chapter Modal Hyperdoctrine: Higher-Order and Non-normal Extensions
Title
Completeness of Finitely Weighted Kleene Algebra with Tests
Author
Igor Sedlár
Copyright Year
2024
Book
Logic, Language, Information, and Computation

Print ISBN: 978-3-031-62686-9

Electronic ISBN: 978-3-031-62687-6

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-62687-6_14
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