A Modified Completeness Theorem of KAT and Decidability of Term Reducibility

@inproceedings{Uramoto2014AMC,
  title={A Modified Completeness Theorem of KAT and Decidability of Term Reducibility},
  author={Takeo Uramoto},
  booktitle={RAMiCS},
  year={2014}
}
Kleene algebra with tests (KAT) was introduced by Kozen as an extension of Kleene algebra (KA). The decidability of equational formulas p = q and Horn formulas ∧ i p i = q i → p = q in KAT has been studied so far by several researchers. Continuing this line of research, this paper studies the decidability of existentially quantified equational formulas ∃ q ∈ P. (p = q) in KAT, where P is a fixed collection of KAT terms. A new completeness theorem of KAT is proved, and via the completeness… 
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Canonical finite models of Kleene algebra with tests

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