Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10333724 | Journal of Logical and Algebraic Methods in Programming | 2016 | 22 Pages |
Abstract
Kleene algebra with tests (KAT) was introduced by Kozen as an extension of Kleene algebra (KA). So far, the decidability of equational formulas (p=q) and Horn formulas (â§ipi=qiâp=q) in KAT has been investigated by several authors. Continuing this line of research, the current paper studies the decidability of existentially quantified equational formulas âqâP.(p=q) in KAT, where P is a fixed collection of KAT terms and plays a role as a parameter of this decision problem. To design a systematic strategy of deciding problems of this form, given in this paper is an effective procedure of constructing from each KAT term p a finite KAT model K(p) that will be called the canonical finite model of the KAT term p. Applications of this construction are presented, proving the decidability of âqâP.(p=q) for several non-trivial P.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Takeo Uramoto,