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(* Title: Models of Refinement KAT
Author: Victor Gomes, Georg Struth
Maintainer: Victor Gomes <victor.gomes@cl.cam.ac.uk>
Georg Struth <g.struth@sheffield.ac.uk>
*)
subsubsection \<open>Models of Refinement KAT\<close>
theory RKAT_Models
imports RKAT
begin
text \<open>So far only the relational model is developed.\<close>
definition rel_R :: "'a rel \<Rightarrow> 'a rel \<Rightarrow> 'a rel" where
"rel_R P Q = \<Union>{X. rel_kat.H P X Q}"
interpretation rel_rkat: rkat "(\<union>)" "(;)" Id "{}" "(\<subseteq>)" "(\<subset>)" rtrancl "(\<lambda>X. Id \<inter> - X)" rel_R
by (standard, auto simp: rel_R_def rel_kat.H_def)
end
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