---- CR(R cup S)
---- [Klein and Hirokawa, 2012]
R:
f(x,x) -> a()
S:
c() -> h(c(),g(c()))
h(g(x),g(x)) -> f(x,h(x,g(c())))
CP_S(R):

CR(S):
see below.

---- CR(R cup S)
---- [Klein and Hirokawa, 2012]
R:
h(g(x),g(x)) -> f(x,h(x,g(c())))
S:
c() -> h(c(),g(c()))
CP_S(R):

CR(S):
see below.

---- CR(R)
---- [Hirokawa and Middeldorp, 2011]
R:
c() -> h(c(),g(c()))
CPS'(R):

CP(R):