from Sonic retro:
Chaos' eventual reappearence (though as mute and inscrutible as ever) atop Holy Summit in Sonic Battle leaves the possiblity that Tikal too may still be around, somewhere.
other:NOTE,This poster has probalby not Played Sonic Battle)
Q: Isn't Tikal dead?
A: Tikal
was born about 4000 years ago, but when she sealed herself and Chaos
into the Master Emerald, they were sealed inside and I assume no time
passed for them, because when Tikal was released, she still was alive
and looked the same as she did in the past, as you see in the end of
Sonic Adventure when she turns back into her true form. I think the
ball of light she could turn into was not her spirit, but one of her
abilities. When Chaos and Tikal rose into the air and disappeared, they
were perhaps going back to the past, to another time that would have
been, or to the Emerald Shrine, or perhaps they even were going to
different times to protect the Chao from anyone who might try to hurt
them. To further prove this theory, the picture at the end of SA showed
Tikal and Chaos at the Emerald shrine; most of the SA ending pictures
took place after the stories. So my answer is no, Tikal is not dead.
So there you go, tikal isnt dead.