Freeman Dyson worked on an Orion project which was reflected in Anderson's Orion Shall Rise and Niven's & Pournelle's Footfall.
Dyson foresaw the greening of the universe: Anderson's Harvest Of Stars.
a fractally dendritic robotic "bush" (!);
human personalities transferred to computer matrices with robotic bodies;
self-improving AI's surpassing and succeeding humanity.
These ideas are variously in Harvest Of Stars, The Boat Of A Million Years and Genesis. Anderson comments:
"It seems unlikely to me that humankind will either go gently into that dark night or settle down as parasites on the machines." (p. 243)
Needless to say, his novels cover both human extinction because of AI's and human independence of AI's.
Tipler demonstrated FTL and time travel compatible with relativity: The Avatar by Anderson and a short story by Niven.
Barrow and Tipler argued that intelligence might be unique to Earth: Harvest Of Stars and Genesis.
To be continued.