In abductive logic programming paradigm following Peirce's ideas, I had been concerned with an abduction research, supported by the Ministry of Education, Science, Sports and Culture Grant-in-Aid Scientific Research (B) (1994-1996), the Royal Society/JSPS (1996) and the Telecommunications Advancement Foundation (1997). I have been studying abductive proof procedures and the constraint in abduction framework, as well as the semantics for general logic programs as theories in abduction. I have made several papers as the publications for the research, and a Japanese book.