Presentation 1999/3/19
A Basic Framework for Infinite Computation and Infinite Terms
Kiyoshi Akama, Yoshinori Shigeta, Eiichi Miyamoto,
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Abstract(in English) There are some logic programs that do not terminate and yet are doing useful computation, in some sense. To give appropriate sense of infinite computation being "userul," a theory of logic programming has adopted greatest fixpoints of operators on the set of finite or infinite ground atoms since usual least fix point approach does not work in this case. However, this approach can not explain finite and infinite computation in a unified mannar. We propose a new approach to infinite computation based on equivalent transformation paradigm, where infinite computation is regarded as equivalent transformation and is given appropriate sense in the same way as usual finite computation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) infinite computation / infinite term / greatest fixpoint / equivalent transformation
Paper # SS98-64
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Conference Date 1999/3/19(1days)
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Registration To Software Science (SS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Basic Framework for Infinite Computation and Infinite Terms
Sub Title (in English)
Keyword(1) infinite computation
Keyword(2) infinite term
Keyword(3) greatest fixpoint
Keyword(4) equivalent transformation
1st Author's Name Kiyoshi Akama
1st Author's Affiliation Division of System and Information Engineering, Hokkaido University()
2nd Author's Name Yoshinori Shigeta
2nd Author's Affiliation Division of System and Information Engineering, Hokkaido University
3rd Author's Name Eiichi Miyamoto
3rd Author's Affiliation Division of System and Information Engineering, Hokkaido University
Date 1999/3/19
Paper # SS98-64
Volume (vol) vol.98
Number (no) 676
Page pp.pp.-
#Pages 8
Date of Issue