### Abstract

Summary form only given, as follows. Inference of predicate logic, which is widely used for representation of knowledge in artificial intelligence (AI) systems, is discussed from the viewpoints of source coding and decision theory. Since inference in logic can be regarded as some kind of information transformation, an analogy between inference and source coding can be observed. Inductive inference is regarded as source encoding, because observed facts or examples are compressed into an axiom similar to the compression of a source sequence into a code word. On the other hand, deductive inference is interpreted as decoding. From the viewpoint of decision theory, inductive inference is regarded as the decision problem selecting the collect axiom which represents an observing world. A new inductive inference scheme which induces the minimum Bayes risk is proposed. A method for selecting the axiom which represents the finite observed facts by the minimum description length code is shown.

Original language | English |
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Title of host publication | 1990 IEEE Int Symp Inf Theor |

Place of Publication | Piscataway, NJ, United States |

Publisher | Publ by IEEE |

Pages | 101 |

Number of pages | 1 |

Publication status | Published - 1990 |

Externally published | Yes |

Event | 1990 IEEE International Symposium on Information Theory - San Diego, CA, USA Duration: 1990 Jan 14 → 1990 Jan 19 |

### Other

Other | 1990 IEEE International Symposium on Information Theory |
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City | San Diego, CA, USA |

Period | 90/1/14 → 90/1/19 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*1990 IEEE Int Symp Inf Theor*(pp. 101). Piscataway, NJ, United States: Publ by IEEE.

**On the optimal inductive inference scheme from the view point of source coding.** / Matsushima, Toshiyasu; Suzuki, Joe; Inazumi, Hiroshige; Hirasawa, Shigeichi.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*1990 IEEE Int Symp Inf Theor.*Publ by IEEE, Piscataway, NJ, United States, pp. 101, 1990 IEEE International Symposium on Information Theory, San Diego, CA, USA, 90/1/14.

}

TY - GEN

T1 - On the optimal inductive inference scheme from the view point of source coding

AU - Matsushima, Toshiyasu

AU - Suzuki, Joe

AU - Inazumi, Hiroshige

AU - Hirasawa, Shigeichi

PY - 1990

Y1 - 1990

N2 - Summary form only given, as follows. Inference of predicate logic, which is widely used for representation of knowledge in artificial intelligence (AI) systems, is discussed from the viewpoints of source coding and decision theory. Since inference in logic can be regarded as some kind of information transformation, an analogy between inference and source coding can be observed. Inductive inference is regarded as source encoding, because observed facts or examples are compressed into an axiom similar to the compression of a source sequence into a code word. On the other hand, deductive inference is interpreted as decoding. From the viewpoint of decision theory, inductive inference is regarded as the decision problem selecting the collect axiom which represents an observing world. A new inductive inference scheme which induces the minimum Bayes risk is proposed. A method for selecting the axiom which represents the finite observed facts by the minimum description length code is shown.

AB - Summary form only given, as follows. Inference of predicate logic, which is widely used for representation of knowledge in artificial intelligence (AI) systems, is discussed from the viewpoints of source coding and decision theory. Since inference in logic can be regarded as some kind of information transformation, an analogy between inference and source coding can be observed. Inductive inference is regarded as source encoding, because observed facts or examples are compressed into an axiom similar to the compression of a source sequence into a code word. On the other hand, deductive inference is interpreted as decoding. From the viewpoint of decision theory, inductive inference is regarded as the decision problem selecting the collect axiom which represents an observing world. A new inductive inference scheme which induces the minimum Bayes risk is proposed. A method for selecting the axiom which represents the finite observed facts by the minimum description length code is shown.

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UR - http://www.scopus.com/inward/citedby.url?scp=0025628156&partnerID=8YFLogxK

M3 - Conference contribution

SP - 101

BT - 1990 IEEE Int Symp Inf Theor

PB - Publ by IEEE

CY - Piscataway, NJ, United States

ER -