## Inductive Logic ProgrammingInductive logic programming is a new research area formed at the intersection of machine learning and logic programming. While the influence of logic programming has encouraged the development of strong theoretical foundations, this new area is inheriting its experimental orientation from machine learning. Inductive Logic Programming will be an invaluable text for all students of computer science, machine learning and logic programming at an advanced level. * * Examination of the background to current developments within the area * Identification of the various goals and aspirations for the increasing body of researchers in inductive logic programming * Coverage of induction of first order theories, the application of inductive logic programming and discussion of several logic learning programs * Discussion of the applications of inductive logic programming to qualitative modelling, planning and finite element mesh design |

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Page 31

The most general common instance , e , of a set , E , of atomic formulas , or

, may be found with unification and characterizes the common instances of E : an

The most general common instance , e , of a set , E , of atomic formulas , or

**atoms**, may be found with unification and characterizes the common instances of E : an

**atom**is a common instance of E if and only if it is an instance of e . Likewise ...Page 39

We would like to use a L - generalization to characterize the sorted

E - more general than any given set of sorted

use the LGG of a set of ordinary

...

We would like to use a L - generalization to characterize the sorted

**atoms**that areE - more general than any given set of sorted

**atoms**, in the same way that weuse the LGG of a set of ordinary

**atoms**. But Example 11 shows that there may be...

Page 60

2 Proof Sketch for Lemma 7 We begin by showing that no set of Cn " + n + 2

constrained

do so by showing that if such a set were shattered , there would exist a chain of ...

2 Proof Sketch for Lemma 7 We begin by showing that no set of Cn " + n + 2

constrained

**atoms**is shattered by constrained**atoms**of head size at most n . Wedo so by showing that if such a set were shattered , there would exist a chain of ...

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### Contents

Inductive Logic Programming | 4 |

A Framework for Inductive Logic Programming | 9 |

oor A | 22 |

Copyright | |

26 other sections not shown

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### Common terms and phrases

algorithm allows applied approach arguments assume background knowledge base body called CIGOL CLINT complete Computer concept consistent constrained atoms constraint constructed contains correct corresponding covers defined definition derivation described domain theory efficient equivalent examples exists explanation expression extend facts false Figure finite first-order formula function given GOLEM ground head Horn clauses hypothesis implied inductive inference input instances Intelligence introduced inverse knowledge knowledge base language least limit literals Logic Programming Machine Learning method Muggleton negative examples non-monotonic Note occur operator ordinary polynomial positive positive examples possible predicates present problem Proceedings proof properties prove queries reasoning relation replacing representation representative resolution respect restricted result rules saturation sentences similar sorted atoms space specialization specific step structure substitution symbol Theorem theory tree true values variables