## 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 24

We say that Fi is more general than F2 if and only if Fi + F2 . A wff F is satisfiable if

there is a model for F and unsatisfiable otherwise . F is unsatisfiable if and only if

FEO . Let 0 = { v1 / t1 , . . . , Vn / tn } . O is said to be a

We say that Fi is more general than F2 if and only if Fi + F2 . A wff F is satisfiable if

there is a model for F and unsatisfiable otherwise . F is unsatisfiable if and only if

FEO . Let 0 = { v1 / t1 , . . . , Vn / tn } . O is said to be a

**substitution**when each v ...Page 267

A unifier for two terms or literals , t , and t2 , is a

. The

there is no other unifier o for which the unified term tj0 ' is more general than t10 .

A unifier for two terms or literals , t , and t2 , is a

**substitution**, 0 , such that t Q = t20. The

**substitution**O is a most general unifier or MGU of tq and t2 if and only ifthere is no other unifier o for which the unified term tj0 ' is more general than t10 .

Page 347

Therefore , in addition to the

definition of Zo we use a

instantiate the predicate variables . Note that a

Therefore , in addition to the

**substitution**applied to term variables as used in thedefinition of Zo we use a

**substitution**{ applied to predicate variables to rename orinstantiate the predicate variables . Note that a

**substitution**o applied to term ...### What people are saying - Write a review

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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