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 96
Since all elements of Ps n ( T ( i + 2 ) - T ( i + 1 ) ] must be implied by at least one
element of the previous set , one can see by induction that Ps n ( T ( j ) - T ( i ) ] is
empty for all j > i . Hence if S does not occur in T ( i ) it is not implied by T . O ...
Since all elements of Ps n ( T ( i + 2 ) - T ( i + 1 ) ] must be implied by at least one
element of the previous set , one can see by induction that Ps n ( T ( j ) - T ( i ) ] is
empty for all j > i . Hence if S does not occur in T ( i ) it is not implied by T . O ...
Page 105
The proof will refer to the following algorithm : begin F + : = 0 ; F _ : = 0 ; L : = 0 ; T
: = 0 ; do forever begin read a fact ( M , v ) and place M in Fu ; FLAG : = false ;
while there is a ME F7 not implied by T or there is a ME F _ implied by T do begin
...
The proof will refer to the following algorithm : begin F + : = 0 ; F _ : = 0 ; L : = 0 ; T
: = 0 ; do forever begin read a fact ( M , v ) and place M in Fu ; FLAG : = false ;
while there is a ME F7 not implied by T or there is a ME F _ implied by T do begin
...
Page 169
In the first case , CLINT will add a number of facts / clauses to the knowledge
base K B that imply the positive example . ... ( c ) endwhile endproc procedure
handle _ constraint ( c : constraint ) if c is a negative example that is implied by
KB then ...
In the first case , CLINT will add a number of facts / clauses to the knowledge
base K B that imply the positive example . ... ( c ) endwhile endproc procedure
handle _ constraint ( c : constraint ) if c is a negative example that is implied by
KB then ...
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Contents
Inductive Logic Programming | 4 |
A Framework for Inductive Logic Programming | 9 |
oor A | 22 |
Copyright | |
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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