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SLD-resolution reduction of second-order horn fragments

Abstract:
We present the derivation reduction problem for SLD-resolution, the undecidable problem of finding a finite subset of a set of clauses from which the whole set can be derived using SLD-resolution. We study the reducibility of various fragments of second-order Horn logic with particular applications in Inductive Logic Programming. We also discuss how these results extend to standard resolution.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-19570-0_17

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Publisher:
Springer Verlag Publisher's website
Host title:
Lecture Notes in Computer Science
Journal:
Lecture Notes in Computer Science Journal website
Volume:
11468
Pages:
259-276
Publication date:
2019-05-01
Acceptance date:
2019-01-18
DOI:
ISSN:
0302-9743
ISBN:
9783030195694
Pubs id:
pubs:1007300
UUID:
uuid:8e9bbfbb-4626-48ca-b837-4c4ef1113914
Local pid:
pubs:1007300
Source identifiers:
1007300
Deposit date:
2019-07-18

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