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A Syntactic Operator for Forgetting that Satisfies Strong Persistence

Published online by Cambridge University Press:  20 September 2019

MATTI BERTHOLD ,
RICARDO GONÇALVES Open the ORCID record for RICARDO GONÇALVES [Opens in a new window] ,
MATTHIAS KNORR Open the ORCID record for MATTHIAS KNORR [Opens in a new window]  and
JOÃO LEITE
MATTI BERTHOLD
Affiliation:
Technische Universität Dresden and Universität Leipzig, Germany
RICARDO GONÇALVES
Affiliation:
NOVA LINCS, Departamento de Informática, Universidade Nova de Lisboa, Portugal
MATTHIAS KNORR
Affiliation:
NOVA LINCS, Departamento de Informática, Universidade Nova de Lisboa, Portugal
JOÃO LEITE
Affiliation:
NOVA LINCS, Departamento de Informática, Universidade Nova de Lisboa, Portugal
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Abstract

Whereas the operation of forgetting has recently seen a considerable amount of attention in the context of Answer Set Programming (ASP), most of it has focused on theoretical aspects, leaving the practical issues largely untouched. Recent studies include results about what sets of properties operators should satisfy, as well as the abstract characterization of several operators and their theoretical limits. However, no concrete operators have been investigated.

In this paper, we address this issue by presenting the first concrete operator that satisfies strong persistence – a property that seems to best capture the essence of forgetting in the context of ASP – whenever this is possible, and many other important properties. The operator is syntactic, limiting the computation of the forgetting result to manipulating the rules in which the atoms to be forgotten occur, naturally yielding a forgetting result that is close to the original program.

Keywords

Answer Set ProgrammingForgettingStrong PersistenceSyntactic Operator
Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 19 , Special Issue 5-6: 35th International Conference on Logic Programming , September 2019 , pp. 1038 - 1055
Copyright
© Cambridge University Press 2019 

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