Title
Restricted higher-order anti-unification for analogy making
Abstract
Anti-unification has often be used as a tool for analogy making. But while first-order anti-unification is too simple for many applications, general higher-order anti-unification is too complex and leads into theoretical difficulties. In this paper we present a restricted framework for higher-order substitutions and show that anti-unification is well-defined in this setting. A complexity measure for generalizations can be introduced in a quite natural way, which allows for selecting preferred generalizations. An algorithm for computing such generalizations is presented and the utility of complexity for anti-unifying sets of terms is discussed by an extended example.
Year
DOI
Venue
2007
10.1007/978-3-540-76928-6_29
Australian Conference on Artificial Intelligence
Keywords
Field
DocType
complexity measure,general higher-order anti-unification,restricted framework,first-order anti-unification,restricted higher-order anti-unification,theoretical difficulty,preferred generalization,extended example,anti-unifying set,analogy making,higher-order substitution,higher order
Discrete mathematics,Anti-unification,Algebra,Generalization,Analogy,Information complexity,Mathematics
Conference
Volume
ISSN
ISBN
4830
0302-9743
3-540-76926-9
Citations 
PageRank 
References 
21
1.33
4
Authors
4
Name
Order
Citations
PageRank
Ulf Krumnack18713.03
Angela Schwering231931.11
Helmar Gust314322.86
Kai-uwe Kühnberger421128.67