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JELIA
1998
Springer
14 years 3 months ago
Higher Order Generalization
Generalization is a fundamental operation of inductive inference. While rst order syntactic generalization anti-uni cation is well understood, its various extensions are needed in...
Jianguo Lu, Masateru Harao, Masami Hagiya
FOSSACS
2003
Springer
14 years 4 months ago
Generalized Iteration and Coiteration for Higher-Order Nested Datatypes
Abstract. We solve the problem of extending Bird and Paterson’s generalized folds for nested datatypes and its dual to inductive and coinductive constructors of arbitrarily high ...
Andreas Abel, Ralph Matthes, Tarmo Uustalu
ICML
1989
IEEE
14 years 3 months ago
Higher-Order and Modal Logic as a Framework for Explanation-Based Generalization
Logic programming provides a uniform framework in which all aspects of explanation-based generalization and learning may be defined and carried out, but first-order Horn logic i...
Scott Dietzen, Frank Pfenning
CORR
2008
Springer
148views Education» more  CORR 2008»
13 years 9 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
BIRTHDAY
2004
Springer
14 years 4 months ago
Pure Type Systems in Rewriting Logic: Specifying Typed Higher-Order Languages in a First-Order Logical Framework
Abstract. The logical and operational aspects of rewriting logic as a logical framework are tested and illustrated in detail by representing pure type systems as object logics. Mor...
Mark-Oliver Stehr, José Meseguer