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» Complexity Classes as Mathematical Axioms
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ACL
2010
13 years 3 months ago
Complexity Assumptions in Ontology Verbalisation
We describe the strategy currently pursued for verbalising OWL ontologies by sentences in Controlled Natural Language (i.e., combining generic rules for realising logical patterns...
Richard Power
CADE
2004
Springer
14 years 5 months ago
Automatic Generation of Classification Theorems for Finite Algebras
Abstract. Classifying finite algebraic structures has been a major motivation behind much research in pure mathematics. Automated techniques have aided in this process, but this ha...
Simon Colton, Andreas Meier, Volker Sorge, Roy L. ...
ICALP
2001
Springer
13 years 9 months ago
An Axiomatic Approach to Metareasoning on Nominal Algebras in HOAS
We present a logical framework Υ for reasoning on a very general class of languages featuring binding operators, called nominal , presented in higher-order abstract syntax (HOAS)....
Furio Honsell, Marino Miculan, Ivan Scagnetto
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
WWW
2008
ACM
14 years 6 months ago
Trust-based recommendation systems: an axiomatic approach
High-quality, personalized recommendations are a key feature in many online systems. Since these systems often have explicit knowledge of social network structures, the recommenda...
Reid Andersen, Christian Borgs, Jennifer T. Chayes...