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JSYML
2010
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12 years 11 months ago
Formalizing non-standard arguments in second-order arithmetic
In this paper, we introduce the systems ns-ACA0 and ns-WKL0 of non-standard second-order arithmetic in which we can formalize non-standard arguments in ACA0 and WKL0, respectively...
Keita Yokoyama
SOCO
2008
Springer
13 years 4 months ago
Strong non-standard completeness for fuzzy logics
In this paper we are going to introduce the notion of strong non-standard completeness (SNSC) for fuzzy logics. This notion naturally arises from the well known construction by ul...
Tommaso Flaminio
ECAI
2010
Springer
13 years 6 months ago
A Unified Framework for Non-standard Reasoning Services in Description Logics
Non-standard reasoning in Description Logics (DLs) comprises computing a Least Common Subsumer (LCS), a Concept Difference, a Concept Unifier, or an Interpolant Concept, to name a ...
Simona Colucci, Tommaso Di Noia, Eugenio Di Sciasc...