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2000
Springer
15 years 10 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio
FUZZY
2004
Springer
170views Fuzzy Logic» more  FUZZY 2004»
16 years 3 days ago
Consistency Conditions for Fuzzy Choice Functions
The revealed preference is a central subject in classical consumer theory. Authors like Samuelson, Arrow, Richter, Sen, Uzawa and others have proposed an axiomatic setting of reve...
Irina Georgescu
AAAI
1990
15 years 7 months ago
Skolem Functions and Equality in Automated Deduction
We present a strategy for restricting the application of the inference rule paramodulation. The strategy applies to problems in first-order logic with equality and is designed to ...
William McCune
CORR
2010
Springer
139views Education» more  CORR 2010»
15 years 6 months ago
The Complexity of Satisfiability for Sub-Boolean Fragments of ALC
The standard reasoning problem, concept satisfiability, in the basic description logic ALC is PSPACE-complete, and it is EXPTIMEcomplete in the presence of unrestricted axioms. Sev...
Arne Meier, Thomas Schneider 0002
TASE
2009
IEEE
16 years 1 months ago
Semantics of Metamodels in UML
A modelling language can be defined by a metamodel in UML class diagram. This paper defines the semantics of such metamodels through two mappings: a signature mapping from metamod...
Lijun Shan, Hong Zhu