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» Reasoning with Axioms: Theory and Practice
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CADE
2004
Springer
16 years 1 months ago
Formalizing Undefinedness Arising in Calculus
Abstract. Undefined terms are commonplace in mathematics, particularly in calculus. The traditional approach to undefinedness in mathematical practice is to treat undefined terms a...
William M. Farmer
IGPL
2008
124views more  IGPL 2008»
15 years 23 days ago
The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Igor Carboni Oliveira, Walter Alexandre Carnielli
ML
2006
ACM
143views Machine Learning» more  ML 2006»
15 years 1 months ago
Mathematical applications of inductive logic programming
The application of Inductive Logic Programming to scientific datasets has been highly successful. Such applications have led to breakthroughs in the domain of interest and have dri...
Simon Colton, Stephen Muggleton
IPPS
1999
IEEE
15 years 5 months ago
A Structured Approach to Parallel Programming: Methodology and Models
Parallel programming continues to be difficult, despite substantial and ongoing research aimed at making it tractable. Especially dismaying is the gulf between theory and the pract...
Berna L. Massingill
ENC
2008
IEEE
15 years 7 months ago
Possibilistic-Based Argumentation: An Answer Set Programming Approach
In many fields of automated information processing it becomes crucial to consider together imprecise, uncertain or inconsistent information. Argumentation theory is a suitable fr...
Juan Carlos Nieves, Ulises Cortés, Mauricio...