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17 years 5 months ago
Div, Grad, Curl, and All That: An Informal Text on Vector Calculus
When I started reading about level set methods, I realized that I must have strong mathematical background in several math areas such as differential geometry, vector calculus, par...
H. M. Schey
CADE
2008
Springer
16 years 4 months ago
On Automating the Calculus of Relations
Relation algebras provide abstract equational axioms for the calculus of binary relations. They name an established area of mathematics with various applications in computer scienc...
Georg Struth, Peter Höfner
CADE
2007
Springer
16 years 4 months ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
CADE
2006
Springer
16 years 4 months ago
Strong Cut-Elimination Systems for Hudelmaier's Depth-Bounded Sequent Calculus for Implicational Logic
Abstract. Inspired by the Curry-Howard correspondence, we study normalisation procedures in the depth-bounded intuitionistic sequent calculus of Hudelmaier (1988) for the implicati...
Roy Dyckhoff, Delia Kesner, Stéphane Lengra...
ADC
2008
Springer
146views Database» more  ADC 2008»
15 years 10 months ago
A Typed Higher-Order Calculus for Querying XML Databases
As the eXtensible Markup Language (XML) is about to emerge as a new standard for databases, the problem of providing solid logical grounds for XML query languages arises. For the ...
Qing Wang, Klaus-Dieter Schewe