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» Proving Termination by Bounded Increase
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CADE
2005
Springer
14 years 11 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
ISSAC
2004
Springer
185views Mathematics» more  ISSAC 2004»
14 years 4 months ago
Automatic generation of polynomial loop
In [17], an abstract framework for automatically generating loop invariants of imperative programs was proposed. This framework was then instantiated for the language of conjuncti...
Enric Rodríguez-Carbonell, Deepak Kapur
ENTCS
2002
61views more  ENTCS 2002»
13 years 10 months ago
Effectively Absolute Continuity and Effective Jordan Decomposability
Classically, any absolute continuous real function is of bounded variation and hence can always be expressed as a difference of two increasing continuous functions (socalled Jorda...
Xizhong Zheng, Robert Rettinger, Burchard von Brau...
COMPGEOM
2009
ACM
14 years 5 months ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
CORR
2008
Springer
93views Education» more  CORR 2008»
13 years 11 months ago
Succinctness of the Complement and Intersection of Regular Expressions
Abstract. We study the succinctness of the complement and intersection of regular expressions. In particular, we show that when constructing a regular expression defining the compl...
Wouter Gelade, Frank Neven