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» The Invariant Package of MAS
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VMCAI
2010
Springer
14 years 7 months ago
Invariant and Type Inference for Matrices
We present a loop property generation method for loops iterating over multi-dimensional arrays. When used on matrices, our method is able to infer their shapes (also called types),...
Thomas A. Henzinger, Thibaud Hottelier, Laura Kov&...
ICCS
2005
Springer
14 years 3 months ago
Bifurcation Analysis of Large Equilibrium Systems in Matlab
The Continuation of Invariant Subspaces (CIS) algorithm produces a smoothly varying basis for an invariant subspace R(s) of a parameter-dependent matrix A(s). In the case when A(s)...
David Bindel, James Demmel, Mark J. Friedman, Will...
JAR
2008
89views more  JAR 2008»
13 years 9 months ago
An Extensible Encoding of Object-oriented Data Models in hol
Abstract We present an extensible encoding of object-oriented data models into higherorder logic (HOL). Our encoding is supported by a datatype package that leverages the use of th...
Achim D. Brucker, Burkhart Wolff
ISSAC
2004
Springer
185views Mathematics» more  ISSAC 2004»
14 years 3 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
CORR
2012
Springer
183views Education» more  CORR 2012»
12 years 5 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan