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» The Invariant Package of MAS
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VMCAI
2010
Springer
15 years 9 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
15 years 5 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»
14 years 11 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»
15 years 5 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»
13 years 7 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