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» Generating all polynomial invariants in simple loops
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SAS
2010
Springer
140views Formal Methods» more  SAS 2010»
14 years 7 months ago
Multi-dimensional Rankings, Program Termination, and Complexity Bounds of Flowchart Programs
Abstract. Proving the termination of a flowchart program can be done by exhibiting a ranking function, i.e., a function from the program states to a wellfounded set, which strictl...
Christophe Alias, Alain Darte, Paul Feautrier, Lau...
COLT
2010
Springer
14 years 7 months ago
Open Loop Optimistic Planning
We consider the problem of planning in a stochastic and discounted environment with a limited numerical budget. More precisely, we investigate strategies exploring the set of poss...
Sébastien Bubeck, Rémi Munos
108
Voted
FOSSACS
2004
Springer
15 years 2 months ago
Polynomials for Proving Termination of Context-Sensitive Rewriting
Abstract. We show how to generate well-founded and stable term orderings based on polynomial interpretations over the real numbers. Monotonicity (another usual requirement in termi...
Salvador Lucas
CAGD
2008
292views more  CAGD 2008»
14 years 9 months ago
Rotations, translations and symmetry detection for complexified curves
A plane algebraic curve can be represented as the zero-set of a polynomial in two - or if one takes homogenous coordinates: three - variables. The coefficients of the polynomial de...
Peter Lebmeir, Jürgen Richter-Gebert
KBSE
2008
IEEE
15 years 3 months ago
Automatic Inference of Frame Axioms Using Static Analysis
Many approaches to software verification are currently semi-automatic: a human must provide key logical insights — e.g., loop invariants, class invariants, and frame axioms tha...
Zvonimir Rakamaric, Alan J. Hu