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» Termination of Polynomial Programs
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119
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CADE
2009
Springer
16 years 1 months ago
Solving Non-linear Polynomial Arithmetic via SAT Modulo Linear Arithmetic
Abstract. Polynomial constraint-solving plays a prominent role in several areas of engineering and software verification. In particular, polynomial constraint solving has a long an...
Albert Rubio, Cristina Borralleras, Enric Rodr&iac...
113
Voted
ERSHOV
2009
Springer
15 years 7 months ago
A Complete Invariant Generation Approach for P-solvable Loops
Abstract. We present an algorithm for generating all polynomial invariants of Psolvable loops with assignments and nested conditionals. We prove termination of our algorithm. The p...
Laura Kovács
109
Voted
CORR
2006
Springer
91views Education» more  CORR 2006»
15 years 13 days ago
Quasi-friendly sup-interpretations
In a previous paper [16], the sup-interpretation method was proposed as a new tool to control memory resources of first order functional programs with pattern matching by static an...
Jean-Yves Marion, Romain Péchoux
98
Voted
RTA
2010
Springer
14 years 10 months ago
Polynomial Interpretations over the Reals do not Subsume Polynomial Interpretations over the Integers
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and...
Friedrich Neurauter, Aart Middeldorp
124
Voted
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