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» The Complexity of the Annihilating Polynomial
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CORR
2007
Springer
82views Education» more  CORR 2007»
14 years 10 months ago
Programs as polygraphs: computability and complexity
Abstract – This study presents Albert Burroni’s polygraphs as an algebraic and graphical description of first-order functional programs, where functions can have many outputs....
Guillaume Bonfante, Yves Guiraud
DLT
2009
14 years 7 months ago
On the Complexity of Hmelevskii's Theorem and Satisfiability of Three Unknown Equations
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Aleksi Saarela
SAS
2005
Springer
132views Formal Methods» more  SAS 2005»
15 years 3 months ago
Generation of Basic Semi-algebraic Invariants Using Convex Polyhedra
A technique for generating invariant polynomial inequalities of bounded degree is presented using the abstract interpretation framework. It is based on overapproximating basic semi...
Roberto Bagnara, Enric Rodríguez-Carbonell,...
INDOCRYPT
2003
Springer
15 years 3 months ago
On the Construction of Prime Order Elliptic Curves
We consider a variant of the Complex Multiplication (CM) method for constructing elliptic curves (ECs) of prime order with additional security properties. Our variant uses Weber po...
Elisavet Konstantinou, Yannis C. Stamatiou, Christ...
RTA
2009
Springer
15 years 4 months ago
Dependency Pairs and Polynomial Path Orders
Abstract. We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify the polynomial runtime comple...
Martin Avanzini, Georg Moser