Approximate quantified constraint solving (AQCS). AQCS is a program for solving quantified constraints approximately. A quantified constraint is a formula of first-order predicate logic containing the following symbols: Variables ranging over the reals, floating point interval constants, the function symbols + and ., the predicate symbols <= , =, <, >= and >, and the quantifiers exist and forall . The output for a given quantified constraint is a set of boxes on which the constraint is guaranteed to be true and a set of boxes on which the constraint is guaranteed to be false. For constraints with less than three free variables graphical output is also available.
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References in zbMATH (referenced in 12 articles )
Showing results 1 to 12 of 12.
- Ishii, Daisuke; Goldsztejn, Alexandre; Jermann, Christophe: Interval-based projection method for under-constrained numerical systems (2012)
- Jaulin, Luc: Combining interval analysis with flatness theory for state estimation of sailboat robots (2012)
- Goldsztejn, Alexandre; Michel, Claude; Rueher, Michel: Efficient handling of universally quantified inequalities (2009)
- Kanno, Masaaki; Anai, Hirokazu: Computer algebra for guaranteed accuracy. How does it help? (2009)
- Hyodo, Noriko; Hong, Myunghoon; Yanami, Hitoshi; Hara, Shinji; Anai, Hirokazu: Solving and visualizing nonlinear parametric constraints in control based on quantifier elimination (2007)
- Liska, Richard; Váchal, Pavel: Quantifier elimination supported proofs in the numerical treatment of fluid flows (2007)
- Ratschan, Stefan: Convergent approximate solving of first-order constraints by approximate quantifiers. (2004)
- Ratschan, Stefan: Approximate quantified constraint solving by cylindrical box decomposition (2002)
- Ratschan, Stefan: Quantified constraints under perturbation (2002)
- Shary, Sergey P.: A new technique in systems analysis under interval uncertainty and ambiguity (2002)
- Ratschan, Stefan: Convergent approximate solving of first-order constraints by approximate quantifiers (2001)
- Ratschan, Stefan: Uncertainty propagation in heterogeneous algebras for approximate quantified constraint solving (2000)