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» On Algebras with Iteration
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LPAR
2010
Springer
13 years 3 months ago
ABC: Algebraic Bound Computation for Loops
Abstract. We present ABC, a software tool for automatically computing symbolic upper bounds on the number of iterations of nested program loops. The system combines static analysis...
Régis Blanc, Thomas A. Henzinger, Thibaud H...
CORR
2006
Springer
121views Education» more  CORR 2006»
13 years 5 months ago
Elgot Algebras
Denotational semantics can be based on algebras with additional structure (order, metric, etc.) which makes it possible to interpret recursive specifications. It was the idea of El...
Jirí Adámek, Stefan Milius, Jiri Vel...
CADE
2007
Springer
14 years 6 months ago
Combining Deduction and Algebraic Constraints for Hybrid System Analysis
We show how theorem proving and methods for handling real algebraic constraints can be combined for hybrid system verification. In particular, we highlight the interaction of deduc...
André Platzer
MOC
1998
115views more  MOC 1998»
13 years 5 months ago
Analysis and modificaton of Newton's method for algebraic Riccati equations
When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
Chun-Hua Guo, Peter Lancaster
NA
2010
235views more  NA 2010»
13 years 16 days ago
On new iterative method for solving systems of nonlinear equations
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Fadi Awawdeh