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» Algorithms for Ordinal Arithmetic
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COMPGEOM
2001
ACM
15 years 3 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
TACAS
2000
Springer
151views Algorithms» more  TACAS 2000»
15 years 3 months ago
Salsa: Combining Constraint Solvers with BDDs for Automatic Invariant Checking
Salsa is an invariant checker for speci cations in SAL the SCR Abstract Language. To establish a formula as an invariant without any user guidance Salsa carries out an induction pr...
Ramesh Bharadwaj, Steve Sims
CSCLP
2008
Springer
15 years 1 months ago
Challenges in Constraint-Based Analysis of Hybrid Systems
In the analysis of hybrid discrete-continuous systems, rich arithmetic constraint formulae with complex Boolean structure arise naturally. The iSAT algorithm, a solver for such for...
Andreas Eggers, Natalia Kalinnik, Stefan Kupfersch...
DAGSTUHL
2003
15 years 1 months ago
Reliable Distance and Intersection Computation Using Finite Precision Geometry
In this paper we discuss reliable methods in the field of finite precision geometry. We begin with a brief survey of geometric computing and approaches generally used in dealing ...
Katja Bühler, Eva Dyllong, Wolfram Luther
TPCD
1994
157views Hardware» more  TPCD 1994»
15 years 1 months ago
Non-Restoring Integer Square Root: A Case Study in Design by Principled Optimization
Theorem proving techniques are particularly well suited for reasoning about arithmetic above the bit level and for relating di erent f abstraction. In this paper we show how a non-...
John W. O'Leary, Miriam Leeser, Jason Hickey, Mark...