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CORR
2008
Springer
130views Education» more  CORR 2008»
14 years 9 months ago
Convex Hull of Arithmetic Automata
Abstract. Arithmetic automata recognize infinite words of digits denoting decompositions of real and integer vectors. These automata are known expressive and efficient enough to re...
Jérôme Leroux
85
Voted
CSL
2007
Springer
15 years 3 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
87
Voted
VMCAI
2007
Springer
15 years 3 months ago
Invariant Synthesis for Combined Theories
We present a constraint-based algorithm for the synthesis of invariants expressed in the combined theory of linear arithmetic and uninterpreted function symbols. Given a set of pro...
Dirk Beyer, Thomas A. Henzinger, Rupak Majumdar, A...
CSL
2007
Springer
15 years 3 months ago
Integrating Linear Arithmetic into Superposition Calculus
Abstract. We present a method of integrating linear rational arithmetic into superposition calculus for first-order logic. One of our main results is completeness of the resulting...
Konstantin Korovin, Andrei Voronkov
AAIM
2007
Springer
94views Algorithms» more  AAIM 2007»
15 years 3 months ago
An Ingenious, Piecewise Linear Interpolation Algorithm for Pricing Arithmetic Average Options
Abstract. Pricing arithmetic average options continues to intrigue researchers in the field of financial engineering. Since there is no analytical solution for this problem until...
Tian-Shyr Dai, Jr-Yan Wang, Hui-Shan Wei