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» Arithmetic as a Theory Modulo
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BSL
2006
73views more  BSL 2006»
13 years 8 months ago
Nonstandard arithmetic and reverse mathematics
We show that each of the five basic theories of second order arithmetic that play a central role in reverse mathematics has a natural counterpart in the language of nonstandard ari...
H. Jerome Keisler
CSL
2009
Springer
14 years 3 months ago
Model Checking FO(R) over One-Counter Processes and beyond
Abstract. One-counter processes are pushdown processes over a singleton stack alphabet (plus a stack-bottom symbol). We study the problems of model checking asynchronous products o...
Anthony Widjaja To
SAT
2010
Springer
174views Hardware» more  SAT 2010»
13 years 7 months ago
A System for Solving Constraint Satisfaction Problems with SMT
Abstract. SAT Modulo Theories (SMT) consists of deciding the satisfiability of a formula with respect to a decidable background theory, such as linear integer arithmetic, bit-vect...
Miquel Bofill, Josep Suy, Mateu Villaret
ASAP
2004
IEEE
160views Hardware» more  ASAP 2004»
14 years 15 days ago
Architectural Support for Arithmetic in Optimal Extension Fields
Public-key cryptosystems generally involve computation-intensive arithmetic operations, making them impractical for software implementation on constrained devices such as smart ca...
Johann Großschädl, Sandeep S. Kumar, Ch...
FMCAD
2008
Springer
13 years 10 months ago
A Write-Based Solver for SAT Modulo the Theory of Arrays
The extensional theory of arrays is one of the most important ones for applications of SAT Modulo Theories (SMT) to hardware and software verification. Here we present a new T-solv...
Miquel Bofill, Robert Nieuwenhuis, Albert Oliveras...