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JAR
2006
236views more  JAR 2006»
13 years 5 months ago
Deciding Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 5 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
POPL
2011
ACM
12 years 8 months ago
Decidable logics combining heap structures and data
We define a new logic, STRAND, that allows reasoning with heapmanipulating programs using deductive verification and SMT solvers. STRAND logic (“STRucture ANd Data” logic) f...
P. Madhusudan, Gennaro Parlato, Xiaokang Qiu
ATVA
2010
Springer
128views Hardware» more  ATVA 2010»
13 years 6 months ago
What's Decidable about Sequences?
Abstract. We present a first-order theory of (finite) sequences with integer elements, Presburger arithmetic, and regularity constraints, which can model significant properties of ...
Carlo A. Furia
EDBT
2008
ACM
137views Database» more  EDBT 2008»
14 years 5 months ago
Data exchange in the presence of arithmetic comparisons
Data exchange is the problem of transforming data structured under a schema (called source) into data structured under a different schema (called target). The emphasis of data exc...
Foto N. Afrati, Chen Li, Vassia Pavlaki