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STOC
2012
ACM
242views Algorithms» more  STOC 2012»
11 years 10 months ago
Separating multilinear branching programs and formulas
This work deals with the power of linear algebra in the context of multilinear computation. By linear algebra we mean algebraic branching programs (ABPs) which are known to be com...
Zeev Dvir, Guillaume Malod, Sylvain Perifel, Amir ...
ICLP
2005
Springer
14 years 1 months ago
Abduction of Linear Arithmetic Constraints
Abduction is usually carried out on partially-defined predicates. In this paper we investigate abduction applied to fully-defined predicates, specifically linear arithmetic cons...
Michael J. Maher
SAS
2004
Springer
140views Formal Methods» more  SAS 2004»
14 years 1 months ago
Path-Sensitive Analysis for Linear Arithmetic and Uninterpreted Functions
We describe data structures and algorithms for performing a path-sensitive program analysis to discover equivalences of expressions involving linear arithmetic or uninterpreted fun...
Sumit Gulwani, George C. Necula
MKM
2007
Springer
14 years 1 months ago
Automatic Synthesis of Decision Procedures: A Case Study of Ground and Linear Arithmetic
We address the problem of automatic synthesis of decision procedures. Our synthesis mechanism consists of several stages and submechanisms and is well-suited to the proof-planning ...
Predrag Janicic, Alan Bundy
ENTCS
2006
125views more  ENTCS 2006»
13 years 7 months ago
An Even Closer Integration of Linear Arithmetic into Inductive Theorem Proving
To broaden the scope of decision procedures for linear arithmetic, they have to be integrated into theorem provers. Successful approaches e.g. in NQTHM or ACL2 suggest a close int...
Tobias Schmidt-Samoa