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» On Proofs in System P
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TSE
2010
110views more  TSE 2010»
15 years 4 months ago
Proofs from Tests
We present an algorithm Dash to check if a program P satisfies a safety property ϕ. The unique feature of the algorithm is that it uses only test generation operations, and nes ...
Nels E. Beckman, Aditya V. Nori, Sriram K. Rajaman...
CORR
2011
Springer
153views Education» more  CORR 2011»
15 years 1 months ago
Proof-Theoretic Soundness and Completeness
We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a...
Robert Rothenberg
WINE
2005
Springer
182views Economy» more  WINE 2005»
15 years 12 months ago
Inapproximability Results for Combinatorial Auctions with Submodular Utility Functions
We consider the following allocation problem arising in the setting of combinatorial auctions: a set of goods is to be allocated to a set of players so as to maximize the sum of t...
Subhash Khot, Richard J. Lipton, Evangelos Markaki...
CC
2008
Springer
15 years 6 months ago
The Strength of Multilinear Proofs
We introduce an algebraic proof system that manipulates multilinear arithmetic formulas. We show that this proof system is fairly strong, even when restricted to multilinear arith...
Ran Raz, Iddo Tzameret
PLDI
2009
ACM
16 years 7 months ago
An integrated proof language for imperative programs
We present an integrated proof language for guiding the actions of multiple reasoning systems as they work together to prove complex correctness properties of imperative programs....
Karen Zee, Viktor Kuncak, Martin C. Rinard