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TPCD
1994
157views Hardware» more  TPCD 1994»
13 years 8 months ago
Non-Restoring Integer Square Root: A Case Study in Design by Principled Optimization
Theorem proving techniques are particularly well suited for reasoning about arithmetic above the bit level and for relating di erent f abstraction. In this paper we show how a non-...
John W. O'Leary, Miriam Leeser, Jason Hickey, Mark...
CADE
2007
Springer
14 years 7 months ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...
Viktor Kuncak, Martin C. Rinard
ICFP
2010
ACM
13 years 8 months ago
A fresh look at programming with names and binders
A wide range of computer programs, including compilers and theorem provers, manipulate data structures that involve names and binding. However, the design of programming idioms wh...
Nicolas Pouillard, François Pottier
ICFP
2009
ACM
14 years 8 months ago
Biorthogonality, step-indexing and compiler correctness
We define logical relations between the denotational semantics of a simply typed functional language with recursion and the operational behaviour of low-level programs in a varian...
Nick Benton, Chung-Kil Hur
PEPM
2010
ACM
13 years 9 months ago
A3PAT, an approach for certified automated termination proofs
Software engineering, automated reasoning, rule-based programming or specifications often use rewriting systems for which termination, among other properties, may have to be ensur...
Evelyne Contejean, Andrey Paskevich, Xavier Urbain...