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» Logic of Proofs for Bounded Arithmetic
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MKM
2009
Springer
15 years 6 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...
TCS
2011
14 years 6 months ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
CORR
2008
Springer
148views Education» more  CORR 2008»
14 years 11 months ago
The craft of model making: PSPACE bounds for non-iterative modal logics
The methods used to establish PSPACE-bounds for modal logics can roughly be grouped into two classes: syntax driven methods establish that exhaustive proof search can be performed...
Lutz Schröder, Dirk Pattinson
LPAR
2012
Springer
13 years 7 months ago
The TPTP Typed First-Order Form with Arithmetic
Abstract. The TPTP World is a well established infrastructure supporting research, development, and deployment of Automated Theorem Proving systems. Recently, the TPTP World has be...
Geoff Sutcliffe, Stephan Schulz, Koen Claessen, Pe...
FDTC
2006
Springer
102views Cryptology» more  FDTC 2006»
15 years 3 months ago
Non-linear Residue Codes for Robust Public-Key Arithmetic
We present a scheme for robust multi-precision arithmetic over the positive integers, protected by a novel family of non-linear arithmetic residue codes. These codes have a very hi...
Gunnar Gaubatz, Berk Sunar, Mark G. Karpovsky