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» Logic of Proofs for Bounded Arithmetic
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TPHOL
2007
IEEE
15 years 6 months ago
Proof Pearl: The Power of Higher-Order Encodings in the Logical Framework LF
Abstract. In this proof pearl, we demonstrate the power of higherorder encodings in the logical framework Twelf[PS99] by investigating proofs about an algorithmic specification of...
Brigitte Pientka
TABLEAUX
2009
Springer
15 years 6 months ago
A Schemata Calculus for Propositional Logic
We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
TC
2011
14 years 6 months ago
Exact and Approximated Error of the FMA
Abstract—The fused multiply accumulate-add (FMA) instruction, specified by the IEEE 754-2008 Standard for Floating-Point Arithmetic, eases some calculations, and is already avai...
Sylvie Boldo, Jean-Michel Muller
CADE
1990
Springer
15 years 3 months ago
A Theorem Prover for a Computational Logic
We briefly review a mechanical theorem-prover for a logic of recursive functions over finitely generated objects including the integers, ordered pairs, and symbols. The prover, kn...
Robert S. Boyer, J. Strother Moore
CAV
2008
Springer
158views Hardware» more  CAV 2008»
15 years 1 months ago
Linear Arithmetic with Stars
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Ruzica Piskac, Viktor Kuncak