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» Third-Order Computation and Bounded Arithmetic
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LOGCOM
2007
92views more  LOGCOM 2007»
15 years 9 days ago
Third-Order Computation and Bounded Arithmetic
Abstract. We describe a natural generalization of ordinary computation to a third-order setting and give a function calculus with nice properties and recursion-theoretic characteri...
Alan Skelley
CSL
2004
Springer
15 years 5 months ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley
120
Voted
DAC
2005
ACM
15 years 2 months ago
Normalization at the arithmetic bit level
We propose a normalization technique for verifying arithmetic circuits in a bounded model checking environment. Our technique operates on the arithmetic bit level (ABL) descriptio...
Markus Wedler, Dominik Stoffel, Wolfgang Kunz
UMC
2000
15 years 4 months ago
Upper and Lower Bounds on Continuous-Time Computation
Abstract. We consider various extensions and modifications of Shannon's General Purpose Analog Computer, which is a model of computation by differential equations in continuou...
Manuel Lameiras Campagnolo, Cristopher Moore
85
Voted
TCS
1998
15 years 2 days ago
Non-Commutative Arithmetic Circuits: Depth Reduction and Size Lower Bounds
Eric Allender, Jia Jiao, Meena Mahajan, V. Vinay