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LOGCOM
2010
104views more  LOGCOM 2010»
13 years 8 months ago
Herbrand's Theorem, Skolemization and Proof Systems for First-Order Lukasiewicz Logic
Abstract. An approximate Herbrand theorem is established for firstorder infinite-valued Lukasiewicz Logic and used to obtain a proof-theoretic proof of Skolemization. These resul...
Matthias Baaz, George Metcalfe
SIAMCOMP
1998
125views more  SIAMCOMP 1998»
13 years 10 months ago
Free Bits, PCPs, and Nonapproximability-Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs (PCPs) and the approximability of NP-optimization problems. The emphasis is on p...
Mihir Bellare, Oded Goldreich, Madhu Sudan
JSYML
2010
107views more  JSYML 2010»
13 years 8 months ago
A proof of completeness for continuous first-order logic
Continuous first-order logic has found interest among model theorists who wish to extend the classical analysis of “algebraic” structures (such as fields, group, and graphs) ...
Arthur Paul Pedersen, Itay Ben-Yaacov
PLDI
2012
ACM
12 years 24 days ago
Proving acceptability properties of relaxed nondeterministic approximate programs
Approximate program transformations such as skipping tasks [29, 30], loop perforation [21, 22, 35], reduction sampling [38], multiple selectable implementations [3, 4, 16, 38], dy...
Michael Carbin, Deokhwan Kim, Sasa Misailovic, Mar...
SIAMCO
2000
117views more  SIAMCO 2000»
13 years 10 months ago
The O.D.E. Method for Convergence of Stochastic Approximation and Reinforcement Learning
It is shown here that stability of the stochastic approximation algorithm is implied by the asymptotic stability of the origin for an associated ODE. This in turn implies convergen...
Vivek S. Borkar, Sean P. Meyn