Title
A note on the size of Craig Interpolants
Abstract
Mundici considered the question of whether the interpolant of two propositional formulas of the form F → G can always have a short circuit description, and showed that if this is the case then every problem in NP ∩ co-NP would have polynomial size circuits. In this note we observe further consequences of the interpolant having short circuit descriptions, namely that UP ⊆ P/poly, and that every single valued NP function has a total extension in FP/poly. We also relate this question with other Complexity Theory assumptions.
Year
Venue
Field
2006
Circuits, Logic, and Games
Discrete mathematics,Algebra,Polynomial,Of the form,Interpolation,Electronic circuit,Mathematics
DocType
Citations 
PageRank 
Conference
2
0.36
References 
Authors
16
2
Name
Order
Citations
PageRank
Uwe Schöning1998105.69
Jacobo Torán256449.26