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» Bounded Arithmetic and Descriptive Complexity
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LATA
2009
Springer
14 years 2 months ago
Nondeterministic Instance Complexity and Proof Systems with Advice
Abstract. Motivated by strong Karp-Lipton collapse results in bounded arithmetic, Cook and Kraj´ıˇcek [7] have recently introduced the notion of propositional proof systems with...
Olaf Beyersdorff, Johannes Köbler, Sebastian ...
JC
2008
77views more  JC 2008»
13 years 7 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
FSTTCS
2009
Springer
14 years 1 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
IJCAI
2007
13 years 8 months ago
A Faithful Integration of Description Logics with Logic Programming
Integrating description logics (DL) and logic programming (LP) would produce a very powerful and useful formalism. However, DLs and LP are based on quite different principles, so ...
Boris Motik, Riccardo Rosati
PDPTA
2003
13 years 8 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...