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ACMSE
2006
ACM
15 years 3 months ago
Inductive bases and their application to searches for minimal unary NFAs
Classic results in the theory of regular languages show that the problem of converting an NFA (nondeterministic finite automaton) into a minimal equivalent NFA is NP-hard, even f...
Geoffrey Smith
FCT
2001
Springer
15 years 2 months ago
Divisibility Monoids: Presentation, Word Problem, and Rational Languages
Abstract. We present three results on divisibility monoids. These divisibility monoids were introduced in [11] as an algebraic generalization of Mazurkiewicz trace monoids. (1) We ...
Dietrich Kuske
BIRTHDAY
1997
Springer
15 years 1 months ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler
CORR
2010
Springer
115views Education» more  CORR 2010»
14 years 9 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
CSL
2005
Springer
15 years 3 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Michael Soltys