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» Real Number Calculations and Theorem Proving
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CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 5 months ago
On the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases
This article studies the expressive power of finite automata recognizing sets of real numbers encoded in positional notation. We consider Muller automata as well as the restricted ...
Bernard Boigelot, Julien Brusten, Véronique...
CPC
2010
117views more  CPC 2010»
13 years 2 months ago
On the Number of Perfect Matchings in Random Lifts
Let G be a fixed connected multigraph with no loops. A random n-lift of G is obtained by replacing each vertex of G by a set of n vertices (where these sets are pairwise disjoint)...
Catherine S. Greenhill, Svante Janson, Andrzej Ruc...
CORR
2006
Springer
89views Education» more  CORR 2006»
13 years 5 months ago
Finite-State Dimension and Real Arithmetic
We use entropy rates and Schur concavity to prove that, for every integer k 2, every nonzero rational number q, and every real number , the base-k expansions of , q + , and q all...
David Doty, Jack H. Lutz, Satyadev Nandakumar
TYPES
2000
Springer
13 years 9 months ago
Constructive Reals in Coq: Axioms and Categoricity
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Herman Geuvers, Milad Niqui
EJC
2000
13 years 5 months ago
Further Investigations Involving Rook Polynomials With Only Real Zeros
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by ...
James Haglund