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» The Algebra of Equality Proofs
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TCS
2008
13 years 8 months ago
Turing machines and bimachines
We associate the iterated block product of a bimachine with a deterministic Turing machine. This allows us to introduce new algebraic notions to study the behavior of the Turing m...
John Rhodes, Pedro V. Silva
JSC
2010
96views more  JSC 2010»
13 years 6 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
IANDC
2010
132views more  IANDC 2010»
13 years 5 months ago
The expressive power of the shuffle product
There is an increasing interest in the shuffle product on formal languages, mainly because it is a standard tool for modeling process algebras. It still remains a mysterious opera...
Jean Berstel, Luc Boasson, Olivier Carton, Jean-Er...
JCT
2011
93views more  JCT 2011»
12 years 11 months ago
A graph-theoretic approach to quasigroup cycle numbers
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
Brent Kerby, Jonathan D. H. Smith
BIRTHDAY
1997
Springer
14 years 6 days 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