Page 1

Displaying 1 – 5 of 5

Showing per page

Restricted nondeterministic read-once branching programs and an exponential lower bound for integer multiplication

Beate Bollig (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Branching programs are a well established computation model for Boolean functions, especially read-once branching programs have been studied intensively. In this paper the expressive power of nondeterministic read-once branching programs, more precisely the class of functions representable in polynomial size, is investigated. For that reason two restricted models of nondeterministic read-once branching programs are defined and a lower bound method is presented. Furthermore, the first exponential...

Restricted Nondeterministic Read-Once Branching Programs and an Exponential Lower Bound for Integer Multiplication

Beate Bollig (2010)

RAIRO - Theoretical Informatics and Applications

Branching programs are a well established computation model for Boolean functions, especially read-once branching programs have been studied intensively. In this paper the expressive power of nondeterministic read-once branching programs, more precisely the class of functions representable in polynomial size, is investigated. For that reason two restricted models of nondeterministic read-once branching programs are defined and a lower bound method is presented. Furthermore, the first exponential...

Rewriting on cyclic structures: Equivalence between the operational and the categorical description

Andrea Corradini, Fabio Gadducci (2010)

RAIRO - Theoretical Informatics and Applications

We present a categorical formulation of the rewriting of possibly cyclic term graphs, based on a variation of algebraic 2-theories. We show that this presentation is equivalent to the well-accepted operational definition proposed by Barendregt et al. – but for the case of circular redexes , for which we propose (and justify formally) a different treatment. The categorical framework allows us to model in a concise way also automatic garbage collection and rules for sharing/unsharing and...

Currently displaying 1 – 5 of 5

Page 1