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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...
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...
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...
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