We assume a collection of

program variables [f.sub.a] in [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] to denote the fixed points of the recursive definitions of the overloaded functions a.

An ML type environment, TE, is a finite map from

program variables to ML type schemes.

The number of shape-nodes associated with a single control-flow-graph vertex can grow to be very large - in the worst case, doubly exponential in the number of

program variables (i.e., [2.sup.2[absolute value of PVar]]).

Since both the

program variable [D.sub.it] and its interaction [D.sub.it][R.sub.it] may be statistically endogenous, we again employ instrumental variables regressions.

They produced Durbin-Watson statistics of 0.3331 and 0.4952, respectively, which permits weak (10% level of significance) rejection of the null hypothesis of no cointegration between the black-white unemployment rate gap and black prime-time television

program variables and a strong rejection (5% level of significance) of the null hypothesis of no cointegration relationship between the black unemployment rate and black prime-time television

program variables.

(We define the set of state formulas SF below.) The set of states S is obtained by taking the Cartesian product of domains of all

program variables, i.e., given a program with n variables V = {[v.sub.1], [v.sub.2], ..., [V.sub.n]}, each state s [element of] S corresponds to a valuation of all the variables of the program

Versions are traditionally denoted by applying subscripts to the name of the original

program variable, so SSA versions of variable v will be denoted [v.sub.1], [v.sub.2], and so forth.

Such benefits of analysis are evaluated not only in terms of accuracy, i.e., the ability to determine the actual dependencies among the

program variables, but also of effectiveness, measured in terms of code reduction and also in terms of the ultimate performance of the parallelized programs, i.e., the actual speedup obtainable with respect to the sequential version.

We introduce a second

program variable p and propose the invariant I: p [is less than or equal to] q [and] [unkeyable] (i,j: i < p [and] j < q [and] i [is not equal to] j: a[i].Key [is not equal to] a[j].Key) [and] [unkeyable](j: q [is less than or equal to] j: [unkeyable](i: i < p: a[i].Key = a[j].

To identify the role of various determinants of infant mortality, various socioeconomic, demographic, and

program variables were chosen.

Relationship of teacher and

program variables to beginning agriculture teachers' sense of efficacy.

USDA is closely monitoring sugar production, stocks, consumption, imports, and all sugar market and

program variables on an ongoing basis.