Sentence examples for calculus rules from inspiring English sources

Here on the transparencies, we see a bunch of calculus rules from such a book.

However, the equality type calculus rules of the coderivatives of a solution mapping S (3) are not mentioned.

The existence and uniqueness questions for connectives turn out in the case of sequent calculus rules to be intimately connected with the structural rules (Id) and (Cut).

It is easy to see that the natural deduction rules for the various connectives given in Section 2 as well as the sequent calculus rules all uniquely characterize the connectives they govern.

While these constructions, and the associated graph reductions bear striking similarity with lambda calculus with explicit substitutions, as first remarked by Di Cosmo & Kesner (1997), they are too similar to the corresponding sequent calculus rules: the parallelization effect so elegant for MLL does not properly carry on here, and the graph reduction rules involve boxes and are not local.

The Mset-Mset (or Mset-Fmla0) sequent calculus rules for ¬, which can be taken to be those given in Section 2 with the set-variables taken as multiset-variables (suitably restricted for Mset-Fmla0), uniquely characterize ¬, but have no direct application in Mset-Fmla or any other framework with a fixed multiset cardinality on the right (or the left, for that matter).

PROFESSOR: Well, yesterday we learned a bit about symbolic manipulation, and we wrote a rather stylized program to implement a pile of calculus rule from the calculus book.

In this section, we provide conditions ensuring the equality type calculus rule of the coderivatives of a solution mapping S (3), which is an improvement of [10], Theorem 3.2.

In Section 3, the main results are established, i.e., the equality type calculus rule of the coderivatives of a solution mapping S (3) is established and then used to derive the optimality condition of bilevel programming (1).

We give a refinement calculus with rules that tell the designer how to come from the abstract specification to the implementation such that the system under development only becomes more concrete but not more abstract; under-specification is eliminated by adding more information.

For that von Kutschera gives a sequent calculus with rules for the introduction of n-ary propositional connectives in the succedent and antecedent, yielding a sequent system for generalized propositional connectives.