Sentence examples for a calculus with from inspiring English sources

Hence, the question whether a concatenation of signs is a proposition of a given mathematical calculus (i.e., a calculus with an extra-mathematical application) is still an internal, syntactical question, which we can answer with knowledge of the proofs and decision procedures of the calculus.

For instance, how could one combine a logic L1, defined by a sequent calculus, with a logic L2, represented by a (Hilbert-style) axiomatic system?

Returning to the first example (combining a sequent calculus with an axiomatic system), a better solution was proposed in Cruz-Filipe et al.

Building on previous work in resource semantics, process calculus, and modal logic, we describe a process calculus with an explicit representation of resources in which processes and resources co-evolve.

In the last decades, continuous fractional calculus, i.e., a calculus dealing with integrals and derivatives of noninteger orders, evolved in a respected mathematical discipline with a number of physical and technical applications (for more information we refer to monographs, e.g., [1, 2]).

As the in situ period proceeded, calculus deposits (resembling the morphology of Schroeder's type A calculus deposits ) with increased height, macroscopic in some cases, were seen on demineralized areas.

The archbishop went through a similar calculus with the Rev. Gregory Ingels, a canon lawyer who had become a national expert on clergy sexual abuse.

Such a system is known as a lower-predicate-calculus-with-identity; it may of course be further augmented in the other ways referred to above in "Extensions of LPC," in which case any term may be an argument of =.

We use a tensor calculus with the dot operator ⋅ and the tensor product ⊗.

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.

The logic is designed around a process calculus with actions for possible protocol steps including generating new random numbers, sending and receiving messages, and performing decryption and digital signature verification actions.