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Reuse of these modules in future models would be very simple, because the stochastic pi-calculus implementation of our model allows for the code to be partitioned easily and integrated with other models implemented in the same language.
The main notions of fractional calculus and implementations are given in [8, 9].
It is important to appreciate the difference between a logical calculus and its corresponding implementation in a reasoning program.
It does not require the use of differential calculus, thus facilitating computational implementation.
Termination and confluence are verified for the λσβ0-calculus similarly to that for the λσ-calculus, and an efficient implementation is given in terms of first-order renaming substitutions.
Students in the research group took Calculus-I before the implementation and this study were conducted under Calculus-II course.
The implementation of a calculus invariably involves making some modifications to the calculus and this results, strictly speaking, in a new calculus.
The standard definitions of fractional-order calculus do not allow direct implementation of the fractional operators in time-domain simulations.
Our language and its type system are compatible with the JoCaml implementation of the join calculus.
Formal specifications and proofs are carried out in the Calculus of Inductive Constructions and its implementation: the Coq system.
The successful implementation of a deduction calculus in an automated reasoning program requires the integration of search strategies that reduce the search space by pruning unnecessary deduction paths.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com