By S. Mauw, G. J. Veltink
Sleek machine networks now circle the area, however the transmission of data between them is dependent upon the numerous varied protocols that outline the habit of the sender and receiver. it truly is transparent accordingly, that the actual description of those protocols is critical if harmonious verbal exchange is to be maintained. during this booklet the authors use the formal specification language PSF to supply an unambiguous description of numerous communique protocols of various degrees of complexity, starting from the alternating bit protocol to the token ring protocol. newbies, in addition to pros within the box of conversation protocols, will reap the benefits of either the tools of specification defined, and the protocols mentioned during this ebook.
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Extra info for Algebraic Specification of Communication Protocols
Because of the fact that constants cannot be overloaded The PSF Standard Library 35 and that the identifier names 0 and 1 are used in the library to represent the digits, we have to introduce a different name for the bits. sorts BIT functions bitO : bitl : invert : BIT unary : BIT eq : BIT # BIT -> BIT -> BIT > BIT > NATURAL > BOOLEAN Initial Algebra: bito, b i t i . 4 QUEUES Queues are a well-known data structure. They are used to store data in a certain order. The standard library defines functions to put an item into a queue, to retrieve the front element from the queue, to delete the front element from the queue and to determine the number of items in a queue.
Process expressions can be manipulated at a syntactical level and proven to be equal to other process expressions. The proof assistant uses a set of axioms that define the permitted transformations. Trying to prove facts about process expressions by using only the axioms provided can be a tiresome job. As a typical example: we found in one of our first experiments with the initial implementation of the proof assistant, that a simple proof, which takes seven steps when done with pencil and paper, takes more than sixty steps when applying only one axiom at a time.
The renamings first specify the name of the object in the module of origin, and then the name in the current module. If an object is not renamed in the renaming list, it keeps its old name. Although renaming is optional, in the example we have to rename the atomic actions coming from the imported modules, because otherwise we would run into a name clash, as was explained above. All objects that are imported into a module, are implicitly imported into its export section. This means for example, that any module that imports module System will automatically be able to use the action sender-input from module Sender.