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Event-Based Proof of the Mutual Exclusion Property of Peterson’s Algorithm

Ievgen IvanovMykola NikitchenkoUri Abraham — 2015

Formalized Mathematics

Proving properties of distributed algorithms is still a highly challenging problem and various approaches that have been proposed to tackle it [1] can be roughly divided into state-based and event-based proofs. Informally speaking, state-based approaches define the behavior of a distributed algorithm as a set of sequences of memory states during its executions, while event-based approaches treat the behaviors by means of events which are produced by the executions of an algorithm. Of course, combined...

Simple-Named Complex-Valued Nominative Data – Definition and Basic Operations

Ievgen IvanovMykola NikitchenkoAndrii KryvolapArtur Korniłowicz — 2017

Formalized Mathematics

In this paper we give a formal definition of the notion of nominative data with simple names and complex values [15, 16, 19] and formal definitions of the basic operations on such data, including naming, denaming and overlapping, following the work [19]. The notion of nominative data plays an important role in the composition-nominative approach to program formalization [15, 16] which is a development of composition programming [18]. Both approaches are compared in [14]. The composition-nominative...

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