Abstract
In this paper, the design of the TermWare-3 rewriting system which is built on the ground of reflective calculus of context term is considered. In the calculus of the context term, term structure contains not only tree, but a reference to an internal context and matching constrains (external context). This allows to embed operation of name resolving into the mathematical semantics of the term rewriting. The elements of algebra are multiterms, which complement context terms by constructions of arrows, universal matching pattern and consistent set. This allows to emulate substitutions of typed variables in the terms of multiterm algebra. Also, the method of effective rule dispatch is described. Example of usage term rewriting system for checking of smart-contract properties, with automatic transformation of expression between representation in terms of Scala algebraic types and TermWare-3 context terms is shown. Problems in programming 2019; 1: 48-58
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