Skew confluence was introduced as a characterization of nonconfluent term rewriting systems that had unique infinite normal forms or Böhm like trees. This notion however is not expressive enough to deal with all possible sources of non-confluence in the context of infinite terms or terms extended with letrec. We present a new notion called ωskew confluence which constitutes a sufficient and nec...

We present a Theory of Objects based on the original functional ςcalculus by Abadi and Cardelli [1] but with an additional parameter to methods. We prove confluence of the operational semantics following the outline of Nipkow’s proof of confluence for the λ-calculus reusing his general Commutation.thy [4] a generic diamond lemma reduction. We furthermore formalize a simple type system for our ς...

This study is considered the first in this sector of Tigris River after 2003, to evaluate effect Tharthar Canal on composition and diversity zooplankton River. Six sampling sites were selected; two canal four along River, one before confluence as a control site others downstream confluence. One hundred thirty-four taxa recorded study, 129 ,76 well 96 shared between river canal. The high value d...

The notion of confluence is studied on the context of bigraphs. Confluence will be important in modelling real-world systems, both natural (as in biology) and artificial (as in pervasive computing). The paper uses bigraphs in which names have multiple locality; this enables a formulation of the lambda calculus with explicit substitutions. The paper reports work in progress, seeking conditions o...

Nominal rewriting has been introduced as an extension of first-order term rewriting by a binding mechanism based on the nominal approach. In this paper, we extend Huet’s parallel closure theorem and its generalisation on confluence of left-linear term rewriting systems to the case of nominal rewriting. The proof of the theorem follows a previous inductive confluence proof for orthogonal uniform...

A value-passing, asynchronous process calculus and its associated theory of confluence are considered as a basis for establishing the correctness of distributed algorithms. In particular, we present an asynchronous version of value-passing CCS and we develop its theory of confluence. We show techniques for demonstrating confluence of complex processes in a compositional manner and we study prop...