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Extended Process Algebra for Cost Analysis
Extended Process Algebra for Cost Analysis
ISSN : 1839-7662Journal from gdlhub / 2017-08-14 11:52:34
Oleh : Hiroki Kiyoto and Shin-ya Nishizaki, International Journal of Computer Science & Information Technology
Dibuat : 2012-07-03, dengan 1 file
Keyword : Process algebra, the algebra of communicating systems, ACP, cost analysis, concurrent systems.
Subjek : Extended Process Algebra for Cost Analysis
Url : http://airccse.org/journal/ijfcst/papers/2212ijfcst01.pdf
Sumber pengambilan dokumen : Internet
Recently, the computational cost in execution of processes is considered to be one of the important
factors in concurrent systems and is beginning to interest to us. For example, the denial-of-service
attacks are related to it closely.Several formal systems have been proposed for reasoning about
concurrent systems. The Algebra of Communicating Processes (ACP) is proposed by J. A. Bergstra and J.
W. Klop, and an algebraic system for such reasoning. In such formal systems, the equivalence between
processes is the fundamental relation for reasoning, and several kinds of equivalence have been
investigated in the process algebras. These equivalence relations are based on behavior of processes. We
developed a formal system for reasoning about computational costs of concurrent systems in the previous
works, based on the Milner's pi-calculus. In this paper, we investigate another system based on a
subsystem of ACP, BPA(Basic Process Algebra). We first introduce cost value equality, which is based on
operational semantics of the process algebra and then give its formalized equality, called formal cost
equality. We study theoretical properties on the two equalities, such as soundness and completeness.
Moreover, we show some results on the cost formalization in other subsystems of ACP, such as PAP and
BPA+δ.
Recently, the computational cost in execution of processes is considered to be one of the important
factors in concurrent systems and is beginning to interest to us. For example, the denial-of-service
attacks are related to it closely.Several formal systems have been proposed for reasoning about
concurrent systems. The Algebra of Communicating Processes (ACP) is proposed by J. A. Bergstra and J.
W. Klop, and an algebraic system for such reasoning. In such formal systems, the equivalence between
processes is the fundamental relation for reasoning, and several kinds of equivalence have been
investigated in the process algebras. These equivalence relations are based on behavior of processes. We
developed a formal system for reasoning about computational costs of concurrent systems in the previous
works, based on the Milner's pi-calculus. In this paper, we investigate another system based on a
subsystem of ACP, BPA(Basic Process Algebra). We first introduce cost value equality, which is based on
operational semantics of the process algebra and then give its formalized equality, called formal cost
equality. We study theoretical properties on the two equalities, such as soundness and completeness.
Moreover, we show some results on the cost formalization in other subsystems of ACP, such as PAP and
BPA+δ.
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