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On recursive operations over logic LTS†

Published online by Cambridge University Press:  10 November 2014

YAN ZHANG ,
ZHAOHUI ZHU  and
JINJIN ZHANG
YAN ZHANG
Affiliation:
College of Computer Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China Email: zhaohui@nuaa.edu.cn, zhaohui.nuaa@gmail.com
ZHAOHUI ZHU
Affiliation:
College of Computer Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China Email: zhaohui@nuaa.edu.cn, zhaohui.nuaa@gmail.com
JINJIN ZHANG
Affiliation:
School of Information Science, Nanjing Audit University, Nanjing 211815, P. R. China
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Abstract

Recently, in order to mix algebraic and logic styles of specification in a uniform framework, the notion of a logic labelled transition system (Logic LTS or LLTS for short) has been introduced and explored. A variety of constructors over LLTS, including usual process-algebraic operators, logic connectives (conjunction and disjunction) and standard temporal modalities (always and unless), have been given. However, no attempt has been made so far to develop the general theory concerning (nested) recursive operations over LLTS and a few fundamental problems are still open. This paper intends to study this issue in a pure process-algebraic style. A few fundamental properties, including precongruence and the uniqueness of consistent solutions of equations, will be established.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Issue 6 , September 2015 , pp. 1382 - 1431
Copyright
Copyright © Cambridge University Press 2014 

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Footnotes

†

This work received financial support of the National Natural Science of China (No. 60973045), Fok Ying-Tung Education Foundation, NSF of the Jiangsu Higher Education Institutions (No. 13KJB520012) and the Fundamental Research Funds for the Central Universities (No. NZ2013306).

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