**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32451

##### Construction of Intersection of Nondeterministic Finite Automata using Z Notation

**Authors:**
Nazir Ahmad Zafar,
Nabeel Sabir,
Amir Ali

**Abstract:**

**Keywords:**
Modeling,
Nondeterministic finite automata,
Znotation,
Integration of approaches,
Validation.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1079936

**References:**

[1] M. Y. Vardi, and T. Wilke, "Automata - from logic to algorithms," Logic and Automata - History and Perspectives, 2007.

[2] J. M. Spivey, "The Z notation, A Reference Manual," Englewood Cliffs, NJ, Prentice-Hall, 1989.

[3] I. J. Holub, "Finding Common Motifs with Gaps using Finite Automata," In Implementation and Application of Automata, Springer- Verlag, pp: 69-77, ISBN 3-540-37213-X, 2006.

[4] K. Brouwer, W. Gellerich and E. Ploedereder, "Myths and Facts about the Efficient Implementation of Finite Automata and Lexical Analysis," Springer-Berlin, ISBN 978-3-540-64304-3, 2006.

[5] I. Meisels and M. Saaltink, "The Z/EVES Reference Manual," TR-97- 5493-03, ORA Canada, CANADA, 1997.

[6] E. A. Boiten, J. Derrick and G. Smith, "Integrated Formal Methods (IFM 2004)," Canterbury, UK, Springer-Verlag, 2004.

[7] J. Davies and J. Gibbons, "Integrated Formal Methods (IFM 2007)," Oxford, UK, Springer-Verlag, 2007.

[8] J. Romijn, G. Smith and J. v. d. Pol, "Integrated Formal Methods (IFM 2005)," Eindhoven, The Netherlands, Springer-Verlag, 2005.

[9] K. Araki, A. Galloway and K. Taguchi, "Integrated Formal Methods (IFM 99)," York, UK, Springer-Verlag, 1999.

[10] M. Butler, L. Petre and K. Sere, "Integrated Formal Methods (IFM 2002)," Turku, Finland, Springer-Verlag, 2002.

[11] W. Grieskamp, T. Santen and B. Stoddart, "Integrated Formal Methods (IFM 2000)," Dagstuhl Castle, Germany, Springer-Verlag, 2000.

[12] J. S. Dong, R. Duke and P. Hao, "Integrating Object-Z with Timed Automata," 12th IEEE International Conference on Engineering Complex Computer Systems (ICECCS 2005), pp: 488-497, 2005.

[13] J. S. Dong et al, "Timed Patterns: TCOZ to Timed Automata," 6th International Conference on Formal Engineering Methods (ICFEM-04), LNCS, pp: 483-498, 2004.

[14] R. L. Constable, P. B. Jackson, P. Naumov and J. Uribe, "Formalizing Automata II: Decidable Properties," Cornell University, 1997.

[15] R. L. Constable, P. B. Jackson, P. Naumov and J. Uribe, "Constructively Formalizing Automata Theory," Foundations Of Computing Series, MIT Press, ISBN:0-262-16188-5, 2000.

[16] R. Bussow and W. Grieskamp, "A Modular Framework for the Integration of Heterogeneous Notations and Tools," Integrated Formal Methods (IFM 99), York, UK, Springer-Verlag, pp: 211-230, 1999.

[17] R. B├╝ssow, R. Geisler and M. Klar, "Specifying Safety-Critical Embedded Systems with Statecharts and Z: A Case Study," Fundamental Approaches to Software Engineering, Springer Berlin, ISBN, 978-3-540-64303-6, 2004.

[18] M. Heiner and M. Heisel, "Modeling safety-critical systems with Z and Petri nets," International Conference on Computer Safety, Reliability and Security, LNCS, Springer, pp: 361-374, 1999.

[19] X. He, "Pz nets a formal method integrating petri nets with z," Information & Software Technology, 43(1), pp: 1-18, 2001.

[20] H. Leading and J. Souquieres, "Integration of UML and B Specification Techniques: Systematic Transformation from OCL Expressions into B," Proceedings of Asia-Pacific Software Engineering Conference (APSEC02), Australia, 2002.

[21] H. Leading and J. Souquieres, "Integration of UML Views using B Notation," Proceedings of Workshop on Integration and Transformation of UML models (WITUML02), Spain, 2002.

[22] C. Heitmeyer, "On the Need for Practical Formal Methods," Lecture Notes in Computer Science, Vol.1486, pp: 18-26, 1998.

[23] E. Ciapessoni, A. C. Porisini, E. Crivelli, D. Mandrioli, P. Mirandola and A. Morzenti, "From Formal Models to Formally-Based Methods: An Industrial Experience," TOSEM, Vol.8, No.1, pp: 79-113, 1999.

[24] J. P. Bowen, "Ten Commandments of Formal Methods," IEEE Computer, Vol.28, No.4, pp: 56-63, 1995.

[25] J. P. Bowen and M. G. Hinchey, "The Use of Industrial-Strength of Formal Methods," Proceedings of 21st International Computer Software & Application Conference (COMPSAC'97), pp: 332-337, 1997.

[26] M. Barjaktarovic, "The State-of-the-Art in Formal Methods," AFOSR Summer Research Technical Report for Rome Research Site, Formal Methods Framework-Monthly Status Report, F30602-99-C-0166, WetStone Technologies, 1998.

[27] R. W. Butler, "What is Formal Methods?," NASA LaRC Formal Methods Program, 2001.

[28] S. Easterbrook, R. Lutz, R. Covington, J. Kelly, Y. Ampo and D. Hamilton, "Experiences Using Lightweight Formal Methods for Requirements Modeling," IEEE Transactions on Software Engineering, Vol.24, No.1, pp: 4-14, 1998.

[29] J. M. Wing, "A Specifier-s Introduction to Formal Methods," IEEE Computer, Vol.23, No.9, pp: 8-24, 1990.

[30] H. A. Gabbar, "Fundamentals of Formal Methods, Modern Formal Methods and Applications," Springer Netherlands, ISBN, 978-1-4020- 4222-5, 2006.

[31] J. E. Hopcroft, R. Motwani and J. D. Ullman, "Introduction to Automata Theory, Language and Computation," Addison-Wesley, Reading, 2001.

[32] M. Sipser, "Introduction to the Theory of Computation," Course Technology, ISBN-13: 9780534950972, 2005.

[33] C. T. Chou, "A Formal Theory of Undirected Graphs in Higher Order Logic," 7th International Workshop on Higher Order Logic Theorem Proving and Application, pp: 144-157, 1994.