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2021 | OriginalPaper | Chapter

An Educational Tool for Exploring the Pumping Lemma Property for Regular Languages

Authors : Josue N. Rivera, Haiping Xu

Published in: Advances in Software Engineering, Education, and e-Learning

Publisher: Springer International Publishing

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Abstract

Pumping lemma has been a very difficult topic for students to understand in a theoretical computer science course due to a lack of tool support. In this paper, we present an active learning tool called MInimum PUmping length (MIPU) educational software to explore the pumping lemma property for regular languages. For a given regular language, MIPU offers three major functionalities: determining the membership of an input string, generating a list of short strings that belong to the language, and automatically calculating the minimal pumping length of the language. The software tool has been developed to provide educational assistance to students to better understand the concepts of pumping lemma and minimum pumping length and promote active learning through hands-on practice.

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Literature
1.
go back to reference S. Yu, Regular languages, in Handbook of Formal Languages, Word, Language, Grammar, ed. by G. Rozenberg, A. Salomaa, vol. 1, (Springer, 1997), p. 41CrossRef S. Yu, Regular languages, in Handbook of Formal Languages, Word, Language, Grammar, ed. by G. Rozenberg, A. Salomaa, vol. 1, (Springer, 1997), p. 41CrossRef
2.
go back to reference W.S. McCulloch, W. Pitts, A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 5, 115–133 (1943)MathSciNetCrossRef W.S. McCulloch, W. Pitts, A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 5, 115–133 (1943)MathSciNetCrossRef
3.
go back to reference G. Piccinini, The first computational theory of mind and brain: A close look at Mcculloch and Pitts’s ‘logical calculus of ideas immanent in nervous activity’. Synthese 141(2), 175–215 (2004)MathSciNetCrossRef G. Piccinini, The first computational theory of mind and brain: A close look at Mcculloch and Pitts’s ‘logical calculus of ideas immanent in nervous activity’. Synthese 141(2), 175–215 (2004)MathSciNetCrossRef
4.
go back to reference M. Mani, N. Alkabour, D. Alao, Evaluating Effectiveness of Active Learning in Computer Science Using Metacognition, in Proceedings of the 2014 IEEE Frontiers in Education Annual Conference (FIE’14), (Madrid, 2014), pp. 1–8 M. Mani, N. Alkabour, D. Alao, Evaluating Effectiveness of Active Learning in Computer Science Using Metacognition, in Proceedings of the 2014 IEEE Frontiers in Education Annual Conference (FIE’14), (Madrid, 2014), pp. 1–8
5.
go back to reference W.B. Wood, Clickers: A teaching gimmick that works. Dev. Cell 7(6), 796–798 (2004) W.B. Wood, Clickers: A teaching gimmick that works. Dev. Cell 7(6), 796–798 (2004)
6.
go back to reference K. Kim, P. Sharma, S. Land, M. Furlong, Effects of active learning on enhancing student critical thinking in an undergraduate general science course. Innov. High. Educ. 38(3), 223–235 (2013)CrossRef K. Kim, P. Sharma, S. Land, M. Furlong, Effects of active learning on enhancing student critical thinking in an undergraduate general science course. Innov. High. Educ. 38(3), 223–235 (2013)CrossRef
7.
go back to reference H. Wang, Integrating modern software tools into online database course, in Proceedings of the International Conference on Frontiers in Education: Computer Science and Computer Engineering (FECS’17), (Las Vegas, Nevada, 2017), pp. 100–103 H. Wang, Integrating modern software tools into online database course, in Proceedings of the International Conference on Frontiers in Education: Computer Science and Computer Engineering (FECS’17), (Las Vegas, Nevada, 2017), pp. 100–103
8.
go back to reference S.H. Rodger, T.W. Finley, JFLAP – An Interactive Formal Languages and Automata Package (Jones and Bartlett Publishers, 2006) S.H. Rodger, T.W. Finley, JFLAP – An Interactive Formal Languages and Automata Package (Jones and Bartlett Publishers, 2006)
9.
go back to reference M. LoSacco, S.H. Rodger, FLAP: A tool for drawing and simulating automata, in ED-MEDIA 93, World Conference on Educational Multimedia and Hypermedia, (1993), pp. 310–317 M. LoSacco, S.H. Rodger, FLAP: A tool for drawing and simulating automata, in ED-MEDIA 93, World Conference on Educational Multimedia and Hypermedia, (1993), pp. 310–317
10.
go back to reference M. Procopiuc, O. Procopiuc, S. Rodger, Visualization and interaction in the computer science formal languages course with JFLAP, In Proceedings of the 1996 Frontiers in Education Annual Conference (FIE’96), Salt Lake City, Utah, 6–9 Nov. 1996, pp. 121–125 M. Procopiuc, O. Procopiuc, S. Rodger, Visualization and interaction in the computer science formal languages course with JFLAP, In Proceedings of the 1996 Frontiers in Education Annual Conference (FIE’96), Salt Lake City, Utah, 6–9 Nov. 1996, pp. 121–125
11.
go back to reference M. Sipser, Introduction to the Theory of Computation (3rd Edition, Cengage Learning, 2013)MATH M. Sipser, Introduction to the Theory of Computation (3rd Edition, Cengage Learning, 2013)MATH
Metadata
Title
An Educational Tool for Exploring the Pumping Lemma Property for Regular Languages
Authors
Josue N. Rivera
Haiping Xu
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-70873-3_11