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Mathematical proofs as graph search problems in theory courses

Published: 01 March 1999 Publication History

Abstract

In this paper, we describe a graph-based approach to the construction of simple mathematical proofs. In contrast with traditional linear proofs, this technique helps the student organize the solution process and provides a visual representation of the proof. This approach has been used to introduce proofs in a discrete structure course. The author has observed a statistically significant increase in students' performance when answering related test problems.

References

[1]
Gersting, J. Mathematical Structures for Computer Science, 3rd edition. Computer Science Press, 1993.
[2]
Linz, P. An Introduction to Formal Languages and Automata, 2"d edition. D.C. Heath and Company, 1996.
[3]
Lugger, G. and Stubblefield, W. Artificial intelligence: Structures and Strategies for Complex Problem Solving, 3rd edition, Benjamin/Cummings Pub. Co., Inc., 1997.
[4]
Rosen, K. Discrete Mathematics and its Applications, 3r~ edition. McGraw-Hill, Inc., 1995.

Cited By

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  • (2017)A blocks-based language for program correctness proofs2017 IEEE Blocks and Beyond Workshop (B&B)10.1109/BLOCKS.2017.8120410(49-52)Online publication date: Oct-2017

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Published In

cover image ACM Conferences
SIGCSE '99: The proceedings of the thirtieth SIGCSE technical symposium on Computer science education
March 1999
383 pages
ISBN:1581130856
DOI:10.1145/299649
  • Chairmen:
  • Jane Prey,
  • Bob Noonan
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 March 1999

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SIGCSE99
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SIGCSE99: The 30th ACM SIGCSE Technical Symposium
March 24 - 28, 1999
Louisiana, New Orleans, USA

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SIGCSE '99 Paper Acceptance Rate 70 of 190 submissions, 37%;
Overall Acceptance Rate 1,595 of 4,542 submissions, 35%

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Cited By

View all
  • (2017)A blocks-based language for program correctness proofs2017 IEEE Blocks and Beyond Workshop (B&B)10.1109/BLOCKS.2017.8120410(49-52)Online publication date: Oct-2017

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