Toward mechanical methods for streamlining proofs

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 449 LNAI, Issue , 1990, Pages 351-365

  Pierce, William ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; NUMBER THEORY;

COMPUTATIONAL CONTENTS; ELEMENTARY NUMBER THEORY; MECHANICAL METHODS; MECHANICAL PROOF; PROGRAM TRANSFORMATIONS;

THEOREM PROVING;

EID: 36849049611     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-52885-7_99     Document Type: Conference Paper

References (9)

1. Andrews, Peter B., “Transforming Matings into Natural Deduction Proofs,” in Fifth Conference on Automated Deduction, W. Bibel, R. Kowalski (eds.), LNCS, no. 87, Springer-Verlag, 1980, pp. 281-292.
2. Burstall, R. M., John Darlington, “A Transformation System for Developing Recursive Programs,” JACM, vol. 24, no. 1, January 1977, pp. 44-67.
3. Constable, Robert L, et. al. Implementing Mathematics with the Nuprl Proof Development System, Prentice-Hall, Englewood Cliffs, 1986.
4. Darlington, John, “An Experimental Program Transformation and Synthesis System,” Artificial Intelligence, vol. 16, no. 1, March 1981, pp. 1-46.
5. Feather, Martin S., “A Survey and Classification of Some Program Transformation Approaches and Techniques,” in Program Specification and Transformation, L. G. L. T. Meertens (ed.), North-Holland, Amsterdam, 1987.
6. Gasteren, A. J. M. van, On the Shape of Mathematical Arguments, Ph.D. thesis, Eindhoven University of Technology, 1988.
7. Lingenfelder, Christoph, “Structuring Computer Generated Proofs,” Proc. of the 11th IJCAI, Detroit, 1989.
8. Miller, Dale A., “Expansion Tree Proofs and their Conversion to Natural Deduction Proofs,” in Seventh International Conference on Automated Deduction, R. E. Shostak (ed.), LNCS, no. 170, Springer-Verlag, 1984, pp. 375-393.
9. Pfenning, Frank, “Analytic and Non-analytic Proofs,” in Seventh International Conference on Automated Deduction, R. E. Shostak (ed.), LNCS, no. 170, Springer-Verlag, 1984, pp. 394-413.