Discussing Graph Theory with a Computer III, Man-machine Theorem Proving
Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 37
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The interactive programming system ``Graph'' for the
classification and extension of knowledge in the field of graph theory
has recently been implemented at the University of Belgrade, Faculty of
Electrical Engineereing. System ``Graph'' consists of a computerized
graph theory bibliography, a system for graph theoretic alorithms and a
mechanical theorem prover. This paper describes the theorem prover of
the system ``Graph''. The main features of the prover are:
formalization of graph theory by a first order calculus, well organized
files of definitions and lemmas, both interactive (natural deduction)
and non-interactive (resolution) work, usage of analogies, man-machine
communication by natural language (including sentences to be proved),
possibility to use graph theoretic alogithms to prove statements about
concrete graphs or to check conjectures on particular graphs including
random graphs.
Classification :
68G15 03B35 05C99
@article{PIM_1983_N_S_34_48_a6,
author = {Drago\v{s} M. Cvetkovi\'c and Irena Pevac},
title = {Discussing {Graph} {Theory} with a {Computer} {III,} {Man-machine} {Theorem} {Proving}},
journal = {Publications de l'Institut Math\'ematique},
pages = {37 },
year = {1983},
volume = {_N_S_34},
number = {48},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a6/}
}
TY - JOUR AU - Dragoš M. Cvetković AU - Irena Pevac TI - Discussing Graph Theory with a Computer III, Man-machine Theorem Proving JO - Publications de l'Institut Mathématique PY - 1983 SP - 37 VL - _N_S_34 IS - 48 UR - http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a6/ LA - en ID - PIM_1983_N_S_34_48_a6 ER -
Dragoš M. Cvetković; Irena Pevac. Discussing Graph Theory with a Computer III, Man-machine Theorem Proving. Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 37 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a6/