lemma generation
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Author(s):  
Christoph Wernhard ◽  
Wolfgang Bibel

AbstractThe material presented in this paper contributes to establishing a basis deemed essential for substantial progress in Automated Deduction. It identifies and studies global features in selected problems and their proofs which offer the potential of guiding proof search in a more direct way. The studied problems are of the wide-spread form of “axiom(s) and rule(s) imply goal(s)”. The features include the well-known concept of lemmas. For their elaboration both human and automated proofs of selected theorems are taken into a close comparative consideration. The study at the same time accounts for a coherent and comprehensive formal reconstruction of historical work by Łukasiewicz, Meredith and others. First experiments resulting from the study indicate novel ways of lemma generation to supplement automated first-order provers of various families, strengthening in particular their ability to find short proofs.


2019 ◽  
Vol 299 ◽  
pp. 4-18 ◽  
Author(s):  
Emanuele De Angelis ◽  
Fabio Fioravanti ◽  
Alberto Pettorossi ◽  
Maurizio Proietti

2019 ◽  
Vol E102.D (2) ◽  
pp. 223-238
Author(s):  
Chengcheng JI ◽  
Masahito KURIHARA ◽  
Haruhiko SATO

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