Learning from {\L}ukasiewicz and Meredith: Investigations into Proof
Structures (Extended Version)
- URL: http://arxiv.org/abs/2104.13645v1
- Date: Wed, 28 Apr 2021 09:09:20 GMT
- Title: Learning from {\L}ukasiewicz and Meredith: Investigations into Proof
Structures (Extended Version)
- Authors: Christoph Wernhard and Wolfgang Bibel
- Abstract summary: This paper studies global features in selected problems and their proofs.
The studied problems are of the wide-spread form of "axiom(s) and rule(s) imply goal(s)"
- Score: 4.111899441919164
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The 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 {\L}ukasiewicz,
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.
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