Reconstructing proofs at the assertion level

X Huang - Automated Deduction—CADE-12: 12th International …, 1994 - Springer
Most automated theorem provers suffer from the problem that they can produce proofs only
in formalisms difficult to understand even for experienced mathematicians. Effort has been …

Presenting machine-found proofs

X Huang, A Fiedler - International Conference on Automated Deduction, 1996 - Springer
This paper outlines an implemented system named PROVERB that transforms and abstracts
machine-found proofs to natural deduction style proofs at an adequate level of abstraction …

Translating machine-generated resolution proofs into ND-proofs at the assertion level

X Huang - Pacific Rim International Conference on Artificial …, 1996 - Springer
Most automated theorem provers suffer from the problem that the resulting proofs are difficult
to understand even for experienced mathematicians. Therefore, efforts have been made to …

Presenting proofs in a human-oriented way

H Ganzinger, H Horacek - … —CADE-16: 16th International Conference on …, 1999 - Springer
Presenting machine-generated proofs in terms adequate to the needs of a human audience
is a serious challenge. One salient property of mathematical proofs as typically found in …

System Description: Tramp: Transformation of Machine-Found Proofs into Natural Deduction Proofs at the Assertion Level

A Meier - International Conference on Automated Deduction, 2000 - Springer
The Tramp system transforms the output of several automated theorem provers for first order
logic with equality into natural deduction proofs at the assertion level. Through this interface …

System description: GAPT 2.0

G Ebner, S Hetzl, G Reis, M Riener… - … Joint Conference on …, 2016 - Springer
Abstract GAPT (General Architecture for Proof Theory) is a proof theory framework
containing data structures, algorithms, parsers and other components common in proof …

Analytica—A theorem prover in Mathematica

E Clarke, X Zhao - International Conference on Automated Deduction, 1992 - Springer
Current automatic theorem provers, particularly those based on some variant of resolution,
have concentrated on obtaining ever higher inference rates by using clever programming …

Methods of lemma extraction in natural deduction proofs

K Pąk - Journal of Automated Reasoning, 2013 - Springer
The existing examples of natural deduction proofs, either declarative or procedural, indicate
that often the legibility of proof scripts is of secondary importance to the authors. As soon as …

Analytic and non-analytic proofs

F Pfenning - International Conference on Automated Deduction, 1984 - Springer
In automated theorem Poving different kinds of proof systems have been used. Traditional
proof systems, such as Hilbert-style proofs or natural deduction we call non-analytic, while …

System for Automated Deduction (SAD): a tool for proof verification

K Verchinine, A Lyaletski, A Paskevich - International Conference on …, 2007 - Springer
In this paper a proof assistant called SAD is presented. SAD deals with mathematical texts
that are formalized in the ForTheL language (a brief description of which is also given) and …