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CADE
1998
Springer
13 years 11 months ago
A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia
Abstract. The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia's reasoning is resolute...
Jacques D. Fleuriot, Lawrence C. Paulson
CADE
2009
Springer
14 years 8 months ago
Efficient Intuitionistic Theorem Proving with the Polarized Inverse Method
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
Sean McLaughlin, Frank Pfenning
FSTTCS
2008
Springer
13 years 8 months ago
Sound Lemma Generation for Proving Inductive Validity of Equations
ABSTRACT. In many automated methods for proving inductive theorems, finding a suitable generalization of a conjecture is a key for the success of proof attempts. On the other hand...
Takahito Aoto
ADG
2000
Springer
122views Mathematics» more  ADG 2000»
13 years 11 months ago
Automated Theorem Proving in Incidence Geometry - A Bracket Algebra Based Elimination Method
In this paper we propose a bracket algebra based elimination method for automated generation of readable proofs for theorems in incidence geometry. This method is based on two tech...
Hongbo Li, Yihong Wu
TPHOL
2003
IEEE
14 years 17 days ago
Applications of Polytypism in Theorem Proving
Abstract. Polytypic functions have mainly been studied in the context of functional programming languages. In that setting, applications of polytypism include elegant treatments of...
Konrad Slind, Joe Hurd