Title
The Proof Certifier Checkers
Abstract
Different theorem provers work within different formalisms and paradigms, and therefore produce various incompatible proof objects. Currently there is a big effort to establish foundational proof certificates fpc, which would serve as a common \"specification language\" for all these formats. Such framework enables the uniform checking of proof objects from many different theorem provers while relying on a small and trusted kernel to do so. Checkers is an implementation of a proof checker using foundational proof certificates. By trusting a small kernel based on focused sequent calculus on the one hand and by supporting fpc specifications in a prolog-like language on the other hand, it can be used for checking proofs of a wide range of theorem provers. The focus of this paper is on the output of equational resolution theorem provers and for this end, we specify the paramodulation rule. We describe the architecture of Checkers and demonstrate how it can be used to check proof objects by supplying the fpc specification for a subset of the inferences used by eprover and checking proofs using these inferences.
Year
DOI
Venue
2015
10.1007/978-3-319-24312-2_14
TABLEAUX
Field
DocType
Volume
Specification language,Computer-assisted proof,Discrete mathematics,Programming language,Computer science,Structural proof theory,Automated proof checking,Algorithm,Sequent calculus,Mathematical proof,Proof complexity,Rotation formalisms in three dimensions
Conference
9323
ISSN
Citations 
PageRank 
0302-9743
7
0.46
References 
Authors
5
3
Name
Order
Citations
PageRank
Zakaria Chihani1313.79
Tomer Libal2336.89
Giselle Reis3809.83