David Pichardie and Tjark Weber, editors. Volume 878 of CEUR Workshop Proceedings, July 2012.
The goal of the PxTP workshop series is to bring together researchers working on proof production from automated theorem provers with potential consumers of proofs. Machine-checkable proofs have been proposed for applications like proof-carrying code and certified compilation, as well as for exchanging knowledge between different automated reasoning systems. For example, interactive theorem provers can import results from otherwise untrusted high-performance solvers, by means of proofs the solvers produce. In such situations, one automated reasoning tool can make use of the results of another, without having to trust that the second tool is sound. It is only necessary to be able to reconstruct a proof that the first tool will accept, in order to import the result without increasing the size of the trusted computing base.
This simple idea of proof exchange for theorem proving becomes quite complicated under the real-world constraints of highly complex and heterogeneous proof producers and proof consumers. For example, even the issue of a standard proof format for a single class of solvers, like SMT solvers, is quite difficult to address, as different solvers use different inference systems. It may be quite challenging, from an engineering and possibly also theoretical point of view, to fit these into a single standard format. Emerging work from several groups proposes standard meta-languages or parametrised formats to achieve flexibility while retaining a universal proof language.
PxTP 2012, the Second International Workshop on Proof Exchange for Theorem Proving, was held as a satellite event of IJCAR on June 30, 2012, in Manchester, UK. The workshop featured invited talks by Robert L. Constable and Stephan Merz, a joint session with the Third Workshop on Practical Aspects of Automated Reasoning (PAAR 2012), and presentations of the five accepted papers that are collected in this volume. We would like to thank the IJCAR organisers, the PxTP program committee, the authors and speakers, and everyone else who contributed to the workshop's success.
The original publication is available at http://ceur-ws.org/Vol-878/.
@proceedings{pichardie12proof,
editor = {David Pichardie and Tjark Weber},
title = {Proceedings of the Second International Workshop on Proof Exchange for Theorem Proving (PxTP 2012), Manchester, UK, June~30, 2012},
volume = {878},
series = {CEUR Workshop Proceedings},
month = jul,
year = {2012},
issn = {1613-0073},
url = {http://ceur-ws.org/Vol-878/}
}