Background

The PxTP workshop brings together researchers working on various aspects of communication, integration, and cooperation between reasoning systems and formalisms.

The progress in computer-aided reasoning, both automated and interactive, during the past decades, made it possible to build deduction tools that are increasingly more applicable to a wider range of problems and are able to tackle larger problems progressively faster. In recent years, cooperation of such tools in larger verification environments has demonstrated the potential to reduce the amount of manual intervention. Examples include the Sledgehammer tool providing an interface between Isabelle and (untrusted) automated provers, and also collaboration of the HOL Light and Isabelle systems in the formal proof of the Kepler conjecture.

Cooperation between reasoning systems relies on availability of theoretical formalisms and practical tools to exchange problems, proofs, and models. The PxTP workshop strives to encourage such cooperation by inviting contributions on suitable integration, translation and communication methods, standards, protocols, and programming interfaces. The workshop welcomes the interested developers of automated and interactive theorem proving tools, developers of combined systems, developers and users of translation tools and interfaces, and producers of standards and protocols. We are interested both in success stories and in descriptions of the current bottlenecks and proposals for improvement.

Topics

Topics of interest for this workshop include all aspects of cooperation between reasoning tools, whether automatic or interactive. More specifically, some suggested topics are:

• applications that integrate reasoning tools (ideally with certification of the result);
• translations between logics, proof systems, models;
• distribution of proof obligations among heterogeneous reasoning tools;
• algorithms and tools for checking and importing (replaying, reconstructing) proofs;
• proposed formats for expressing problems and solutions for different classes of logic solvers (SAT, SMT, QBF, first-order logic, higher-order logic, typed logic, rewriting, etc.);
• meta-languages, logical frameworks, communication methods, standards, protocols, and APIs connected to problems, proofs, and models;
• comparison, refactoring, and optimization of proofs;
• practical experiences, case studies, feasibility studies;
• applications relying on importing proofs from automatic theorem provers, such as certified static analysis, proof-carrying code, or certified compilation;
• data structures and algorithms for improved proof production in solvers (e.g., efficient proof representations).

Submissions

Researchers interested in participating are invited to submit either an extended abstract (up to 8 pages) or a regular paper (up to 15 pages). Submissions will be refereed by the program committee, which will select a balanced program of high-quality contributions. Short submissions that could stimulate fruitful discussion at the workshop are particularly welcome. We expect that one author of every accepted paper will present their work at the workshop.

Submitted papers should describe previously unpublished work, and must be prepared using the LaTeX EPTCS class. Papers will be submitted via EasyChair, at the PxTP'2015 workshop page. Accepted full papers will appear in an EPTCS volume.

Important dates

• Abstract submission: Thu, May 7, 2015
• Paper submission: Thu, May 14, 2015 Tue, May 19, 2015
• Notification: Tue, June 16, 2015
• Camera ready versions due: Thu, June 25, 2015
• Workshop: August 2-3, 2015

Invited speakers

• Georges Gonthier (Microsoft Research)
• Bart Jacobs (KU Leuven)

Registration

Registration to PxTP is part of the CADE registration process. Delegates registering for either August 2 or August 3 are welcome to all sessions of PxTP.

Proceedings

The PxTP 2015 proceedings are now available. You can also download them as a single PDF file.

Program

Sunday, August 2

9:30-10:30	Invited speaker: Georges Gonthier Reflection, of all shapes and sizes
10:30-11:00	coffee break
11:00-11:30	Quentin Heath and Dale Miller A framework for proof certificates in finite state exploration
11:30-12:00	Christoph Benzmüller, Maximilian Claus and Nik Sultana Systematic Verification of the Modal Logic Cube in Isabelle/HOL
12:00-12:30	Mark Adams The Common HOL Platform
12:30-14:00	lunch break
14:00-14:30	Giselle Reis Importing SMT and Connection proofs as expansion trees
14:30-14:50	Mikheil Rukhaia Theorem Proving in Formula Schemata [presentation only]
14:50-15:30	Discussion session: Encyclopedia of Proof Systems mediated by Bruno Woltzenlogel Paleo
15:30-16:00	coffee break
16:00-17:00	Panel discussion moderated by Dale Miller

Monday, August 3

9:30-10:30	Invited speaker: Bart Jacobs The VeriFast program verifier and its SMT solver interaction
10:30-11:00	coffee break
11:00-11:30	Raphaël Cauderlier and Pierre Halmagrand Checking Zenon Modulo Proofs in Dedukti
11:30-12:00	Ali Assaf and Guillaume Burel Translating HOL to Dedukti
12:00-12:30	Ali Assaf and Raphaël Cauderlier Mixing HOL and Coq in Dedukti

Program committee

• Jesse Alama (Vienna University of Technology)
• Peter Baumgartner (NICTA)
• Jasmin Blanchette (TU München)
• Guillaume Burel (CÉDRIC, ENSIIE)
• Évelyne Contejean (LRI, CNRS, Université Paris Sud)
• Cezary Kaliszyk (University of Innsbruck), co-chair
• Ramana Kumar (University of Cambridge)
• Dale Miller (Inria / LIX, École polytechnique)
• Bruno Woltzenlogel Paleo (Vienna University of Technology)
• Andrei Paskevich (LRI, Université Paris Sud), co-chair
• Damien Pous (LIP, CNRS, ENS Lyon)
• Geoff Sutcliffe (University of Miami)
• Laurent Théry (Inria)
• Cesare Tinelli (University of Iowa)
• Josef Urban (Radboud University Nijmegen)

Previous editions

• PxTP 2011 (affiliated with CADE-23)
• PxTP 2012 (affiliated with IJCAR 2012)
• PxTP 2013 (affiliated with CADE-24)