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CADE-21

The 21 st Conference on Automated Deduction

4th International Verification Workshop

VERIFY’07

Editor:

Bernhard Beckert

Bremen, Germany, July 15–16, 2007

CADE-21 Organization:

Conference Chair: Michael Kohlhase (Jacobs University Bremen) Program Chair: Frank Pfenning (Carnegie Mellon University) Workshop Chair: Christoph Benzm¨uller (University of Cambridge) Local Organization: Event4 Event Management

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Preface

The VERIFY workshop series aims at bringing together people who are in- terested in the development of safety and security critical systems, in formal methods, in the development of automated theorem proving techniques, and in the development of tool support. Practical experiences gained in realistic veri- fications are of interest to the automated theorem proving community and new theorem proving techniques should be transferred into practice. The overall ob- jective of the VERIFY workshops is to identify open problems and to discuss possible solutions under the theme “What are the verification problems? What are the deduction techniques?”.

This volume contains the research papers presented at the4th International Verification Workshop(VERIFY’07) held July 15–16, 2007 in Bremen, Germany.

This workshop was the 4th in a series of international meetings since 2002. It was affiliated with the21st Conference on Automated Deduction (CADE-21).

Each paper submitted to the workshop was reviewed by three referees, and an intensive discussion on the borderline papers was held during the online meeting of the Program Committee. 13 research papers were accepted based on originality, technical soundness, presentation, and relevance. I wish to sincerely thank all the authors who submitted their work for consideration. And I would like to thank the Program Committee members and other referees for their great effort and professional work in the review and selection process. Their names are listed on the following pages.

In addition to the contributed papers, the program included three excellent keynote talks. I am grateful to Prof. Cesare Tinelli (The University of Iowa, USA), Prof. Tobias Nipkow (TU M¨unchen, Germany), and Prof. Aaron Stump (Washington University in St. Louis, USA) for accepting the invitation to address the workshop.

July 2007 Bernhard Beckert

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Program Chair and Organiser

Bernhard Beckert University of Koblenz-Landau, Germany

Program Committee

Serge Autexier DFKI & University Saarbr¨ucken, Germany Yves Bertot INRIA Sophia Antipolis, France

Bruno Dutertre SRI International, USA

Reiner H¨ahnle Chalmers University, Gothenburg, Sweden Dieter Hutter DFKI Saarbr¨ucken, Germany

Andrew Ireland Heriot-Watt University, Edinburgh, UK Deepak Kapur University of New Mexico, USA

Joost-Pieter Katoen RWTH Aachen, Germany Joseph Kiniry University Dublin, Ireland

Heiko Mantel RWTH Aachen, Germany

Fabio Massacci University of Trento, Italy Stephan Merz INRIA Lorraine, France

Till Mossakowski University of Bremen, Germany Lawrence C. Paulson University of Cambridge, UK Wolfgang Reif University of Augsburg, Germany Julian Richardson Powerset Inc., USA

Luca Vigan`o University of Verona, Italy Christoph Walther TU Darmstadt, Germany

Steering Committee

Serge Autexier DFKI & University Saarbr¨ucken, Germany

Heiko Mantel RWTH Aachen, Germany

Additional Referees

Dominik Haneberg Holger Grandy Kurt Stenzel

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Table of Contents

Invited Talks

Reflecting Linear Arithmetic: From Dense Linear Orders to Presburger

Arithmetic. . . 1 Tobias Nipkow

Lightweight Verification with Dependent Types. . . 2 Aaron Stump

Trends and Challenges in Satisfiability Modulo Theories . . . 3 Cesare Tinelli

Research Papers

Formal Device and Programming Model for a Serial Interface. . . 4 Eyad Alkassar, Mark Hillebrand, Steffen Knapp, Rostislav Rusev,

Sergey Tverdyshev

A Mechanization of Phylogenetic Trees . . . 21 Mamoun Filali

Combinations of Theories and the Bernays-Sch¨onfinkel-Ramsey Class. . . . 37 Pascal Fontaine

ALICE: An Advanced Logic for Interactive Component Engineering. . . 55 Borislav Gajanovic, Bernhard Rumpe

A History-based Verification of Distributed Applications . . . 70 Bruno Langenstein, Andreas Nonnengart, Georg Rock, Werner Stephan

Symbolic Fault Injection. . . 85 Daniel Larsson, Reiner H¨ahnle

A Termination Checker for Isabelle Hoare logic . . . 104 Jia Meng, Lawrence C. Paulson, Gerwin Klein

The Heterogeneous Tool Set. . . 119 Till Mossakowski, Christian Maeder, Klaus L¨uttich

Fully Verified JAVACARDAPI Reference Implementation . . . 136 Wojciech Mostowski

Automated Formal Verification of PLC Programs Written in IL. . . 152 Olivera Pavlovic, Ralf Pinger, Maik Kollmann

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Combining Deduction and Algebraic Constraints for Hybrid System

Analysis . . . 164 Andr´e Platzer

A Sequent Calculus for Integer Arithmetic with Counterexample

Generation. . . 179 Philipp R¨ummer

Inferring Invariants by Symbolic Execution. . . 195 Peter H. Schmitt, Benjamin Weiß

Author Index

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