Program Verification

The core feature of KeY is a theorem prover for Java Dynamic Logic based on a sequent calculus. It allows for full functional verification of sequential Java (without floats, garbage collection and multithreading, see the section below) and Java Card 2.2.x programs. Properties can be specified in the Java Modelling Language (JML) or in Java Dynamic Logic directly.

To try out KeY for program verification, go to the download page and follow the instructions. Upon start of KeY, you can select among several examples in menu “File > Load Examples”. Read the corresponding descriptions and try out what looks most interesting to you. Alternatively, have a look at our tutorials section.

Supported Java Features

Java is a very complex language which massively evolved over the time. KeY does not support all Java features. Some of those, like floating-point arithmetic, are in principle hard to handle from a theorem-proving point of view; others, like Generics and Lambdas, could be considered in future versions of the system.

The following (incomplete) table gives an overview about the state of selected Java features in the current KeY version. Features shaded in green are supported, those in red are unsupported; features in yellow are in principle not supported, but can be treated with restrictions by a workaround supplied by KeY.

A list of supported JML features is available here.

Feature State
Basic Java 1.2 features KeY supports Integer arithmetic (for both mathematical Integers and actual Integer types with overflows), Strings, inheritance, dynamic dispatch, loops, recursion, …
Enhanced “for” loops Supported.
Library methods KeY will throw an error when you use libraries the code of which is not in KeY’s classpath. However, we have a plugin in our eclipse extension which can create stubs with default contracts for library methods such that you can directly start proving properties about your code, or manually refine the stub specifications before.
Generics Unsupported; However, the eclipse extension comes along with a plugin to statically remove Generics from the code. In Eclipse with KeY installed, open the context menu on a project in the package explorer and select Remove Generics.
Floating point types Unsupported.
Multithreading Unsupported.
try-with-resources and multi-catch (both Java 7) Unsupported.
Java 8 features (lambdas etc.) Unsupported.

Tutorials

Video Tutorial: Interactive Verification with the Symbolic Execution Debugger (SED)

Video Tutorial: Proof Attempt Inspection with the Symbolic Execution Debugger

Formal Verification with KeY:
A Tutorial (2016)

By Bernhard Beckert, Reiner Hähnle, Martin Hentschel and Peter H. Schmitt

Book chapter of the KeY book. This chapter gives a systematic tutorial introduction on how to perform formal program verification with the KeY system. It illustrates a number of complications and pitfalls, notably programs with loops, and shows how to deal with them. After working through this tutorial, you should be able to formally verify with KeY the correctness of simple Java programs, such as standard sorting algorithms, gcd, etc.

Find this tutorial on SpringerLink

Note: The following tutorials may require older versions of KeY.

Verifying Object-Oriented Programs with KeY: A Tutorial (2007)

By Wolfgang Ahrendt, Bernhard Beckert, Reiner Hähnle, Philipp Rümmer, and Peter H. Schmitt.

Abstract. This paper is a tutorial on performing formal specification and semi-automatic verification of Java programs with the formal software development tool KeY. This tutorial aims to fill the gap between elementary introductions using toy examples and state-of-art case studies by going through a self-contained, yet non-trivial, example. It is hoped that this contributes to explain the problems encountered in verification of imperative, object-oriented programs to a readership outside the limited community of active researchers.

Download this tutorial.

KeY: The Sequent Calculus of the KeY Tool (2015)

Tutorial at CADE-25 by Reiner Hähnle and Peter H. Schmitt

You can download part I and part II of the slides of this tutorial as well as the corresponding KeY proofs.

Relevant blog posts

Proving JDK’s Dual Pivot Quicksort Correct - by Bernhard Beckert, Jonas Schiffl, Peter H. Schmitt and Mattias Ulbrich Sorting is a fundamental functionality in libraries, for which efficiency is crucial. Correctness of the highly optimized implementations is often taken for granted. De Gouw et al. have shown that this certainty is deceptive by revealing a bug in the Java Development Kit (JDK) […]
New Feature: State Merging in KeY - Current nightly builds of KeY contain a new feature called state merging, a technique to decrease the size of proof trees arising from the symbolic execution of large programs.

Literature

23 entries « 3 of 3 »

2011

Schmitt, Peter H; Ulbrich, Mattias; Weiß, Benjamin

Dynamic Frames in Java Dynamic Logic Inproceedings

Beckert, Bernhard; Marché, Claude (Ed.): Revised Selected Papers, International Conference on Formal Verification of Object-Oriented Software (FoVeOOS 2010), pp. 138–152, Springer, 2011.

BibTeX

2005

Darvas, Ádám; Hähnle, Reiner; Sands, Dave

A Theorem Proving Approach to Analysis of Secure Information Flow Inproceedings

Hutter, Dieter; Ullmann, Markus (Ed.): Proc. 2nd International Conference on Security in Pervasive Computing, pp. 193–209, Springer-Verlag, 2005.

Links | BibTeX

2003

Darvas, Ádám; Hähnle, Reiner; Sands, Dave

A Theorem Proving Approach to Analysis of Secure Information Flow Inproceedings

Gorrieri, Roberto (Ed.): Workshop on Issues in the Theory of Security, WITS, IFIP WG 1.7, ACM SIGPLAN and GI FoMSESS 2003.

BibTeX

23 entries « 3 of 3 »