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Free software tools for formal verification of computer programs


by David Mentré <dmentre @ linux-france.org>

Version 1.23- 2011-12-11

We are now living in the XXIst century. We should no longer make software as in the sixties or seventies, with a few tests. We are now able to make software without any bugs (well, without most of them, see below). This is possible using specialised tools called formal tools. Such tools are able to match a computer program against a specification, i.e. a formal description of the expected behaviour of the program. If the specification is correct and the formal verification can be done, then the program is guaranteed to be bug free. Of course, this is the ideal case and we are far from guaranteed bug free programs in the real world. But, as developer of free software, we should try to be as close as possible of this goal. As a first step, I list here free software tools that can help verification of computer programs.

Note: David A. Wheeler as made a lengthy paper on High Assurance (for Security or Safety) and [[free_-_libre|Free-Libre / Open Source Software (FLOSS)… with Lots on Formal Methods]]. You should read it if you are interested in the subject!

Sub-pages :


Brillant


Set of free software tools aiming at implementing the B method, for both software and hardware.




Maude


Maude is a high-performance reflective language and system supporting both equational and rewriting logic specification and programming for a wide range of applications. Maude has been influenced in important ways by the OBJ3 language, which can be regarded as an equational logic sublanguage. Besides supporting equational specification and programming, Maude also supports rewriting logic computation.

Rewriting logic is a logic of concurrent change that can naturally deal with state and with concurrent computations. It has good properties as a general semantic framework for giving executable semantics to a wide range of languages and models of concurrency. In particular, it supports very well concurrent object-oriented computation. The same reasons making rewriting logic a good semantic framework make it also a good logical framework, that is, a metalogic in which many other logics can be naturally represented and executed.


Sparkle


Sparkle is a proof tool specially constructed for Clean (a state-of-the-art pure and lazy functional programming language). The tool knows the Clean 2.0 syntax and semantics. It comes with a rich set of proof tactics and a powerful hint mechanism to aid the user in proving properties of Clean programs.


[[proof_power|ProofPower]]


ProofPoweris a suite of tools supporting specification and proof in Higher Order Logic (HOL) and in the Z notation. The suite comprises the following packages:

  • PPDev * The ProofPowerdeveloper kit, mainly comprising SLRP, a parser generator for Standard ML.
  • PPTex * The ProofPowerinterface to TeXand LaTeX.
  • PPXpp - The X Windows/Motif front-end for ProofPower.
  • PPHol - The HOL specification and proof development system.
  • PPZed - The Z specification and proof development system.
  • PPDaz - The Compliance Tool for specifying and verifying Ada programs.

All the ProofPowerpackages except PPDaz are free, open-source, software made available under the terms of the GNU General Public License.

ProofPowerhas been under ongoing development since 1989. It was originally designed and implemented by International Computers Ltd. to support proofs of specification-to-model correspondence for high-assurance secure systems. It has since played an important role in approaches to specifying and verifying safety-critical systems in work by the Defence and Evaluation Research Agency, now QinetiQ, and others. Since 1997, on-going developments to the product have been undertaken by Lemma 1 Ltd. In Spring 2000, International Computers Ltd. transferred its rights in ProofPowerto Lemma 1 Ltd who now maintain this web site and support and distribute the software.

K


K is a rewrite-based executable semantic framework in which programming languages, type systems and formal analysis tools can be defined using configurations, computations and rules. Configurations organize the state in units called cells, which are labeled and can be nested. Computations carry computational meaning as special nested list structures sequentializing computational tasks, such as fragments of program. Computations extend the original language abstract syntax. K (rewrite) rules make it explicit which parts of the term they read-only, write-only, read-write, or do not care about. This makes K suitable for defining truly concurrent languages even in the presence of sharing. Computations are like any other terms in a rewriting environment: they can be matched, moved from one place to another, modified, or deleted. This makes K suitable for defining control-intensive features such as abrupt termination, exceptions or call/cc.

Model checkers


Model checkers are tool that verify all possible states of a formal model, i.e. a formal description of a system. Compared to proof assistant, they can be less powerful but easier to use.


[[nu_smv|NuSMV]]


NuSMVis a reimplementation and extension of SMV, the first model checker based on BDDs. NuSMVhas been designed to be an open architecture for model checking, which can be reliably used for the verification of industrial designs, as a core for custom verification tools, as a testbed for formal verification techniques, and applied to other research areas.


Murphi


Murphi also has a formal verifier based on explicit state enumeration. The verifier performs depth- or breadth-first search in the state graph defined by a Murphi description, storing all the states it encounters in a large hash table. When a state is generated that is already in the hash table, the search algorithm does not expand its successor states (they were expanded whenever the state was originally inserted in the table).


Mec 5


Mec 5 is a model-checker for finite AltaRicamodels, using a very expressive specification language (systems of fixpoint equations over finite relations with first-order quantifiers and equality testing).

Maria


Maria is a reachability analyzer for concurrent systems that uses Algebraic System Nets (a high-level variant of Petri nets) as its modelling formalism.

SAT Solvers


CVC3


CVC3 is an automatic theorem prover for Satisfiability Modulo Theories (SMT) problems. It can be used to prove the validity (or, dually, the satisfiability) of first-order formulas in a large number of built-in logical theories and their combination.

CVC3 is the last offspring of a series of popular SMT provers, which originated at Stanford University with the SVC system. In particular, it builds on the code base of CVC Lite, its most recent predecessor. Its high level design follows that of the Sammy prover.

CVC3 works with a version of first-order logic with polymorphic types and has a wide variety of features including:

  • several built-in base theories: rational and integer linear arithmetic, arrays, tuples, records, inductive data types, bit vectors, and equality over uninterpreted function symbols;
  • support for quantifiers;
  • an interactive text-based interface;
  • a rich C and C++ API for embedding in other systems;
  • proof and model generation abilities;
  • predicate subtyping;
  • essentially no limit on its use for research or commercial purposes (see license).


SAL


The heart of SAL is a language, developed in collaboration with Stanford and Berkeley, for specifying concurrent systems in a compositional way. It is supported by a tool suite that includes state of the art symbolic (BDD-based) and bounded (SAT-based) model checkers, an experimental “Witness” model checker, and a unique “infinite” bounded model checker based on SMT solving. Auxiliary tools include a simulator, deadlock checker and an automated test generator.

Alt Ergo


Alt-Ergo is an automatic theorem prover dedicated to program verification. Alt-Ergo is based on CC(X) a congruence closure algorithm parameterized by an equational theory X. Currently, CC(X) can be instantiated by the empty equational theory and by the linear arithmetics. Alt-Ergo contains also a home made SAT-solver and an instantiation mechanism.

Gappa


Gappa (Génération Automatique de Preuves de Propriétés Arithmétiques) is a tool intended to help verifying and formally proving properties on numerical programs dealing with floating-point or fixed-point arithmetic. It has been used to write robust floating-point filters for CGAL and it is used to certify elementary functions in CRlibm. While Gappa is intended to be used directly, it can also act as a backend prover for the Why software verification plateform or as an automatic tactic for the Coq proof assistant.

Tools to help verification of real programs


I have put under this category software that can be applied to real world programs (in language like C for example) to prove properties on them.

[[im_prove|ImProve]]


ImProve is an imperative programming language for high assurance applications. ImProve uses infinite state, unbounded model checking to verify programs adhere to specifications. Yices (required) is the backend SMT solver. ImProve compiles to C, Ada, Simulink, and Modelica.

Boogie


Boogie is a program verification system that produces verification conditions for programs written in an intermediate language (also named Boogie). The intermediate language is easy to target from source languages such as Spec#, C#, or even C.

Saturn


The goal of the Saturn project is to statically and automatically verify properties of large (meaning multi-million line) software systems. The focus of much of our work is simultaneously achieving scalability, precision, and a straightforward way of expressing analyses that is easy to reason about. We plan to use these techniques to verify properties of a full operating system.


[[frama_-c|Frama-C]]


Frama-C is a suite of tools dedicated to the analysis of the source code of software written in C.

If you have a C program and need to

  • validate it formally
  • look for potential runtime errors
  • audit or review it
  • reverse engineer it to understand its structure
  • generate formal documentation

One or more of the following Frama-C tools may be of assistance to you:

  • A parser, a type checker and source level linker for C code optionally annotated with ACSL formulas.
  • A set of builtin static analysis plugins:
    • A runtime error detection plug-in based on abstract interpretation techniques
    • A dependencies computation plug-in
    • An interactive value analysis plug-in
    • A Use/Defs computation plug-in
    • A slicing plug-in
    • A weakest precondition calculus plug-in based on Floyd-Hoare logic
  • List of alarms detected by the value analysis is “uninitialized access, use of a dangling pointer, overflows in signed integer arithmetics, invalid memory access, invalid comparison of pointers, division by zero, undefined logical shift, overflows in conversions from floating-point to integer, infinite or NaN resulting from a floating-point operation, undefined side-effects in expressions”

Why


Why is a verification conditions generator (VCG) back-end for other verification tools. It understands ML, C and Java languages (with the help of other programs).


CIL


CIL is a framework to analyse and manipulate C programs.


Splint


Splint is a tool for statically checking C programs for security vulnerabilities and coding mistakes. With minimal effort, Splint can be used as a better lint. If additional effort is invested adding annotations to programs, Splint can perform stronger checking than can be done by any standard lint.


Cqual


Cqual is a type-based analysis tool that provides a lightweight, practical mechanism for specifying and checking properties of C programs. Cqual extends the type system of C with extra user-defined type qualifiers. The programmer adds type qualifier annotations to their program in a few key places, and Cqual performs qualifier inference to check whether the annotations are correct. The analysis results are presented with a user interface that lets the programmer browse the inferred qualifiers and their flow paths.


CCured


CCured is a source-to-source translator for C. It analyzes the C program to determine the smallest number of run-time checks that must be inserted in the program to prevent all memory safety violations. The resulting program is memory safe, meaning that it will stop rather than overrun a buffer or scribble over memory that it shouldn't touch. Many programs can be made memory-safe this way while losing only 10$-160% run-time performance (the performance cost is smaller for cleaner programs, and can be improved further by holding CCured's hand on the parts of the program that it does not understand by itself). Using CCured we have found bugs that Purify misses with an order of magnitude smaller run-time cost.


CHIC


CHIC is a modular verifier for behavioral compatibility checking of software and hardware components. The goal of CHIC is to be able to check that the interfaces for software or hardware components provide guarantees that satisfy the assumptions they make about each other. CHIC supports a variety of interface property specification formalisms.


Smatch!!!


Smatch is C source checker but mainly focused checking the Linux kernel code. It is based on the papers about the Stanford Checker.

Basically, Smatch uses a modified gcc to generate .c.sm files. The .c.sm files are piped through individual Smatch scripts that print out error messages.

For example, someone might want to write a Smatch script that looked for code that called copy_to_user() while the kernel was locked. If the script saw a place that called lock_kernel() then it would record the state as locked. If the script saw a place that called unlock_kernel() it would set the state to unlocked. If the state was locked and the script saw a place that called copy_to_user() the script would print out an error message.


Sparse


Sparse, the semantic parser, provides a compiler frontend capable of parsing most of ANSI C as well as many GCC extensions, and a collection of sample compiler backends, including a static analyzer also called “sparse”. Sparse provides a set of annotations designed to convey semantic information about types, such as what address space pointers point to, or what locks a function acquires or releases.

Stance


Features:

  • Error-finding tool based on static analysis.
  • Target language is C (ANSI C99), but extensible to C#/C++/Java.
  • Full ANSI C99 support, including most GNU C extensions.
  • Modular structure, easy extensibility, fast development.
  • Easy to use interface and error path inspection.
  • Makefile support and batch execution.

Errors detected:

  • Memory allocation errors (null pointers, memory leaks, dangling pointers)
  • Bad locking discipline (double locks/unlocks, locks not released etc.)
  • Interrupt handling (cli/sti-style).
  • And all the errors which can be described by state automata.

Focal


Focal (formerly known as FoC) is a language for software-proof codesign. In Focal, code, specifications, and proofs are developped together in the same source files, using a novel object-oriented module system. The compiler analyses the dependencies in order to ensure the consistency of the source, then translates the code to Objective Caml, and the proofs to Coq.

[[fo_ca_lize|FoCaLize]]


The FoCaLizedevelopment effort started in 2006: it was clearly a continuation of the Focand Focal efforts. The new system was rewritten from scratch. A new language and syntax was designed and carefully implemented, with in mind ease of use, expressivity, and programmer friendyness. The addition of powerful data structure definitions together with the corresponding pattern matching facility, lead to new expressing power.

The Zenon automatic theorem prover was also integrated in the compiler and natively interfaced within the FoCaLizelanguage. New developments for recursive functions support is on the way (in particular for termination proofs).

A formal specification can be built by declaring names of functions and values and introducing properties. Then, design and implementation can incrementally be done by adding definitions of functions and proving that the implementation meets the specification or design requirements. Thus, developing in FoCaLizeis a kind of refinement process from formal model to design and code, completely done within FoCaLize. Taking the global development in consideration within the same environment brings some conciseness, helps documentation and reviewing. Thus a FoCaLizedevelopment is organised as a hierarchy that may have several roots. The upper levels of the hierarchy are built along the specification stage while the lower ones correspond to implementation and each node of the hierarchy corresponds to a progress toward a complete implementation.

The FoCaLizesystem provides means for the developers to formally express their specifications and to go step by step (in an incremental approach) to design and implementation while proving that such an implementation meets its specification or design requirements. The FoCaLizelanguage offers high level mechanisms such as inheritance, late binding, redefinition, parametrization, etc. Confidence in proofs submitted by developers or automatically done relies on formal proof verification. FoCaLizealso provides some automation of documentation production and management.


Tools to make formal models


Alloy


The Alloy Analyzer is a tool developed by the Software Design Group for analyzing models written in Alloy, a simple structural modeling language based on first-order logic. The tool can generate instances of invariants, simulate the execution of operations (even those defined implicitly), and check user-specified properties of a model. Alloy and its analyzer have been used primarily to explore abstract software designs. Its use in analyzing code for conformance to a specification and as an automatic test case generator are being investigated in ongoing research projects.

mCRL2


mCRL2 is a formal specification language with an associated toolset. The toolset can be used for modelling, validation and verification of concurrent systems and protocols.

The toolset supports a collection of tools for linearisation, simulation, state-space exploration and generation and tools to optimise and analyse specifications. Moreover, state spaces can be manipulated, visualised and analysed.

TLA+ Proof System


The TLA+ Proof System (TLAPS) is a platform for computerized verification of TLA+ proofs using formal reasoning systems such as automated theorem provers, proof-assistants, SMT/SAT solvers, and decision procedures. TLA+ is a specification language designed for concurrent, distributed, reactive and real-time systems, but it can also be used to formalize any discrete algorithm. The TLA+ proof language is declarative, hierarchical, and scalable to large system specifications. It provides a consistent abstraction over the various “backend” verifiers. The current release of TLAPS handles just enough temporal reasoning to check safety properties; an extension to the full TLA+ language is under active development.

Conclusion


It remains to test all those programs. A hard task that is not yet done.

 
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