Automated Approaches for Program Verification and Repair

Formal methods techniques, such as verification, analysis, and synthesis,allow programmers to prove properties of their programs, or automatically derive programs from specifications. Making such techniques usable requires care: they must provide useful debugging information, be scalable, and enable automation. This dissertation presents automated analysis and synthesis techniques to ease the debugging of modular verification systems and allow easy access to constraint solvers from functional code. Further, it introduces machine learning based techniques to improve the scalability of off-the-shelf syntax-guided synthesis solvers and techniques to reduce the burden of network administrators writing and analyzing firewalls. We describe the design and implementationof a symbolic execution engine, G2, for non-strict functional languages such as Haskell. We extend G2 to both debug and automate the process of modular verification, and give Haskell programmers easy access to constraints solvers via a library named G2Q. Modular verifiers, such as LiquidHaskell, Dafny, and ESC/Java,allow programmers to write and prove specifications of their code. When a modular verifier fails to verify a program, it is not necessarily because of an actual bug in the program. This is because when verifying a function f, modular verifiers consider only the specification of a called function g, not the actual definition of g. Thus, a modular verifier may fail to prove a true specification of f if the specification of g is too weak. We present a technique, counterfactual symbolic execution, to aid in the debugging of modular verification failures. The approach uses symbolic execution to find concrete counterexamples, in the case of an actual inconsistency between a program and a specification; and abstract counterexamples, in the case that a function specification is too weak. Further, a counterexample-guided inductive synthesis (CEGIS) loop based technique is introduced to fully automate the process of modular verification, by using found counterexamples to automatically infer needed function specifications. The counterfactual symbolic execution and automated specification inference techniques are implemented in G2, and evaluated on existing LiquidHaskell errors and programs. We also leveraged G2 to build a library, G2Q, which allows writing constraint solving problemsdirectly as Haskell code. Users of G2Q can embed specially marked Haskell constraints (Boolean expressions) into their normal Haskell code, while marking some of the variables in the constraint as symbolic. Then, at runtime, G2Q automatically derives values for the symbolic variables that satisfy the constraint, and returns those values to the outside code. Unlike other constraint solving solutions, such as directly calling an SMT solver, G2Q uses symbolic execution to unroll recursive function definitions, and guarantees that the use of G2Q constraints will preserve type correctness. We further consider the problem of synthesizing functions viaa class of tools known as syntax-guided synthesis (SyGuS) solvers. We introduce a machine learning based technique to preprocess SyGuS problems, and reduce the space that the solver must search for a solution in. We demonstrate that the technique speeds up an existing SyGuS solver, CVC4, on a set of SyGuS solver benchmarks. Finally, we describe techniques to ease analysis and repair of firewalls.Firewalls are widely deployed to manage network security. However, firewall systems provide only a primitive interface, in which the specification is given as an ordered list of rules. This makes it hard to manually track and maintain the behavior of a firewall. We introduce a formal semantics for iptables firewall rules via a translation to first-order logic with uninterpreted functions and linear integer arithmetic, which allows encoding of firewalls into a decidable logic. We then describe techniques to automate the analysis and repair of firewalls using SMT solvers, based on user provided specifications of the desired behavior. We evaluate this approach with real world case studies collected from StackOverflow users

Computer Aided Verification

This open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

Computer Aided Verification

The open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

Computer Aided Verification

This open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

Tools and Algorithms for the Construction and Analysis of Systems

This open access book constitutes the proceedings of the 28th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2022, which was held during April 2-7, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 46 full papers and 4 short papers presented in this volume were carefully reviewed and selected from 159 submissions. The proceedings also contain 16 tool papers of the affiliated competition SV-Comp and 1 paper consisting of the competition report. TACAS is a forum for researchers, developers, and users interested in rigorously based tools and algorithms for the construction and analysis of systems. The conference aims to bridge the gaps between different communities with this common interest and to support them in their quest to improve the utility, reliability, exibility, and efficiency of tools and algorithms for building computer-controlled systems

Computer Aided Verification

The open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

Tools and Algorithms for the Construction and Analysis of Systems

This open access book constitutes the proceedings of the 28th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2022, which was held during April 2-7, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 46 full papers and 4 short papers presented in this volume were carefully reviewed and selected from 159 submissions. The proceedings also contain 16 tool papers of the affiliated competition SV-Comp and 1 paper consisting of the competition report. TACAS is a forum for researchers, developers, and users interested in rigorously based tools and algorithms for the construction and analysis of systems. The conference aims to bridge the gaps between different communities with this common interest and to support them in their quest to improve the utility, reliability, exibility, and efficiency of tools and algorithms for building computer-controlled systems

A type-theoretic framework for software component synthesis

A language-agnostic approach for type-based component-oriented software synthesis is developed from the fundamental principles of abstract algebra and Combinatory Logic. It relies on an enumerative type inhabitation algorithm for Finite Combinatory Logic with Intersection Types (FCL) and a universal algebraic construction to translate terms of Combinatory Logic into any given target language. New insights are gained on the combination of semantic domains of discourse with intersection types. Long standing gaps in the algorithmic understanding of the type inhabitation question of FCL are closed. A practical implementation is developed and its applications by the author and other researchers are discussed. They include, but are not limited to, vast improvements in the context of synthesis of software product line members. An interactive theorem prover, Coq, is used to formalize and check all the theoretical results. This makes them more reusable for other developments and enhances confidence in their correctness.Es wird ein sprachunabhängiger Ansatz für die typbasierte und komponentenorientierte Synthese von Software entwickelt. Hierzu werden grundlegende Erkenntnisse über abstrakte Algebra und kombinatorische Logik verwendet. Der Ansatz beruht auf dem enumerativen Typinhabitationsproblem der endlichen kombinatorischen Logik mit Intersektionstypen, sowie einer universellen algebraischen Konstruktion, um Ergebnisterme in jede beliebe Zielsprache übersetzen zu können. Es werden neue Einblicke gewonnen, wie verschiedene semantische Domänen des Diskurses über Softwareeigenschaften miteinander verbunden werden können. Offene Fragestellungen im Zusammenhand mit der Algorithmik des Typinhabitationsproblems für Intersektionstypen werden beantwortet. Eine praktische Implementierung des Ansatzes wird entwickelt und ihre bisherigen Anwendungen durch den Autor und andere Wissenschaftler werden diskutiert. Diese beinhalten starke Verbesserungen im Zusammenhang mit der Synthese von Ausprägungen von Software Produktlinien. Ein interaktiver Theorembeweiser wir genutzt, um alle Ergebnisse der Arbeit zu formalisieren und mechanisch zu überprüfen. Dies trägt zum einen zur Wiederverwendbarkeit der theoretischen Ergebnisse in anderen Kontexten bei, und erhöht zum andern das Vertrauen in ihre Korrektheit