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We report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is…

Logic in Computer Science · Computer Science 2013-06-25 Nikolaj Bjorner , Ken McMillan , Andrey Rybalchenko

We propose an operationally-based deductive proof method for program equivalence. It is based on encoding the language semantics as logically constrained term rewriting systems (LCTRSs) and the two programs as terms. The main feature of our…

Logic in Computer Science · Computer Science 2020-01-28 Ştefan Ciobâcă , Dorel Lucanu , Andrei Sebastian Buruiană

2LS ("tools") is a verification tool for C programs, built upon the CPROVER framework. It allows one to verify user-specified assertions, memory safety properties (e.g. buffer overflows), numerical overflows, division by zero, memory leaks,…

Software Engineering · Computer Science 2023-02-07 Daniel Kroening , Viktor Malík , Peter Schrammel , Tomáš Vojnar

We present a novel and well automatable approach to formal verification of programs with underspecified semantics, i.e., a language semantics that leaves open the order of certain evaluations. First, we reduce this problem to…

Programming Languages · Computer Science 2022-02-14 Eduard Kamburjan , Nathan Wasser

Context. Variability-intensive programs (program families) appear in many application areas and for many reasons today. Different family members, called variants, are derived by switching statically configurable options (features) on and…

Programming Languages · Computer Science 2017-02-01 Alexandru Florin Iosif-Lazar , Jean Melo , Aleksandar S. Dimovski , Claus Brabrand , Andrzej Wasowski

Program reductions are used widely to simplify reasoning about the correctness of concurrent and distributed programs. In this paper, we propose a general approach to proof simplification of concurrent programs based on exploring generic…

Programming Languages · Computer Science 2019-11-01 Azadeh Farzan , Anthony Vandikas

We show that verification of object-oriented programs by means of the assertional method can be achieved in a simple way by exploiting a syntax-directed transformation from object-oriented programs to recursive programs. This transformation…

Logic in Computer Science · Computer Science 2011-11-09 Krzysztof R. Apt , Frank S. de Boer , Ernst-Ruediger Olderog , Stijn de Gouw

We prove several decidability and undecidability results for the satisfiability and validity problems for languages that can express solutions to word equations with length constraints. The atomic formulas over this language are equality…

Logic in Computer Science · Computer Science 2013-06-26 Vijay Ganesh , Mia Minnes , Armando Solar-Lezama , Martin Rinard

In the paper the problem of verification of functional programs (FPs) over strings is considered, where specifications of properties of FPs are defined by other FPs, and a FP S1 meets a specification defined by another FP S2 iff a…

Logic in Computer Science · Computer Science 2016-04-15 Andrew M. Mironov

We address the problem of verifying automatically procedural programs manipulating parametric-size arrays of integers, encoded as a constrained Horn clauses solving problem. We propose a new algorithmic method for synthesizing loop…

Programming Languages · Computer Science 2025-05-23 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

SMT-based program analysis and verification often involve reasoning about program features that have been specified using quantifiers; incorporating quantifiers into SMT-based reasoning is, however, known to be challenging. If quantifier…

Logic in Computer Science · Computer Science 2024-04-30 Rui Ge , Ronald Garcia , Alexander J. Summers

Automatic verification of concurrent programs faces state explosion due to the exponential possible interleavings of its sequential components coupled with large or infinite state spaces. An alternative is deductive verification, where…

Programming Languages · Computer Science 2024-01-01 Yuan Xia , Jyotirmoy V. Deshmukh , Mukund Raghothaman , Srivatsan Ravi

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Formally verifying properties of programs that manipulate arrays in loops is computationally challenging. In this paper, we focus on a useful class of such programs, and present a novel property-driven verification method that first infers…

Software Engineering · Computer Science 2017-10-05 Supratik Chakraborty , Ashutosh Gupta , Divyesh Unadkat

We study the uniform verification problem for infinite state processes, which consists of proving that the parallel composition of an arbitrary number of processes satisfies a temporal property. Our practical motivation is to build a…

Logic in Computer Science · Computer Science 2014-01-10 Alejandro Sánchez , César Sánchez

In this article we present a tool for the verification of programs built on top replicated databases. The tool evaluates a sequential specification and deduces which operations need to be synchronized for the program to function properly in…

Programming Languages · Computer Science 2019-09-10 Filipe Meirim , Mário Pereira , Carla Ferreira

In theorem prover or SMT solver based verification, the program to be verified is often given in an intermediate verification language such as Boogie, Why, or CHC. This setting raises new challenges. We investigate a preprocessing step…

Software Engineering · Computer Science 2019-01-08 Daniel Dietsch , Matthias Heizmann , Jochen Hoenicke , Alexander Nutz , Andreas Podelski

Mutation testing is an approach to check the robustness of test suites. The program code is slightly changed by mutations to inject errors. A test suite is robust enough if it finds such errors. Tools for mutation testing usually integrate…

Software Engineering · Computer Science 2024-04-23 Christoph Bockisch , Gabriele Taentzer , Daniel Neufeld

We identify a decidable synthesis problem for a class of programs of unbounded size with conditionals and iteration that work over infinite data domains. The programs in our class use uninterpreted functions and relations, and abide by a…

Programming Languages · Computer Science 2020-07-24 Paul Krogmeier , Umang Mathur , Adithya Murali , P. Madhusudan , Mahesh Viswanathan

Both automatic program verification and program transformation are based on program analysis. In the past decade a number of approaches using various automatic general-purpose program transformation techniques (partial deduction,…

Software Engineering · Computer Science 2015-12-15 Alexei P. Lisitsa , Andrei P. Nemytykh