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Automatic and efficient verification of multiplier designs, especially through a provably correct method, is a difficult problem. We show how to utilize a theorem prover, ACL2, to implement an efficient rewriting algorithm for multiplier…

Logic in Computer Science · Computer Science 2022-05-25 Mertcan Temel

Interactive program verification is characterized by iterations of unfinished proof attempts. To support the process of constructing a complete proof, many interactive program verification systems offer a proof scripting language as a…

Logic in Computer Science · Computer Science 2018-04-13 Bernhard Beckert , Sarah Grebing , and Alexander Weigl

This paper is a tutorial for newcomers to the field of automated verification tools, though we assume the reader to be relatively familiar with Hoare-style verification. In this paper, besides introducing the most basic features of the…

Software Engineering · Computer Science 2017-01-18 Paqui Lucio

This work discusses an approach to teach to mathematicians the importance and effectiveness of the application of Interactive Theorem Proving tools in their specific fields of interest. The approach aims to motivate the use of such tools…

Logic in Computer Science · Computer Science 2020-11-02 Mauricio Ayala-Rincón , Thaynara Arielly de Lima

The logic embedding tool provides a procedural encoding for non-classical reasoning problems into classical higher-order logic. It is extensible and can support an increasing number of different non-classical logics as reasoning targets.…

Artificial Intelligence · Computer Science 2022-03-24 Alexander Steen

We discuss the workflows supported by the TLA+ Toolbox to write and verify specifications. We focus on features that are useful in industry because its users are primarily engineers. Two features are novel in the scope of formal IDEs:…

Software Engineering · Computer Science 2019-12-24 Markus Alexander Kuppe , Leslie Lamport , Daniel Ricketts

In the past years, analyzers have been introduced to detect classes of non-terminating queries for definite logic programs. Although these non-termination analyzers have shown to be rather precise, their applicability on real-life Prolog…

Programming Languages · Computer Science 2011-09-16 Dean Voets , Danny De Schreye

As transformers have gained prominence in natural language processing, some researchers have investigated theoretically what problems they can and cannot solve, by treating problems as formal languages. Exploring such questions can help…

Machine Learning · Computer Science 2024-09-05 Lena Strobl , William Merrill , Gail Weiss , David Chiang , Dana Angluin

Students of our department solve algebraic exercises in mathematical logic in a computerized environment. They construct transformations step by step and the program checks the syntax, equivalence of expressions and completion of the task.…

Symbolic Computation · Computer Science 2013-07-01 Rein Prank

While the use of formal verification techniques is well established in the development of mission-critical software, it is still rare in the production of most other kinds of software. We share our experience that a formal verification tool…

Programming Languages · Computer Science 2020-07-03 Dimitur Nikolaev Krustev

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

This paper presents the Soda language for verifying multi-agent systems. Soda is a high-level functional and object-oriented language that supports the compilation of its code not only to Scala, a strongly statically typed high-level…

Programming Languages · Computer Science 2025-03-11 Julian Alfredo Mendez , Timotheus Kampik

The paradigm of Tabled Logic Programming (TLP) is now supported by a number of Prolog systems, including XSB, YAP Prolog, B-Prolog, Mercury, ALS, and Ciao. The reasons for this are partly theoretical: tabling ensures termination and optimal…

Programming Languages · Computer Science 2010-12-24 Terrance Swift , David S. Warren

With the widespread consumption of AI-generated content, there has been an increased focus on developing automated tools to verify the factual accuracy of such content. However, prior research and tools developed for fact verification treat…

Computation and Language · Computer Science 2025-03-20 Varich Boonsanong , Vidhisha Balachandran , Xiaochuang Han , Shangbin Feng , Lucy Lu Wang , Yulia Tsvetkov

Foundational verification allows programmers to build software which has been empirically shown to have high levels of assurance in a variety of important domains. However, the cost of producing foundationally verified software remains…

Programming Languages · Computer Science 2020-06-01 Alex Sanchez-Stern , Yousef Alhessi , Lawrence Saul , Sorin Lerner

This paper introduces ProofCloud, a proof retrieval engine for verified proofs in higher order logic. It provides a fast proof searching service for mathematicians and computer scientists for the reuse of proofs and proof packages. In…

Logic in Computer Science · Computer Science 2024-12-31 Shuai Wang

A Prolog-based framework for fully automated verification currently under development for heap-based object-oriented data is introduced. Dynamically allocated issues are discussed, recent approaches and criteria are analysed. The…

Logic in Computer Science · Computer Science 2019-06-10 René Haberland , Sergey Ivanovskiy

Modern program verifiers use logic-based encodings of the verification problem that are discharged by a back end reasoning engine. However, instances of such encodings for large programs can quickly overwhelm these back end solvers. Hence,…

Logic in Computer Science · Computer Science 2016-07-18 Peter Schrammel

Verification of microkernels, device drivers, and crypto routines requires analyses at the binary level. In order to automate these analyses, in the last years several binary analysis platforms have been introduced. These platforms share a…

Programming Languages · Computer Science 2019-01-23 Andreas Lindner , Roberto Guanciale , Roberto Metere

There has recently been an increasing interest in declarative data analysis, where analytic tasks are specified using a logical language, and their implementation and optimisation are delegated to a general-purpose query engine. Existing…

Artificial Intelligence · Computer Science 2018-04-26 Mark Kaminski , Bernardo Cuenca Grau , Egor V. Kostylev , Boris Motik , Ian Horrocks