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We consider forkable regular expressions, which enrich regular expressions with a fork operator, to establish a formal basis for static and dynamic analysis of the communication behavior of concurrent programs. We define a novel…

Formal Languages and Automata Theory · Computer Science 2015-12-09 Martin Sulzmann , Peter Thiemann

Runtime efficiency and termination are crucial properties in the studies of program verification. Instead of dealing with these issues in an ad hoc manner, it would be useful to develop a robust framework in which such properties are…

Programming Languages · Computer Science 2026-04-06 Weijun Chen , Yuxi Fu , Huan Long

This position paper provides a critical but constructive discussion of current practices in benchmarking and evaluative practices in the field of formal reasoning and automated theorem proving. We take the position that open code, open…

Artificial Intelligence · Computer Science 2025-07-08 Roozbeh Yousefzadeh , Xuenan Cao

The goal of this lecture is to show how modern theorem provers---in this case, the Coq proof assistant---can be used to mechanize the specification of programming languages and their semantics, and to reason over individual programs and…

Programming Languages · Computer Science 2010-10-28 Xavier Leroy

We propose a simple, yet expressive proof representation from which proofs for different proof assistants can easily be generated. The representation uses only a few inference rules and is based on a frag- ment of first-order logic called…

Logic in Computer Science · Computer Science 2014-05-15 Sana Stojanovic , Julien Narboux , Marc Bezem , Predrag Janicic

Programming language frameworks allow us to generate language tools (e.g., interpreters) just from a formal description of the syntax and semantics of a programming language. As these frameworks tend to be quite complex, an issue arises…

Programming Languages · Computer Science 2024-09-19 Jan Tušil , Jan Obdržálek

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

In recent years, a number of lightweight programs have been deployed in critical domains, such as in smart contracts based on blockchain technology. Therefore, the security and reliability of such programs should be guaranteed by the most…

Programming Languages · Computer Science 2018-03-28 Zheng Yang , Hang Lei

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

The ever-growing complexity of mathematical proofs makes their manual verification by mathematicians very cognitively demanding. Autoformalization seeks to address this by translating proofs written in natural language into a formal…

Computation and Language · Computer Science 2023-01-06 Garett Cunningham , Razvan C. Bunescu , David Juedes

This paper summarizes our experience in communicating the elements of reasoning about correctness, and the central role of formal specifications in reasoning about modular, component-based software using a language and an integrated Web IDE…

Software Engineering · Computer Science 2015-08-20 Nabil M. Kabbani , Daniel Welch , Caleb Priester , Stephen Schaub , Blair Durkee , Yu-Shan Sun , Murali Sitaraman

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

Proof assistants are software-based tools that are used in the mechanization of proof construction and validation in mathematics and computer science, and also in certified program development. Different tools are being increasingly used in…

Formal Languages and Automata Theory · Computer Science 2015-05-04 Marcus Vinícius Midena Ramos , Ruy J. G. B. de Queiroz

We develop faultless, fixed-depth, string-based, prefix and postfix symbolic regression grammars, capable of producing \emph{any} expression from a set of operands, unary operators and/or binary operators. Using these grammars, we outline…

Symbolic Computation · Computer Science 2024-10-11 Edward Finkelstein

We propose a simple imperative programming language, ERC, that features arbitrary real numbers as primitive data type, exactly. Equipped with a denotational semantics, ERC provides a formal programming language-theoretic foundation to the…

Widely used complex code refactoring tools lack a solid reasoning about the correctness of the transformations they implement, whilst interest in proven correct refactoring is ever increasing as only formal verification can provide true…

Software Engineering · Computer Science 2017-08-25 Dániel Horpácsi , Judit Kőszegi , Zoltán Horváth

We design a family of program analyses for JavaScript that make no approximation in matching calls with returns, exceptions with handlers, and breaks with labels. We do so by starting from an established reduction semantics for JavaScript…

Programming Languages · Computer Science 2011-12-21 David Van Horn , Matthew Might

Top-down parsing has received much attention recently. Parsing expression grammars (PEG) allows construction of linear time parsers using packrat algorithm. These techniques however suffer from problem of prefix hiding. We use alternative…

Formal Languages and Automata Theory · Computer Science 2012-05-10 Ondřej Bílka

This paper focuses on formally specifying and verifying the chain of formal semantics of the Esterel synchronous programming language using the Coq proof assistant. In particular, in addition to the standard logical (LBS) semantics,…

Formal Languages and Automata Theory · Computer Science 2025-01-08 Gérard Berry , Lionel Rieg

Over the past two decades, the Web Ontology Language (OWL) has been instrumental in advancing the development of ontologies and knowledge graphs, providing a structured framework that enhances the semantic integration of data. However, the…

Logic in Computer Science · Computer Science 2024-12-13 Atalay Mert Ileri , Nalen Rangarajan , Jack Cannell , Hande McGinty