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This paper is an example-based demonstration of our initial results on the formal specification of programs written in the computer algebra language MiniMaple (a substantial subset of Maple with slight extensions). The main goal of this…

Mathematical Software · Computer Science 2012-07-11 Muhammad Taimoor Khan , Wolfgang Schreiner

MiniJava is a subset of the object-oriented programming language Java. Standard ML is the canonical representative of the ML family of functional programming languages, which includes F# and OCaml. Different program analysis and…

Programming Languages · Computer Science 2021-01-01 Martin Mariusz Lester

In this paper, we study the problem of formal verification for Answer Set Programming (ASP), namely, obtaining a formal proof showing that the answer sets of a given (non-ground) logic program P correctly correspond to the solutions to the…

Logic in Computer Science · Computer Science 2020-09-23 Pedro Cabalar , Jorge Fandinno , Yuliya Lierler

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2022-05-17 Colin S. Gordon , Sergey Matskevich

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

Many universities have courses and projects revolving around compiler or interpreter implementation as part of their degree programmes in computer science. In such teaching activities, tool support can be highly beneficial. While there are…

Programming Languages · Computer Science 2022-09-21 Georgian-Vlad Saioc , Hans Hüttel

This study presents a systematic approach to specifying data objects with the help of initial algebras. The primary aim is to describe the set-up to be found in modern functional programming languages such as Haskell and ML, although it can…

Logic in Computer Science · Computer Science 2009-09-22 Chris Preston

Testing has become an indispensable activity of software development, yet writing good and relevant tests remains a quite challenging task. One well-known problem is that it often is impossible or unrealistic to test for every outcome, as…

Programming Languages · Computer Science 2017-08-18 Dimitri Racordon , Didier Buchs

This paper presents a formal approach to specify and verify object-oriented programs written in the `programming to interfaces' paradigm. Besides the methods to be invoked by its clients, an interface also declares a set of abstract…

Logic in Computer Science · Computer Science 2013-12-02 Jianhua Zhao , Xuandong LI

This paper explores how natural-language descriptions of formal languages can be compared to their formal representations and how semantic differences can be explained. This is motivated from educational scenarios where learners describe a…

Formal Languages and Automata Theory · Computer Science 2026-02-24 Tristan Kneisel , Marko Schmellenkamp , Fabian Vehlken , Thomas Zeume

The problem of mechanically formalizing and proving metatheoretic properties of programming language calculi, type systems, operational semantics, and related formal systems has received considerable attention recently. However, the dual…

Programming Languages · Computer Science 2017-05-29 James Cheney , Alberto Momigliano

This document describes our freely distributed Maple library {\sc spectra}, for Semidefinite Programming solved Exactly with Computational Tools of Real Algebra. It solves linear matrix inequalities with symbolic computation in exact…

Optimization and Control · Mathematics 2020-02-12 Mohab Safey El Din , Didier Henrion , Simone Naldi , Mohab Safey , El Din

Formal software specification is known to enable early error detection and explicit invariants, yet it has seen limited industrial adoption due to its high notation overhead and the expertise required to use traditional formal languages.…

Software Engineering · Computer Science 2026-01-16 Antonio Abu Nassar , Eitan Farchi

A common requirement in policy specification languages is the ability to map policies to the underlying network devices. Doing so, in a provably correct way, is important in a security policy context, so administrators can be confident of…

Cryptography and Security · Computer Science 2016-05-31 Dinesha Ranathunga , Matthew Roughan , Phil Kernick , Nick Falkner

Verification-aware programming languages such as Dafny and F* provide means to formally specify and prove properties of a program. Although the problem of checking an implementation against a specification can be defined mechanically, there…

Programming Languages · Computer Science 2024-10-17 Shuvendu K. Lahiri

The software patterns provide building blocks to the design and implementation of a software system, and try to make the software engineering to progress from experience to science. The software patterns were made famous because of the…

Logic in Computer Science · Computer Science 2021-10-26 Yong Wang

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

Virtually all verification techniques using formal methods rely on the availability of a formal specification, which describes the design requirements precisely. However, formulating specifications remains a manual task that is notoriously…

Formal Languages and Automata Theory · Computer Science 2025-01-28 Daniel Neider , Rajarshi Roy

The context of this work is the design of a software, called MEMSALab, dedicated to the automatic derivation of multiscale models of arrays of micro- and nanosystems. In this domain a model is a partial differential equation. Multiscale…

Symbolic Computation · Computer Science 2015-03-17 Walid Belkhir , Alain Giorgetti , Michel Lenczner

Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer
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