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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

This paper proposes an alternative to standard first-order logic that seeks greater naturalness, generality, and semantic self-containment. The system removes the first-order restriction, avoids type hierarchies, and dispenses with external…

Logic · Mathematics 2025-08-12 Mauro Avon

Aliasing is a known source of challenges in the context of imperative object-oriented languages, which have led to important advances in type systems for aliasing control. However, their large-scale adoption has turned out to be a…

Programming Languages · Computer Science 2016-07-26 Philipp Haller , Alexandre Loiko

Cryptographic protocols are often implemented at upper layers of communication networks, while error-correcting codes are employed at the physical layer. In this paper, we consider utilizing readily-available physical layer functions, such…

Information Theory · Computer Science 2021-01-26 Nasser Aldaghri , Hessam Mahdavifar

Refinement types enable lightweight verification of functional programs. Algorithms for statically inferring refinement types typically work by reduction to solving systems of constrained Horn clauses extracted from typing derivations. An…

Programming Languages · Computer Science 2020-11-11 Zvonimir Pavlinovic , Yusen Su , Thomas Wies

We give a presentation of Pure type systems where contexts need not be well-formed and show that this presentation is equivalent to the usual one. The main motivation for this presentation is that, when we extend Pure type systems with…

Logic in Computer Science · Computer Science 2021-07-19 Gilles Dowek

We provide a treatment of isomorphism within a set-theoretic formulation of dependent type theory. Type expressions are assigned their natural set-theoretic compositional meaning. Types are divided into small and large types --- sets and…

Logic in Computer Science · Computer Science 2018-01-23 David McAllester

In this paper we present our experience in developing a security application using a typed functional language. We describe how the formal grounding of its semantic and compiler have allowed for a trustworthy development and have…

Software Engineering · Computer Science 2014-04-29 Damien Doligez , Christèle Faure , Thérèse Hardin , Manuel Maarek

We present {\lambda}ert, a type theory supporting refinement types with explicit proofs. Instead of solving refinement constraints with an SMT solver like DML and Liquid Haskell, our system requires and permits programmers to embed proofs…

Programming Languages · Computer Science 2023-11-27 Jad Elkhaleq Ghalayini , Neel Krishnaswami

We demonstrate, by a number of examples, that information-flow security properties can be proved from abstract architectural descriptions, that describe only the causal structure of a system and local properties of trusted components. We…

Cryptography and Security · Computer Science 2016-01-05 Stephen Chong , Ron van der Meyden

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

Generalized planning studies the computation of general solutions for a set of planning problems. Computing general solutions with correctness guarantee has long been a key issue in generalized planning. Abstractions are widely used to…

Artificial Intelligence · Computer Science 2022-05-25 Zhenhe Cui , Weidu Kuang , Yongmei Liu

Dependent types help programmers write highly reliable code. However, this reliability comes at a cost: it can be challenging to write new prototypes in (or migrate old code to) dependently-typed programming languages. Gradual typing makes…

Programming Languages · Computer Science 2019-08-23 Joseph Eremondi , Éric Tanter , Ronald Garcia

This paper proposes a generic approach for providing enhanced security to communication systems which encode their data for reliability before encrypting it through a stream cipher for security. We call this counter-intuitive technique the…

Cryptography and Security · Computer Science 2010-08-06 Frederique Oggier , Miodrag J. Mihaljevic

Type systems designed for information-flow control commonly use a program-counter label to track the sensitivity of the context and rule out data leakage arising from effectful computation in a sensitive context. Currently, type-system…

Programming Languages · Computer Science 2021-01-14 Andrew K. Hirsch , Ethan Cecchetti

This report presents a taxonomy of vulnerabilities created as a part of an effort to develop a framework for deriving verification and validation strategies to assess software security. This taxonomy is grounded in a theoretical model of…

Cryptography and Security · Computer Science 2007-05-23 Anil Bazaz , James D. Arthur

Secure compilation prevents all low-level attacks on compiled code and allows for sound reasoning about security in the source language. In this work we propose a new attacker model for secure compilation that extends the well-known notion…

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

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

Type systems hide data that is captured by function closures in function types. In most cases this is a beneficial design that favors simplicity and compositionality. However, some applications require explicit information about the data…

Programming Languages · Computer Science 2013-12-03 Gabriel Scherer , Jan Hoffmann
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