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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

A resource leak occurs when a program fails to free some finite resource after it is no longer needed. Such leaks are a significant cause of real-world crashes and performance problems. Recent work proposed an approach to prevent resource…

Software Engineering · Computer Science 2023-09-25 Narges Shadab , Pritam Gharat , Shrey Tiwari , Michael D. Ernst , Martin Kellogg , Shuvendu Lahiri , Akash Lal , Manu Sridharan

Concurrent accesses to databases are typically encapsulated in transactions in order to enable isolation from other concurrent computations and resilience to failures. Modern databases provide transactions with various semantics…

Programming Languages · Computer Science 2021-01-25 Sidi Mohamed Beillahi , Ahmed Bouajjani , Constantin Enea

We propose a novel type system for verifying that programs correctly implement constant-resource behavior. Our type system extends recent work on automatic amortized resource analysis (AARA), a set of techniques that automatically derive…

Programming Languages · Computer Science 2018-01-09 Van Chan Ngo , Mario Dehesa-Azuara , Matthew Fredrikson , Jan Hoffmann

The compactness lemma in programming language theory states that any recursive function can be simulated by a finite unrolling of the function. One important use case it has is in the logical relations proof technique for proving properties…

Programming Languages · Computer Science 2024-05-06 Matias Scharager

Several interesting models for contingency tables are defined by a system of equality and inequality constraints on a suitable set of marginal log-linear parameters. After reviewing the most common difficulties which are intrinsic to order…

Statistics Theory · Mathematics 2014-01-09 Roberto Colombi , Antonio Forcina

Graded type systems, such as the one underlying the Granule programming language, allow various different properties of a program's behaviour to be tracked via annotating types with additional information, which we call grades. One example…

Programming Languages · Computer Science 2024-10-23 Danielle Marshall , Dominic Orchard

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 2023-10-09 Colin S. Gordon , Sergey Matskevich

A hypothesis testing algorithm is replicable if, when run on two different samples from the same distribution, it produces the same output with high probability. This notion, defined by by Impagliazzo, Lei, Pitassi, and Sorell [STOC'22],…

Data Structures and Algorithms · Computer Science 2025-09-05 Anders Aamand , Maryam Aliakbarpour , Justin Y. Chen , Shyam Narayanan , Sandeep Silwal

This paper discusses a method for implementing a probabilistic inference system based on an extended relational data model. This model provides a unified approach for a variety of applications such as dynamic programming, solving sparse…

Artificial Intelligence · Computer Science 2013-02-21 Michael S. K. M. Wong , C. J. Butz , Yang Xiang

Software reliability is a primary concern in the construction of software, and thus a fundamental component in the definition of software quality. Analyzing software reliability requires a specification of the intended behavior of the…

Software Engineering · Computer Science 2021-03-02 Facundo Molina , Pablo Ponzio , Nazareno Aguirre , Marcelo Frias

TLAPS, the TLA+ proof system, is a platform for the development and mechanical verification of TLA+ proofs written in a declarative style requiring little background beyond elementary mathematics. The language supports hierarchical and…

Logic in Computer Science · Computer Science 2010-11-12 Kaustuv Chaudhuri , Damien Doligez , Leslie Lamport , Stephan Merz

Computation Tree Logic (CTL) and its extensions CTL* and CTL+ are widely used in automated verification as a basis for common model checking tools. But while they can express many properties of interest like reachability, even simple…

Logic in Computer Science · Computer Science 2019-10-28 Jens Oliver Gutsfeld , Markus Müller-Olm , Christian Dielitz

We present a new approach to the global fairness verification of tree-based classifiers. Given a tree-based classifier and a set of sensitive features potentially leading to discrimination, our analysis synthesizes sufficient conditions for…

Machine Learning · Computer Science 2022-09-28 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Federico Marcuzzi

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

Relational databases play a central role in many information systems. Their schema contains structural (e.g. tables and columns) and behavioral (e.g. stored procedures or views) entity descriptions. Then, just like for ``normal'' software,…

Software Engineering · Computer Science 2024-04-15 Anne Etien , Nicolas Anquetil

Software verification is a complex problem, and verification tools need significant tuning to achieve high performance. Due to this, many verifiers choose to specialize on reachability properties, or invest the time to implement known…

Programming Languages · Computer Science 2025-01-28 Dirk Beyer , Marek Jankola , Marian Lingsch-Rosenfeld , Tian Xia , Xiyue Zheng

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

Machine-learning models are becoming increasingly prevalent in our lives, for instance assisting in image-classification or decision-making tasks. Consequently, the reliability of these models is of critical importance and has resulted in…

Machine Learning · Computer Science 2022-06-14 Maria Christakis , Hasan Ferit Eniser , Jörg Hoffmann , Adish Singla , Valentin Wüstholz

We provide a survey on relational models. Relational models describe complete networked {domains by taking into account global dependencies in the data}. Relational models can lead to more accurate predictions if compared to non-relational…

Artificial Intelligence · Computer Science 2016-09-13 Volker Tresp , Maximilian Nickel