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We present a new modular proof method of termination for second-order computation, and report its implementation SOL. The proof method is useful for proving termination of higher-order foundational calculi. To establish the method, we use a…

Symbolic Computation · Computer Science 2023-06-22 Makoto Hamana

Modeling complex subjective tasks in Natural Language Processing, such as recognizing emotion and morality, is considerably challenging due to significant variation in human annotations. This variation often reflects reasonable differences…

Computation and Language · Computer Science 2025-11-12 Georgios Chochlakis , Peter Wu , Arjun Bedi , Marcus Ma , Kristina Lerman , Shrikanth Narayanan

Program transformation has gained a wide interest since it is used for several purposes: altering semantics of a program, adding features to a program or performing optimizations. In this paper we focus on program transformations at the…

Logic in Computer Science · Computer Science 2013-08-01 Razika Lounas , Mohamed Mezghiche , Jean-Louis Lanet

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

Logic in Computer Science · Computer Science 2007-05-23 K. R. Apt , C. F. M. Vermeulen

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

Logic in Computer Science · Computer Science 2009-09-30 Alwen Tiu , Alberto Momigliano

Assertions are widely used for functional validation as well as coverage analysis for both software and hardware designs. Assertions enable runtime error detection as well as faster localization of errors. While there is a vast literature…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Yangdi Lyu , Prabhat Mishra

Training and deploying machine learning models relies on a large amount of human-annotated data. As human labeling becomes increasingly expensive and time-consuming, recent research has developed multiple strategies to speed up annotation…

Computation and Language · Computer Science 2025-01-28 Ekaterina Artemova , Akim Tsvigun , Dominik Schlechtweg , Natalia Fedorova , Konstantin Chernyshev , Sergei Tilga , Boris Obmoroshev

We present a generic framework that facilitates object level reasoning with logics that are encoded within the Higher Order Logic theorem proving environment of HOL Light. This involves proving statements in any logic using intuitive…

Logic in Computer Science · Computer Science 2021-01-12 Petros Papapanagiotou , Jacques Fleuriot

We address the problem of verifying safety properties of concurrent programs running over the Total Store Order (TSO) memory model. Known decision procedures for this model are based on complex encodings of store buffers as lossy channels.…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Ahmed Bouajjani , Tuan Phong Ngo

Binary-level pointer analysis can be of use in symbolic execution, testing, verification, and decompilation of software binaries. In various such contexts, it is crucial that the result is trustworthy, i.e., it can be formally established…

Software Engineering · Computer Science 2025-01-30 Freek Verbeek , Ali Shokri , Daniel Engel , Binoy Ravindran

Separation logic is a Hoare-style logic for reasoning about programs with heap-allocated mutable data structures. As a step toward extending separation logic to high-level languages with ML-style general (higher-order) storage, we…

Logic in Computer Science · Computer Science 2015-07-01 Jan Schwinghammer , Lars Birkedal , Bernhard Reus , Hongseok Yang

The labels used to train machine learning (ML) models are of paramount importance. Typically for ML classification tasks, datasets contain hard labels, yet learning using soft labels has been shown to yield benefits for model…

Machine Learning · Computer Science 2022-08-31 Katherine M. Collins , Umang Bhatt , Adrian Weller

These course notes are about computing modular forms and some of their arithmetic properties. Their aim is to explain and prove the modular symbols algorithm in as elementary and as explicit terms as possible, and to enable the devoted…

Number Theory · Mathematics 2018-09-14 Gabor Wiese

Behavioral software contracts are a widely used mechanism for governing the flow of values between components. However, run-time monitoring and enforcement of contracts imposes significant overhead and delays discovery of faulty components…

Programming Languages · Computer Science 2014-06-17 Phuc C. Nguyen , Sam Tobin-Hochstadt , David Van Horn

Recent research in the field of computer vision strongly focuses on deep learning architectures to tackle image processing problems. Deep neural networks are often considered in complex image processing scenarios since traditional computer…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Marcel P. Schilling , Luca Rettenberger , Friedrich Münke , Haijun Cui , Anna A. Popova , Pavel A. Levkin , Ralf Mikut , Markus Reischl

Verifying software correctness has always been an important and complicated task. Recently, formal proofs of critical properties of algorithms and even implementations are becoming practical. Currently, the most powerful automated proof…

Logic in Computer Science · Computer Science 2019-04-10 Michael Raskin , Christoph Welzel

Many automatic theorem-provers rely on rewriting. Using theorems as rewrite rules helps to simplify the subgoals that arise during a proof. LCF is an interactive theorem-prover intended for reasoning about computation. Its implementation of…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson

We propose a set of benchmarks for evaluating the practicality of software obfuscators which rely on provably-secure methods for functional obfuscation.

Cryptography and Security · Computer Science 2015-01-14 Clark Thomborson

Human Activity Recognition (HAR) has become one of the leading research topics of the last decade. As sensing technologies have matured and their economic costs have declined, a host of novel applications, e.g., in healthcare, industry,…

Machine Learning · Computer Science 2023-07-13 Florenc Demrozi , Cristian Turetta , Fadi Al Machot , Graziano Pravadelli , Philipp H. Kindt

Hoare logic provides a syntax-oriented method to reason about program correctness and has been proven effective in the verification of classical and probabilistic programs. Existing proposals for quantum Hoare logic either lack completeness…

Logic in Computer Science · Computer Science 2022-06-29 Yuan Feng , Mingsheng Ying