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Verification proofs encode complete program behavior, yet we discard them after checking correctness. We present compiling by proving, a paradigm that transforms these proofs into optimized execution rules. By constructing All-Path…

Programming Languages · Computer Science 2025-09-29 Jianhong Zhao , Everett Hildenbrandt , Juan Conejero , Yongwang Zhao

In recent years, kernel-based sparse coding (K-SRC) has received particular attention due to its efficient representation of nonlinear data structures in the feature space. Nevertheless, the existing K-SRC methods suffer from the lack of…

Machine Learning · Computer Science 2019-03-14 Babak Hosseini , Barbara Hammer

Software testing uses wide range of different tools to enhance the complicated process of defining quality of the system under test. Formal Concept Analysis (FCA) provides us with algorithms of deriving formal ontology from a set of objects…

Software Engineering · Computer Science 2015-05-07 Fedor Strok

We present a framework for symbolically executing and model checking higher-order programs with external (open) methods. We focus on the client-library paradigm and in particular we aim to check libraries with respect to any definable…

Programming Languages · Computer Science 2020-02-24 Yu-Yang Lin , Nikos Tzevelekos

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

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

Stochastic simulation models are generative models that mimic complex systems to help with decision-making. The reliability of these models heavily depends on well-calibrated input model parameters. However, in many practical scenarios,…

Methodology · Statistics 2024-11-11 Ziwei Su , Diego Klabjan

In likelihood-free settings where likelihood evaluations are intractable, approximate Bayesian computation (ABC) addresses the formidable inference task to discover plausible parameters of simulation programs that explain the observations.…

Machine Learning · Statistics 2019-03-05 Kelvin Hsu , Fabio Ramos

Non-linear kernel methods can be approximated by fast linear ones using suitable explicit feature maps allowing their application to large scale problems. We investigate how convolution kernels for structured data are composed from base…

Machine Learning · Computer Science 2019-11-26 Nils M. Kriege , Marion Neumann , Christopher Morris , Kristian Kersting , Petra Mutzel

A validation methodology is proposed and implemented for natural language software specifications of standard graphics functions. Checks are made for consistency, completeness, and lack of ambiguity in data element and function…

Software Engineering · Computer Science 2024-02-01 Steven D. Fraser , Peter P. Silvester

The increasing adoption of neural networks in learning-augmented systems highlights the importance of model safety and robustness, particularly in safety-critical domains. Despite progress in the formal verification of neural networks,…

Machine Learning · Computer Science 2024-10-25 Shuowei Jin , Francis Y. Yan , Cheng Tan , Anuj Kalia , Xenofon Foukas , Z. Morley Mao

Refinement types decorate types with assertions that enable automatic verification. Like assertions, refinements are limited to binders that are in scope, and hence, cannot express higher-order specifications. Ghost variables circumvent…

Programming Languages · Computer Science 2021-05-06 Anish Tondwalkar , Matthew Kolosick , Ranjit Jhala

Fully automated verification of large-scale software and hardware systems is arguably the holy grail of formal methods. Large language models (LLMs) have recently demonstrated their potential for enhancing the degree of automation in formal…

Software Engineering · Computer Science 2026-03-11 Zhongyi Wang , Tengjie Lin , Mingshuai Chen , Haokun Li , Mingqi Yang , Xiao Yi , Shengchao Qin , Yixing Luo , Xiaofeng Li , Bin Gu , Liqiang Lu , Jianwei Yin

We present a probabilistic framework for both (i) determining the initial settings of kernel adaptive filters (KAFs) and (ii) constructing fully-adaptive KAFs whereby in addition to weights and dictionaries, kernel parameters are learnt…

Machine Learning · Statistics 2017-07-21 Iván Castro , Cristóbal Silva , Felipe Tobar

Simulink/Stateflow charts are widely used in industry for the specification of control systems, which are often safety-critical. This suggests a need for a formal treatment of such models. In previous work, we have proposed a technique for…

Logic in Computer Science · Computer Science 2011-06-22 Alvaro Miyazawa , Ana Cavalcanti

As new advancements in the field of quantum computing lead to the development of increasingly complex programs, approaches to validate and debug these programs are becoming more important. To this end, methods employed in classical…

Quantum Physics · Physics 2024-12-20 Damian Rovara , Lukas Burgholzer , Robert Wille

Consider the problem of verifying security properties of a cryptographic protocol coded in C. We propose an automatic solution that needs neither a pre-existing protocol description nor manual annotation of source code. First, symbolically…

Cryptography and Security · Computer Science 2011-07-07 Mihhail Aizatulin , Andrew D. Gordon , Jan Jürjens

Symbolic execution is a classical program analysis technique used to show that programs satisfy or violate given specifications. In this work we generalize symbolic execution to support program analysis for relational specifications in the…

Programming Languages · Computer Science 2019-08-05 Gian Pietro Farina , Stephen Chong , Marco Gaboardi

Formal specifications play a pivotal role in accurately characterizing program behaviors and ensuring software correctness. In recent years, leveraging large language models (LLMs) for the automatic generation of program specifications has…

Software Engineering · Computer Science 2026-02-03 Zehan Chen , Long Zhang , Zhiwei Zhang , JingJing Zhang , Ruoyu Zhou , Yulong Shen , JianFeng Ma , Lin Yang

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
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