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A Metric Interval Temporal Logic (MITL) verification algorithm is presented. It verifies continuous-time signals without relying on high frequency sampling. Instead, it is assumed that collections of over- and under-approximating intervals…

Logic in Computer Science · Computer Science 2022-08-30 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

A desired but challenging property of compiler verification is compositionality, in the sense that the compilation correctness of a program can be deduced incrementally from that of its substructures ranging from statements, functions, and…

Programming Languages · Computer Science 2026-03-31 Zhang Cheng , Jiyang Wu , Di Wang , Qinxiang Cao

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

Modular reasoning about class invariants is challenging in the presence of dependencies among collaborating objects that need to maintain global consistency. This paper presents semantic collaboration: a novel methodology to specify and…

Software Engineering · Computer Science 2014-05-08 Nadia Polikarpova , Julian Tschannen , Carlo A. Furia , Bertrand Meyer

The adoption of machine learning (ML) components in software systems raises new engineering challenges. In particular, the inherent uncertainty regarding functional suitability and the operation environment makes architecture evaluation and…

Software Engineering · Computer Science 2020-08-10 Alex Serban , Erik Poll , Joost Visser

LLM-based formal proof assistants (e.g., in Lean) hold great promise for automating mathematical discovery. But beyond syntactic correctness, do these systems truly understand mathematical structure as humans do? We investigate this…

Artificial Intelligence · Computer Science 2025-10-21 Haoyu Zhao , Yihan Geng , Shange Tang , Yong Lin , Bohan Lyu , Hongzhou Lin , Chi Jin , Sanjeev Arora

Amodal completion, the task of inferring invisible object parts, faces significant challenges in maintaining semantic consistency and structural integrity. Prior progressive approaches are inherently limited by inference instability and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-25 Hongxing Fan , Shuyu Zhao , Jiayang Ao , Lu Sheng

We formally verify an algorithm for approximate policy iteration on Factored Markov Decision Processes using the interactive theorem prover Isabelle/HOL. Next, we show how the formalized algorithm can be refined to an executable, verified…

Artificial Intelligence · Computer Science 2024-06-12 Maximilian Schäffeler , Mohammad Abdulaziz

Using an interactive theorem prover to reason about programs involves a sequence of interactions where the user challenges the theorem prover with conjectures. Invariably, many of the conjectures posed are in fact false, and users often…

Software Engineering · Computer Science 2011-10-24 Harsh Raju Chamarthi , Peter C. Dillinger , Matt Kaufmann , Panagiotis Manolios

The goal of this paper is to help mainstream programmers routinely use formal verification on their smart contracts by 1) proposing a new YAML-format for writing general-purpose formal specifications, 2) demonstrating how a formal…

Programming Languages · Computer Science 2019-12-09 Suhabe Bugrara

Isabelle is a generic theorem prover, designed for interactive reasoning in a variety of formal theories. At present it provides useful proof procedures for Constructive Type Theory, various first-order logics, Zermelo-Fraenkel set theory,…

Logic in Computer Science · Computer Science 2008-02-03 Lawrence C. Paulson

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

There is an increasing need for domain-specific reasoning in modern compilers. This has fueled the use of tailored intermediate representations (IRs) based on static single assignment (SSA), like in the MLIR compiler framework. Interactive…

Programming Languages · Computer Science 2024-07-08 Siddharth Bhat , Alex Keizer , Chris Hughes , Andrés Goens , Tobias Grosser

Understanding and extracting structured insights from unstructured documents remains a foundational challenge in industrial NLP. While Large Language Models (LLMs) enable zero-shot extraction, traditional pipelines often fail to handle…

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

Early design artifacts of embedded systems, such as architectural models, represent convenient abstractions for reasoning about a system's structure and functionality. One such example is the Electronic Architecture and Software…

Software Engineering · Computer Science 2018-02-06 Raluca Marinescu , Predrag Filipovikj , Eduard Paul Enoiu , Jonatan Larsson , Cristina Seceleanu

Artificial intelligence (AI) in its various forms finds more and more its way into complex distributed systems. For instance, it is used locally, as part of a sensor system, on the edge for low-latency high-performance inference, or in the…

Software Engineering · Computer Science 2022-12-29 Hans-Martin Heyn , Eric Knauss , Patrizio Pelliccione

Automatic (i.e., computer-assisted) theorem proving (ATP) can come in many flavors. This document presents early steps in our effort towards defining object-oriented theorem proving (OOTP) as a new style of ATP. Traditional theorem proving…

Programming Languages · Computer Science 2019-02-28 Moez A. AbdelGawad

Architectural Decision Records (ADRs) play a central role in maintaining software architecture quality, yet many decision violations go unnoticed because projects lack both systematic documentation and automated detection mechanisms. Recent…

Software Engineering · Computer Science 2026-02-10 Ruoyu Su , Alexander Bakhtin , Noman Ahmad , Matteo Esposito , Valentina Lenarduzzi , Davide Taibi

Reliable verification of proofs remains a bottleneck for training and evaluating AI systems on hard mathematical reasoning. Fully formal proofs, in languages like Lean, are easy to verify because they are unambiguous and modular. Most…

Logic in Computer Science · Computer Science 2026-05-21 Slim Barkallah , Luke Bailey , Kaiyue Wen , Mohammed Abouzaid , Tengyu Ma