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This paper presents an example of formal reasoning about the semantics of a Prolog program of practical importance (the SAT solver of Howe and King). The program is treated as a definite clause logic program with added control. The logic…

Logic in Computer Science · Computer Science 2017-05-15 Włodzimierz Drabent

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

The journey of reducing noise from distant supervision (DS) generated training data has been started since the DS was first introduced into the relation extraction (RE) task. For the past decade, researchers apply the multi-instance…

Computation and Language · Computer Science 2021-06-22 Tao Chen , Haizhou Shi , Siliang Tang , Zhigang Chen , Fei Wu , Yueting Zhuang

While software requirements are often expressed in natural language, verifying the correctness of a program against such requirements is a hard and underexplored problem. Large language models (LLMs) are promising candidates for addressing…

Software Engineering · Computer Science 2025-08-26 Dimitrios Stamatios Bouras , Yihan Dai , Tairan Wang , Yingfei Xiong , Sergey Mechtaev

The Semi-Implicit Root solver (SIR) is an iterative method for globally convergent solution of systems of nonlinear equations. Since publication, SIR has proven robustness for a great variety of problems. We here present MATLAB and MAPLE…

Computational Physics · Physics 2017-04-14 Jan Scheffel , Kristoffer Lindvall

In search for a foundational framework for reasoning about observable behavior of programs that may not terminate, we have previously devised a trace-based big-step semantics for While. In this semantics, both traces and evaluation…

Logic in Computer Science · Computer Science 2019-07-16 Keiko Nakata , Tarmo Uustalu

Reasoning in Large Language Models (LLMs) often suffers from inefficient long chain-of-thought traces with redundant self-exploration and validation, which inflate computational costs and even degrade performance. Inspired by human…

Artificial Intelligence · Computer Science 2026-02-17 Qianyue Wang , Jinwu Hu , Huanxiang Lin , Bolin Chen , Zhiquan Wen , Yaofo Chen , Yu Rong , Mingkui Tan

Hoare logic is a foundation of axiomatic semantics of classical programs and it provides effective proof techniques for reasoning about correctness of classical programs. To offer similar techniques for quantum program verification and to…

Quantum Physics · Physics 2009-06-26 Mingsheng Ying

We describe a program logic for weak memory (also known as relaxed memory). The logic is based on Hoare logic within a thread, and rely/guarantee between threads. It is presented via examples, giving proofs of many weak-memory litmus tests.…

Logic in Computer Science · Computer Science 2016-11-07 Richard Bornat , Jade Alglave , Matthew Parkinson

Most automated program verifiers for separation logic use either symbolic execution or verification condition generation to extract proof obligations, which are then handed over to an SMT solver. Existing verification algorithms are…

Programming Languages · Computer Science 2024-05-28 Marco Eilers , Malte Schwerhoff , Peter Müller

Uncertain information is being taken into account in an increasing number of application fields. In the meantime, abduction has been proved a powerful tool for handling hypothetical reasoning and incomplete knowledge. Probabilistic logical…

Artificial Intelligence · Computer Science 2022-02-04 Elena Bellodi , Marco Gavanelli , Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi

Separation logics are a family of extensions of Hoare logic for reasoning about programs that mutate memory. These logics are "abstract" because they are independent of any particular concrete memory model. Their assertion languages, called…

Logic in Computer Science · Computer Science 2013-11-27 Zhe Hou , Ranald Clouston , Rajeev Gore , Alwen Tiu

Intellectual Property (IP) piracy, overbuilding, reverse engineering, and hardware Trojan are serious security concerns during integrated circuit (IC) development. Logic locking has proven to be a solid defence for mitigating these threats.…

Cryptography and Security · Computer Science 2024-06-28 Vijaypal Singh Rathor , Munesh Singh , Kshira Sagar Sahoo , Saraju P. Mohanty

Model-free deep reinforcement learning (RL) has demonstrated its superiority on many complex sequential decision-making problems. However, heavy dependence on dense rewards and high sample-complexity impedes the wide adoption of these…

Machine Learning · Computer Science 2020-04-02 Zhuangdi Zhu , Kaixiang Lin , Bo Dai , Jiayu Zhou

While large pre-trained language models (LLMs) have shown their impressive capabilities in various NLP tasks, they are still under-explored in the misinformation domain. In this paper, we examine LLMs with in-context learning (ICL) for news…

Computation and Language · Computer Science 2023-10-03 Xuan Zhang , Wei Gao

Approximate Logic Synthesis (ALS) is the process of synthesizing and mapping a given Boolean network to a library of logic cells so that the magnitude/rate of error between outputs of the approximate and initial (exact) Boolean netlists is…

Hardware Architecture · Computer Science 2019-02-04 Ghasem Pasandi , Shahin Nazarian , Massoud Pedram

Compiler correctness proofs for higher-order concurrent languages are difficult: they involve establishing a termination-preserving refinement between a concurrent high-level source language and an implementation that uses low-level shared…

Programming Languages · Computer Science 2017-01-23 Joseph Tassarotti , Ralf Jung , Robert Harper

We study the law of the iterated logarithm (LIL) for the maximum likelihood estimation of the parameters (as a convex optimization problem) in the generalized linear models with independent or weakly dependent ($\rho$-mixing, $m$-dependent)…

Statistics Theory · Mathematics 2020-04-28 Xiaowei Yang , Shuang Song , Huiming Zhang

Multiple successful compositional symbolic execution (CSE) tools and platforms exploit separation logic (SL) for compositional verification and/or incorrectness separation logic (ISL) for compositional bug-finding, including VeriFast,…

Programming Languages · Computer Science 2025-08-28 Andreas Lööw , Seung Hoon Park , Daniele Nantes-Sobrinho , Sacha-Élie Ayoun , Opale Sjöstedt , Philippa Gardner

Thanks to the locality principle, separation logics support modular, scalable analysis of large codebases by relying on local axioms and frame rules to focus only on the heap fragments required for verification. However, depending on the…

Logic in Computer Science · Computer Science 2026-05-21 Roberto Bruni , Lorenzo Gazzella , Roberta Gori
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