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How does one verify that the output of a complicated program is correct? One can formally prove that the program is correct, but this may be beyond the power of existing methods. Alternatively one can check that the output produced for a…

Data Structures and Algorithms · Computer Science 2013-03-08 Loukas Georgiadis , Robert E. Tarjan

Graph pattern matching is a fundamental operation for the analysis and exploration ofdata graphs. In thispaper, we presenta novel approachfor efficiently finding homomorphic matches for hybrid graph patterns, where each pattern edge may be…

Databases · Computer Science 2022-09-29 Xiaoying Wu , Dimitri Theodoratos , Nikos Mamoulis , Michael Lan

The pathway is a biological term that refers to a series of interactions between molecules in a cell that causes a certain product or a change in the cell. Pathway analysis is a powerful method for gene expression analysis. Through pathway…

Data Structures and Algorithms · Computer Science 2022-01-11 Lingran Xiao , Yanfei Wang , Shiying Li , Lingxi Chen , Shuaicheng Li

We provide a simple linear time transformation from a directed or undirected graph with labeled edges to an unlabeled digraph, such that paths in the input graph in which no two consecutive edges have the same label correspond to paths in…

Data Structures and Algorithms · Computer Science 2007-05-23 David Eppstein

Graph transformation systems have the potential to be realistic models of chemistry, provided a comprehensive collection of reaction rules can be extracted from the body of chemical knowledge. A first key step for rule learning is the…

Discrete Mathematics · Computer Science 2016-04-22 Christoph Flamm , Daniel Merkle , Peter F. Stadler , Uffe Thorsen

Symbolic execution is a powerful program analysis technique that can formally reason the correctness of program behaviors and detect software bugs. It can systematically explore the execution paths of the tested program. But it suffers from…

Cryptography and Security · Computer Science 2025-05-07 Shuangjie Yao , Dongdong She

Executing a control sequence requires computation. While this is a simple observation, developing a framework that relates a controller's required computation to its ability to successfully control a system (e.g. lower control cost) is…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Justin Ting , Jing Shuang Li

Web applications are becoming more and more complex. Testing such applications is an intricate hard and time-consuming activity. Therefore, testing is often poorly performed or skipped by practitioners. Test automation can help to avoid…

Software Engineering · Computer Science 2011-08-12 Boni García , Juan Carlos Dueñas

One model of message delivery in a computer network is based on labelling each edge by a subset of a (reasonably small) universal set, and then encoding a path as the union of the labels of its edges. Earlier work suggested using random…

Combinatorics · Mathematics 2018-06-26 Gokce Caylak Kayaturan , Alexei Vernitski

In this paper we propose a new approach for developing a proof that P=NP. We propose to use a polynomial-time reduction of a NP-complete problem to Linear Programming. Earlier such attempts used polynomial-time transformation which is a…

Computational Complexity · Computer Science 2023-02-20 Malay Dutta , Anjana K. Mahanta

We consider the feasibility problem of integer linear programming (ILP). We show that solutions of any ILP instance can be naturally represented by an FO-definable class of graphs. For each solution there may be many graphs representing it.…

Logic in Computer Science · Computer Science 2014-08-27 Constantin Enea , Peter Habermehl , Omar Inverso , Gennaro Parlato

Reliable confidence estimation enables safe deployment of chain-of-thought (CoT) reasoning through text-only APIs. Yet the dominant black-box baseline, self-consistency over K samples, is linearly expensive and ignores the geometry of the…

The way the basis path set works in neural network remains mysterious, and the generalization of newly appeared G-SGD algorithm to more practical network is hindered. The Basis Path Set Searching problem is formulated from the perspective…

Data Structures and Algorithms · Computer Science 2020-07-03 Juanping Zhu , Qi Meng , Wei Chen , Yue Wang , Zhiming Ma

We propose an approach on model checking information flow for imperative language with procedures. We characterize our model with pushdown system, which has a stack of unbounded length that naturally models the execution of procedural…

Cryptography and Security · Computer Science 2010-12-15 Cong Sun , Liyong Tang , Zhong Chen

Scientific software is, by its very nature, complex. It is mathematical and highly optimized which makes it prone to subtle bugs not as easily detected by traditional testing. We outline how symbolic execution can be used to write tests…

Software Engineering · Computer Science 2025-10-16 Alexander C. Wilton

We study an ancient problem that in a static or dynamical system, sought an optimal path, which the context always means within an extremal condition. In fact, through those discussions about this theme, we established a universal essential…

Data Structures and Algorithms · Computer Science 2016-02-09 Yong Tan

The goal of Multi-Agent Path Finding (MAPF) is to find a set of paths for a fleet of agents moving in a shared environment such that the agents reach their goals without colliding with each other. In practice, some of the robots executing…

Multiagent Systems · Computer Science 2025-09-15 David Zahrádka , Denisa Mužíková , David Woller , Miroslav Kulich , Jiří Švancara , Roman Barták

Verifying whether a procedure is observationally pure is useful in many software engineering scenarios. An observationally pure procedure always returns the same value for the same argument, and thus mimics a mathematical function. The…

Software Engineering · Computer Science 2019-02-15 Himanshu Arora , Raghavan Komondoor , G. Ramalingam

We introduce an automata-theoretic method for the verification of distributed algorithms running on ring networks. In a distributed algorithm, an arbitrary number of processes cooperate to achieve a common goal (e.g., elect a leader).…

Logic in Computer Science · Computer Science 2015-04-27 C. Aiswarya , Benedikt Bollig , Paul Gastin

Symbolic execution is an important software analysis technique which benefits downstream tasks such as software testing and debugging. However, several limitations hinder symbolic execution from application on real-world software. One of…

Software Engineering · Computer Science 2025-11-25 Wenhan Wang , Kaibo Liu , Zeyu Sun , An Ran Chen , Ge Li , Gang Huang , Lei Ma
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