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A Region Graph Based Approach to Termination Proofs [chapter]

Stefan Leue, Wei Wei
2006 Lecture Notes in Computer Science  
While most of the recent work on automated termination proofs focuses on the construction of linear ranking functions, we develop an approach based on region graphs in which regions define subsets of variable  ...  We show the effectiveness of our proof method by experiments with Java code using a prototype implementation of our approach.  ...  The basic idea of our region graph based termination proofs is stated in Theorem 1. In the next sections we will show how to construct region graphs for proving termination.  ... 
doi:10.1007/11691372_21 fatcat:csq2btrctzbjheo2i7hyx7kjue

An exact algorithm for the construction of rectilinear Steiner minimum trees among complex obstacles

Tao Huang, Evangeline F. Y. Young
2011 Proceedings of the 48th Design Automation Conference on - DAC '11  
This is the first work to propose a geometric approach to optimally solve the OARSMT problem among complex obstacles.  ...  Benchmarks with hundreds of terminals among a large number of obstacles are solved optimally in a reasonable amount of time.  ...  Although the escape graph model can transform the OARSMT problem to a graph problem which can be solved optimally by using some graph based algorithms [12, 13] , these approaches are believed to be less  ... 
doi:10.1145/2024724.2024762 dblp:conf/dac/HuangY11 fatcat:wyqfat4mxbfllhjn37euajxh4a

Analogical Representation of RCC-8 for Neighborhood-Based Qualitative Spatial Reasoning [chapter]

Diedrich Wolter, Arne Kreutzmann
2015 Lecture Notes in Computer Science  
We develop a graphbased analogical representation for RCC-8, the construction of which is based on neighborhood transitions realized by efficient graph transformations.  ...  This makes it difficult to design efficient knowledge manipulation techniques that consistently advance a representation with respect to conceptual neighborhood.  ...  The condition of the "while" loop implies that the algorithm can only terminate with a graph G whose RCC-8 interpretation is identical to C. It remains to be shown that the algorithm terminates.  ... 
doi:10.1007/978-3-319-24489-1_15 fatcat:evfxocp5hrg63lfjnkytgq4hv4

Network coding for undirected information exchange

Jasper Goseling, Christina Fragouli, Suhas Diggavi
2009 IEEE Communications Letters  
We consider the information exchange problem where each in a set of terminals transmits information to all other terminals in the set, over an undirected network.  ...  We show that the design of only a single network code for multicasting is sufficient to achieve an arbitrary point in the achievable rate region.  ...  We also provide a proof for Theorem 2 based on graph-theoretic properties, that gives additional insight in our problem structure. VII.  ... 
doi:10.1109/lcomm.2009.081288 fatcat:tbcx5et3pve4zpd62hd4hdkjtq

EBOARST: An Efficient Edge-Based Obstacle-Avoiding Rectilinear Steiner Tree Construction Algorithm

Jieyi Long, Hai Zhou, Seda Ogrenci Memik
2008 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  
Second, we present a fast algorithm for the minimum terminal spanning tree construction step, which dominates the running time of several existing approaches.  ...  Third, we present an edge-based heuristic, which enables us to perform both local and global refinements, leading to Steiner trees with small lengths.  ...  Proof: For a given G fb , we construct a graph G fb whose vertex set contains only the terminal vertices of G fb .  ... 
doi:10.1109/tcad.2008.2006098 fatcat:inxgblkcpbelpcw7s7g5cowcfa

Page 3267 of Mathematical Reviews Vol. , Issue 87f [page]

1987 Mathematical Reviews  
A theorem is proved which may be used to establish the confluence of a terminating rewrite system.  ...  We present an approach to generalizing the Tarskian semantics of Horn clause rules to justify a form of quantitative deduction. Each clause receives a numerical attenuation factor.  ... 

On the Construction of Optimal Obstacle-Avoiding Rectilinear Steiner Minimum Trees

Tao Huang, Liang Li, Evangeline F. Y. Young
2011 IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems  
Based on these observations, a twophase approach is developed for the construction of OARSMTs. In the first phase, we generate a set of FSTs with blockages.  ...  We modify and extend the algorithm to allow obstacles in the routing region. For each routing obstacle, we first introduce four virtual terminals located at its four corners.  ...  Let (W : N − W) be a source to terminal cut of G such that c(W) is minimized, then X m = {u : u ∈ T + V ∧ u ∈ N − W} is a minimum of f (X).  ... 
doi:10.1109/tcad.2010.2098930 fatcat:k5txlttwhbfuxeemlx5lw6gmoq

Page 1949 of Mathematical Reviews Vol. 55, Issue 6 [page]

1978 Mathematical Reviews  
Authors’ summary: ‘“‘A new proof for the terminal solvability of multiterminal RLCT networks is given.  ...  Generalization to an arbitrarily finite number of decoders follows directly. | Nguyen Quang Duc (Melbourne) Abdullah, Khaldun; Tokad, Yilmaz; Zeren, Togan 14414 A new approach for the terminal solvability  ... 

Page 3626 of Mathematical Reviews Vol. , Issue 2000e [page]

2000 Mathematical Reviews  
A bottom-up algorithm for p-subgraph isomorphism computation according to a given search graph and a template graph is described.  ...  Summary: “An approach to the recognition of polymorphic pat- terns by subgraph isomorphism computation of parameterized graphs is presented.  ... 

Reduction-based exact solution of prize-collecting Steiner tree problems [article]

Daniel Rehfeldt, Thorsten Koch
2018 arXiv   pre-print
The prize-collecting Steiner tree problem PCSTP is a well-known generalization of the classical Steiner tree problem in graphs, with a large number of practical applications.  ...  Finally, the new developments also translate into a strong computational performance: the resulting exact solver outperforms all previous approaches---both in terms of run-time and solvability---and can  ...  In turn, an improved upper bound can allow for further graph reductions (e.g. by the terminal-regions composition) or to fix additional terminals (by means of Proposition 6).  ... 
arXiv:1811.09068v1 fatcat:irnwe4d6nvhjbmpzbt6ivfbrui

Range Assignment Problem on the Steiner Tree Based Topology in Ad Hoc Wireless Networks

Rashid Bin Muhammad
2009 Mobile Information Systems  
It does not assume that communication graph to be a unit disk graph.  ...  The output of the algorithm is the minimal Steiner tree on the graph consists of terminal (original) nodes and relay (additional) nodes.  ...  The region of a point n i ∈ N consists of all points closer to n i than to any other points on the plane.  ... 
doi:10.1155/2009/707968 fatcat:ubyf7o4fmngjdnqgqjeeanbgjm

From Shape Analysis to Termination Analysis in Linear Time [chapter]

Roman Manevich, Boris Dogadov, Noam Rinetzky
2016 Lecture Notes in Computer Science  
We present a novel algorithm to conservatively check whether a (recursive) heap-manipulating program terminates.  ...  We successfully applied a prototype of our analysis to prove termination of a suite of benchmarks from existing literature, including (looping, recursive, and concurrent) list manipulating programs, looping  ...  We refer to the resulting graph as the condensation graph and to its nodes as region ranks, and denote the region rank corresponding to a region r by [r] .  ... 
doi:10.1007/978-3-319-41528-4_23 fatcat:hhr5skypnnabhkutmxoxbnpkxi

Recognition of logically related regions based heap abstraction

Mohamed A. El-Zawawy
2012 Journal of the Egyptian Mathematical Society  
The result of heap abstraction, together with some properties of data structures, can be used to enable program optimizations like static deallocation, pool allocation, region-based garbage collection,  ...  More precisely, this paper proposes algorithms for abstracting heap components with the layout of a singly linked list, a binary tree, a cycle, and a directed acyclic graph.  ...  The simplest of these approaches groups the heap objects based on the result of a pointer analysis like Steensgaard analysis [7] .  ... 
doi:10.1016/j.joems.2012.08.009 fatcat:nfz6sf4ya5d37hveda4y3s3ndm

Key Generation Algorithms for Pairwise Independent Networks Based on Graphical Models

Lifeng Lai, Siu-Wai Ho
2015 IEEE Transactions on Information Theory  
In particular, in the first problem in which one is required to generate a group key for a group of users in the network, we propose a network coding based global key propagation approach.  ...  In the second problem, in which one is required to generate multiple keys simultaneously for different pairs of users, we propose a multi-commodity flow based global key propagation approach.  ...  In the following, we describe a graph-based approach that allows nodes to propagate keys over the network.  ... 
doi:10.1109/tit.2015.2450729 fatcat:y6ax4fsmorgfzggaj2bs7hboza

Partial dead code elimination using slicing transformations

Rastislav Bodík, Rajiv Gupta
1997 Proceedings of the ACM SIGPLAN 1997 conference on Programming language design and implementation - PLDI '97  
These branches are eliminated in a branch deletion step based upon code duplication.  ...  The control ow restructuring performed to achieve predication is expressed through slicing transformations. This approach achieves PDE that is not realizable by existing algorithms.  ...  Acknowledgment This research has been supported in part by a National Science Foundation Presidential Young Investigator Award CCR-9157371 to the University of Pittsburgh and a grant from Hewlett-Packard  ... 
doi:10.1145/258915.258930 dblp:conf/pldi/BodikG97 fatcat:omdrzyx6ijhw5j2ea4jdzrbqfe
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