context free grammars_simplification
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The document describes techniques for simplifying context-free grammars, including removing nullable variables, unit productions, and useless variables and productions. Nullable variables are those that can derive the empty string and are removed. Unit productions are of the form A->B where A and B are the same variable. Useless variables are those that cannot derive any strings made of only terminals, starting from the start symbol. Removing elements according to these definitions results in a simplified equivalent grammar.
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Context free grammars
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Khi 078 revised dt report
This report summarizes the results of a single site verification test for a Wi tribe LTE TDD project. Key findings include:
1) Throughput testing achieved the target values for all three sectors at near points and exceeded targets for some sectors at far points.
2) Latency was below targets for most tests.
3) Coverage maps show the three sectors together maximize the area covered by the site with some null areas.
LTE quick introduction session Training
LTE is an IP-based broadband network technology developed by 3GPP as an evolution of 3G mobile networks. It provides higher data rates and an improved end-to-end solution for delivery of voice, data and multimedia to users. Key aspects of LTE include support for wider channel bandwidths up to 20MHz, OFDMA on the downlink and SC-FDMA on the uplink, peak data rates of 100Mbps downlink and 50Mbps uplink, and backward compatibility with 2G and 3G networks. LTE Advanced further enhances LTE through the use of carrier aggregation to bond multiple component carriers, support for higher order MIMO up to 8x8, and theoretical peak data rates
LTE Sales Training for CPE Device
The document provides an overview of LTE technology and discusses why TDD-LTE is a good choice for wireless broadband (WBB). Key points include:
1) TDD-LTE offers flexibility in configuring downlink and uplink bandwidth ratios to match traffic usage, and provides 3 times the throughput of WiMAX.
2) The 3.5GHz spectrum band has abundant available spectrum that is well-suited for large-scale LTE TDD commercialization.
3) LTE TDD is a standard evolution of WiMAX that benefits from 3GPP standards and continued advancement. Mature ecosystems have been established for 3.5GHz LTE TDD commercialization.
Witribe Customer Premises Equipment Training for LTE
This document provides instructions for configuring and using a Wi-Tribe LTE CPE device. It describes how to view the device and network status, configure Wi-Fi and network settings like port forwarding and firewall rules, perform a factory reset, and find information like the serving site ID and device IP address. Key settings and status pages are outlined, including mobile network status, Wi-Fi settings, LAN/WAN network status, port forwarding, and basic firewall configuration.
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一比一原版(CSU毕业证)加利福尼亚州立大学毕业证成绩单专业办理
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留信网认证的作用:
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7:个人信誉贷款加10分→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
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This article delves into how the Internet of Things in manufacturing is reshaping the industry, its benefits, challenges, and future prospects.
制作毕业证书(ANU毕业证)莫纳什大学毕业证成绩单官方原版办理
在线办理莫纳什大学毕业证【微信：176555708】(ANU毕业证书)成绩单学位证【微信：176555708】，留信认证（真实可查，永久存档）纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。#一整套莫纳什大学文凭证件办理#—包含莫纳什大学莫纳什大学毕业证文凭证书学历认证|使馆认证|归国人员证明|教育部认证|留信网认证永远存档教育部学历学位认证查询办理国外文凭国外学历学位认证#我们提供全套办理服务。
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国外毕业证学位证成绩单办理方法：
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教育部文凭学历认证认证的用途：
如果您计划在国内发展那么办理国内教育部认证是必不可少的。事业性用人单位如银行国企公务员在您应聘时都会需要您提供这个认证。其他私营 #外企企业无需提供！办理教育部认证所需资料众多且烦琐所有材料您都必须提供原件我们凭借丰富的经验帮您快速整合材料让您少走弯路。
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办理新西兰奥克兰大学毕业证学位证书范本原版一模一样
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本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
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留信网认证的作用:
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2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
国外证书(Lincoln毕业证)新西兰林肯大学毕业证成绩单不能毕业办理
退学办理新西兰林肯大学毕业证【微信176555708】学历认证怎么做：原版仿制新西兰林肯大学电子版成绩单毕业证认证【新西兰林肯大学毕业证成绩单】、新西兰林肯大学文凭证书成绩单复刻offer录取通知书、购买Lincoln圣力嘉学院本科毕业证、【新西兰林肯大学毕业证办理Lincoln毕业证书哪里买】、新西兰林肯大学 Offer在线办理Lincoln Offer新西兰林肯大学Bachloer Degree。1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：微信176555708我们有专业老师帮你查询）；
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4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）。
7完成交易删除客户资料
高精端提供以下服务：
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五：与学校颁发的相关证件1:1纸质尺寸制定（定期向各大院校毕业生购买最新版本毕,业证成绩单保证您拿到的是鲁昂大学内部最新版本毕业证成绩单微信176555708）
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B.为什么我们提供的毕业证成绩单具有使用价值？
查询留服认证是国内鉴别留学生海外学历的唯一途径但认证只是个体行为不是所有留学生都操作所以没有办理认证的留学生的学历在国内也是查询不到的他们也仅仅只有一张文凭。所以这时候我们提供的和学校颁发的一模一样的毕业证成绩单就有了使用价值。
Should Repositories Participate in the Fediverse?
Presentation for OR2024 making the case that repositories could play a part in the "fediverse" of distributed social applications
制作原版1:1(Monash毕业证)莫纳什大学毕业证成绩单办理假
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可办理以下真实莫纳什大学存档留学生信息存档认证：
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留学本科/硕士毕业证书成绩单制作流程：
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2开始安排制作莫纳什大学毕业证成绩单电子图；
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4莫纳什大学毕业证成绩单电子版您确认信息无误之后安排制作成品；
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Search results burying my post that used to rank before Google's March 2024 algorithm update.
学位认证网(DU毕业证)迪肯大学毕业证成绩单一比一原版制作
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degree，Transcripts（一对一服务包括毕业院长签字,专业课程,学位类型,专业或教育领域,以及毕业日期.不要忽视这些细节.这两份文件同样重要!毕业证成绩单文凭留信网学历认证！）如果您是以下情况，我们都能竭诚为您解决实际问题：【公司采用定金+余款的付款流程，以最大化保障您的利益，让您放心无忧】
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诚招代理：本公司诚聘当地合作代理人员，如果你有业余时间，有兴趣就请联系我们。
Gen Z and the marketplaces - let's translate their needs
The product workshop focused on exploring the requirements of Generation Z in relation to marketplace dynamics. We delved into their specific needs, examined the specifics in their shopping preferences, and analyzed their preferred methods for accessing information and making purchases within a marketplace. Through the study of real-life cases , we tried to gain valuable insights into enhancing the marketplace experience for Generation Z.
The workshop was held on the DMA Conference in Vienna June 2024.
不能毕业如何获得(USYD毕业证)悉尼大学毕业证成绩单一比一原版制作
挂科购买☀【悉尼大学毕业证购买】【微信176555708】【USYD毕业证模板办理】加拿大文凭、本科、硕士、研究生学历都可以做,二、业务范围：
★、全套服务：毕业证、成绩单、化学专业毕业证书伪造【悉尼大学大学毕业证】微信176555708【USYD学位证书购买】◆◆◆◆◆ — — — 归国服务中心 — — -◆◆◆◆◆
【主营项目】
一.毕业证、成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
国外毕业证、学位证、成绩单办理流程：
1、客户提供办理信息：姓名、生日、专业、学位、毕业时间等（如信息不确定可以咨询顾问：【微信176555708】我们有专业老师帮你查询）；
2、开始安排制作毕业证、成绩单电子图；
3、毕业证、成绩单电子版做好以后发送给您确认；
4、毕业证、成绩单电子版您确认信息无误之后安排制作成品；
5、成品做好拍照或者视频给您确认；
6、快递给客户（国内顺丰，国外DHL、UPS等快读邮寄）。
专业服务，请勿犹豫联系我！本公司是留学创业和海归创业者们的桥梁。一次办理，终生受用，一步到位，高效服务。详情请在线咨询办理,欢迎有诚意办理的客户咨询!洽谈。
◆招聘代理：本公司诚聘英国、加拿大、澳洲、新西兰、加拿大、法国、德国、新加坡各地代理人员，如果你有业余时间，有兴趣就请联系我们咨询【微信176555708】
没文凭怎么找工作。让您回国发展信心十足！
★、真实教育部学历学位认证；（一对一专业服务，可全程监控跟踪进度）
★、真实使馆认证，可以通过大使馆查询确认；（即教育部留服认证，不成功不收费）
★、毕业证、成绩单等材料，从防伪到印刷、水印到钢印烫金，高精仿度都是跟学校原版100%相同的；（敬请放心使用）
★、可以提供钢印、水印、烫金、激光防伪、凹凸版、最新版的毕业证、百分之百让您绝对满意、
★、印刷，DHL快递毕业证、成绩单7个工作日，真实大使馆教育部认证1个月。为了达到高水准高效率。
成绩单ps(UST毕业证)圣托马斯大学毕业证成绩单快速办理
一比一原版制作UST毕业证【微信176555708】圣托马斯大学毕业证书原版↑制作圣托马斯大学学历认证文凭办理圣托马斯大学留信网认证,留学回国办理毕业证成绩单文凭学历认证【微信176555708】专业为海外学子办理毕业证成绩单、文凭制作，学历仿制，回国人员证明、做文凭，研究生、本科、硕士学历认证、留信认证、结业证、学位证书样本、美国教育部认证百分百真实存档可查】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
◆◆◆◆◆ — — — — — — — — 【留学教育】留学归国服务中心 — — — — — -◆◆◆◆◆
【主营项目】
一.毕业证【微信：176555708】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【微信：176555708】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分→ 【关于价格问题（保证一手价格）
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
学历顾问：微信：176555708
Understanding User Behavior with Google Analytics.pdf
Unlocking the full potential of Google Analytics is crucial for understanding and optimizing your website’s performance. This guide dives deep into the essential aspects of Google Analytics, from analyzing traffic sources to understanding user demographics and tracking user engagement.
Traffic Sources Analysis:
Discover where your website traffic originates. By examining the Acquisition section, you can identify whether visitors come from organic search, paid campaigns, direct visits, social media, or referral links. This knowledge helps in refining marketing strategies and optimizing resource allocation.
User Demographics Insights:
Gain a comprehensive view of your audience by exploring demographic data in the Audience section. Understand age, gender, and interests to tailor your marketing strategies effectively. Leverage this information to create personalized content and improve user engagement and conversion rates.
Tracking User Engagement:
Learn how to measure user interaction with your site through key metrics like bounce rate, average session duration, and pages per session. Enhance user experience by analyzing engagement metrics and implementing strategies to keep visitors engaged.
Conversion Rate Optimization:
Understand the importance of conversion rates and how to track them using Google Analytics. Set up Goals, analyze conversion funnels, segment your audience, and employ A/B testing to optimize your website for higher conversions. Utilize ecommerce tracking and multi-channel funnels for a detailed view of your sales performance and marketing channel contributions.
Custom Reports and Dashboards:
Create custom reports and dashboards to visualize and interpret data relevant to your business goals. Use advanced filters, segments, and visualization options to gain deeper insights. Incorporate custom dimensions and metrics for tailored data analysis. Integrate external data sources to enrich your analytics and make well-informed decisions.
This guide is designed to help you harness the power of Google Analytics for making data-driven decisions that enhance website performance and achieve your digital marketing objectives. Whether you are looking to improve SEO, refine your social media strategy, or boost conversion rates, understanding and utilizing Google Analytics is essential for your success.
假文凭国外(Adelaide毕业证)澳大利亚国立大学毕业证成绩单办理
购买澳大利亚国立大学毕业证>【微信176555708】办理澳大利亚国立大学毕业证成绩单【微信176555708】Adelaide毕业证成绩单Adelaide学历证书Adelaide文凭【Adelaide毕业套号文凭网认证澳大利亚国立大学毕业证成绩单】【哪里买澳大利亚国立大学毕业证文凭Adelaide成绩学校快递邮寄信封】【开版澳大利亚国立大学文凭】Adelaide留信认证本科硕士学历认证(诚招代理)微信：176555708办理国外高校毕业证成绩单文凭学位证,真实使馆公证（留学回国人员证明）真实留信网认证国外学历学位认证雅思代考国外学校代申请名校保录开请假条改GPA改成绩ID卡
1.高仿业务:【本科硕士】毕业证,成绩单（GPA修改）,学历认证（教育部认证）,大学Offer,,ID,留信认证,使馆认证,雅思,语言证书等高仿类证书；
2.认证服务: 学历认证（教育部认证）,大使馆认证（回国人员证明）,留信认证（可查有编号证书）,大学保录取,雅思保分成绩单。
3.技术服务：钢印水印烫金激光防伪凹凸版设计印刷激凸温感光标底纹镭射速度快。
办理澳大利亚国立大学澳大利亚国立大学毕业证成绩单流程：
1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：我们有专业老师帮你查询）；
2开始安排制作毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）
-办理真实使馆公证（即留学回国人员证明）
-办理各国各大学文凭（世界名校一对一专业服务,可全程监控跟踪进度）
-全套服务：毕业证成绩单真实使馆公证真实教育部认证。让您回国发展信心十足！
（详情请加一下 文凭顾问+微信:176555708）欢迎咨询！
Bridging the Digital Gap Brad Spiegel Macon, GA Initiative.pptx
Brad Spiegel Macon GA’s journey exemplifies the profound impact that one individual can have on their community. Through his unwavering dedication to digital inclusion, he’s not only bridging the gap in Macon but also setting an example for others to follow.
重新申请毕业证书(RMIT毕业证)皇家墨尔本理工大学毕业证成绩单精仿办理
不能毕业办理【RMIT毕业证【微信176555708】皇家墨尔本理工大学文凭学历】【微信176555708】【皇家墨尔本理工大学文凭学历证书】【皇家墨尔本理工大学毕业证书与成绩单样本图片】毕业证书补办 Fake Degree做学费单【毕业证明信-推荐信】成绩单，录取通知书，Offer，在读证明，雅思托福成绩单，真实大使馆教育部认证，回国人员证明，留信网认证。网上存档永久可查！全套服务：皇家墨尔本理工大学皇家墨尔本理工大学本科学位证成绩单真实回国人员证明 #真实教育部认证。让您回国发展信心十足#铸就十年品质！信誉！实体公司！可以视频看办公环境样板如需办理真实可查可以先到公司面谈勿轻信小中介黑作坊！
可以提供皇家墨尔本理工大学钢印 #水印 #烫金 #激光防伪 #凹凸版 #最新版的毕业证 #百分之百让您绝对满意
印刷DHL快递毕业证 #成绩单7个工作日真实大使馆教育部认证1个月。为了达到高水准高效率
请您先以qq或微信的方式对我们的服务进行了解后如果有皇家墨尔本理工大学皇家墨尔本理工大学本科学位证成绩单帮助再进行电话咨询。
国外毕业证学位证成绩单如何办理：
1客户提供办理信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：我们有专业老师帮你查询）；
2开始安排制作皇家墨尔本理工大学毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）。
APNIC Foundation, presented by Ellisha Heppner at the PNG DNS Forum 2024
Ellisha Heppner, Grant Management Lead, presented an update on APNIC Foundation to the PNG DNS Forum held from 6 to 10 May, 2024 in Port Moresby, Papua New Guinea.
可查真实(Monash毕业证)西澳大学毕业证成绩单退学买
办理假西澳大学毕业证【微信176555708】购买,办理Monash成绩单,Monash毕业证制作【微信176555708】【西澳大学毕业证】，Monash毕业证购买，Monash学位证，西澳大学学位证【Monash成绩单制作】【Monash毕业证文凭 Monash本科 澳洲学历认证原版制作【diploma certificate degree transcript 】【留信网认证，本科，硕士，海归，博士，排名，成绩单】代办国外（海外）澳洲、韩国、加拿大、新西兰等各大学毕业证。 ?我们对海外大学及学院的毕业证成绩单所使用的材料，尺寸大小，防伪结构（包括：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。 文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）都有原版本文凭对照。#一整套西澳大学文凭证件办理#—包含西澳大学西澳大学毕业证成绩单学历认证|使馆认证|归国人员证明|教育部认证|留信网认证永远存档教育部学历学位认证查询办理国外文凭国外学历学位认证#我们提供全套办理服务。
一整套留学文凭证件服务：
一：西澳大学西澳大学毕业证成绩单毕业证 #成绩单等全套材料从防伪到印刷水印底纹到钢印烫金
二：真实使馆认证（留学人员回国证明）使馆存档
三：真实教育部认证教育部存档教育部留服网站永久可查
四：留信认证留学生信息网站永久可查
国外毕业证学位证成绩单办理方法：
1客户提供办理西澳大学西澳大学毕业证成绩单信息：姓名生日专业学位毕业时间等（如信息不确定可以咨询顾问：我们有专业老师帮你查询）；
2开始安排制作毕业证成绩单电子图；
3毕业证成绩单电子版做好以后发送给您确认；
4毕业证成绩单电子版您确认信息无误之后安排制作成品；
5成品做好拍照或者视频给您确认；
6快递给客户（国内顺丰国外DHLUPS等快读邮寄）。
教育部文凭学历认证认证的用途：
如果您计划在国内发展那么办理国内教育部认证是必不可少的。事业性用人单位如银行国企公务员在您应聘时都会需要您提供这个认证。其他私营 #外企企业无需提供！办理教育部认证所需资料众多且烦琐所有材料您都必须提供原件我们凭借丰富的经验帮您快速整合材料让您少走弯路。
实体公司专业为您服务如有需要请联系我: 微信176555708
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Gen Z and the marketplaces - let's translate their needs
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Bridging the Digital Gap Brad Spiegel Macon, GA Initiative.pptx
APNIC Foundation, presented by Ellisha Heppner at the PNG DNS Forum 2024
APNIC Foundation, presented by Ellisha Heppner at the PNG DNS Forum 2024
context free grammars_simplification
- 1. Costas Busch - LSU 1 Simplifications of Context-Free Grammars
- 2. Costas Busch - LSU 2 A Substitution Rule bB aAB abBcA aaAA aBS Substitute Equivalent grammar aAB abbcabBcA aaAA abaBS | | bB
- 3. Costas Busch - LSU 3 Equivalent grammarabaAcabbcabBcA aaAA aaAabaBS || || aAB abbcabBcA aaAA abaBS | | Substitute aAB
- 4. Costas Busch - LSU 4 In general: 1yB xBzA Substitute zxyxBzA 1| equivalent grammar 1yB
- 5. Costas Busch - LSU 5 Nullable Variables :production X Nullable Variable: Y Example: M aMbM aMbS Nullable variable production
- 6. Costas Busch - LSU 6 M M aMbM aMbS Substitute abaMbM abaMbS | | Removing sproduction After we remove all the all the nullable variables disappear (except for the start variable) sproduction
- 7. Costas Busch - LSU 7 Unit-Productions YX Unit Production: (a single variable in both sides) bbB AB BA aA aAS Example: Unit Productions
- 8. Costas Busch - LSU 8 bbB AB BA aA aAS Substitute BA bbB BAB aA aBaAS | | Removal of unit productions:
- 9. Costas Busch - LSU 9 Remove bbB BAB aA aBaAS | | bbB AB aA aBaAS | BB XX can be removed immediately Unit productions of form
- 10. Costas Busch - LSU 10 Substitute AB bbB aA aAaBaAS || bbB AB aA aBaAS |
- 11. Costas Busch - LSU 11 Remove repeated productions bbB aA aBaAS | bbB aA aAaBaAS || Final grammar
- 12. Costas Busch - LSU 12 Useless Productions aAA AS S aSbS aAaaaaAaAAS Some derivations never terminate... Useless Production
- 13. Costas Busch - LSU 13 bAB A aAA AS Another grammar: Not reachable from S Useless Production
- 14. Costas Busch - LSU 14 In general: If there is a derivation )(GLwxAyS Then variable is usefulA Otherwise, variable is uselessA consists of terminals
- 15. Costas Busch - LSU 15 A production is useless if any of its variables is useless xA DC CB aAA AS S aSbS Productions useless useless useless useless Variables useless useless useless
- 16. Costas Busch - LSU 16 Example Grammar: aCbC aaB aA CAaSS || Removing Useless Variables and Productions
- 17. Costas Busch - LSU 17 First: find all variables that can produce strings with only terminals or aCbC aaB aA CAaSS || },{ BA },,{ SBA Round 1: Round 2: (possible useful variables) (the right hand side of production that has only terminals) (the right hand side of a production has terminals and variables of previous round) This process can be generalized
- 18. Costas Busch - LSU 18 Then, remove productions that use variables other than aCbC aaB aA CAaSS || },,{ SBA aaB aA AaSS |
- 19. Costas Busch - LSU 19 Second: Find all variables reachable from aaB aA AaSS | S A B Use a Dependency Graph where nodes are variables unreachable S
- 20. Costas Busch - LSU 20 Keep only the variables reachable from S aaB aA AaSS | aA AaSS | Final Grammar Contains only useful variables
- 21. Costas Busch - LSU 21 Removing All Step 1: Remove Nullable Variables Step 2: Remove Unit-Productions Step 3: Remove Useless Variables This sequence guarantees that unwanted variables and productions are removed