Collaborative Research on Semantic Unification and its Applications

提案#0098114Kupar，Deepak墨西哥大学语义统一已经有效地应用于逻辑、计算机科学、人工智能和认知科学的许多子领域，其最流行的用途是在解析、逻辑编程语言（如Prolog）和编程语言ML中的类型推理机制中。语义统一（结合-交换统一）在解决数学中的开放性问题中发挥了关键作用（例如，1996年McCune使用定理证明器EQP提出的关于布尔代数的罗宾斯猜想）。近年来，语义统一在密码学分析、知识表示和分布式计算等领域也得到了广泛的应用，本项目是语义统一理论研究的继续，也是语义统一算法的设计、开发和实现。本研究的动机是结合Catherine Meadows在NRL上的工作，将语义统一在密码协议分析中的新应用（海军研究实验室）协议分析器，在知识表示和描述逻辑，归纳定理证明，和进程代数。新的统一算法将首先开发和实验使用统一的，一个工具正在开发中的纽约州立大学，奥尔巴尼，最终的目标是将它们集成到应用软件中，NRL协议分析器和基于重写的归纳定理证明器RRL（重写规则实验室），用于上面讨论的应用程序。该奖项是合作研究团队的三个奖项之一。 这三个奖项是CCR-0098114（迪帕克卡普尔，U新墨西哥州），CCR-0098270（克里斯托弗林奇，克拉克森U）和CCR-0098095（帕利亚斯纳伦德兰，纽约州立大学奥尔巴尼）。

Proposal #0098114Kupar, DeepakUniversity of MexicoSemantic unification has been effectively employed in many subfields of logic, computer science, artificial intelligence and cognitive science, with its most popular use being in resolution, logic programming languages such as Prolog, and the type inference mechanism in the programming language ML. Semantic unification (associative-commutative unification) played a pivotal role in settling open questions in mathematics (e.g. Robbins' conjecture about boolean algebra in 1996 by McCune using the theorem prover EQP). Recently, semantic unification has been found useful also in cryptographic analysis, knowledge representation and distributed computing.This project will be a continuation of research on the theory of semantic unification as well as the design, development and implementation of semantic unification algorithms. This research will be motivated by new applications of semantic unification in cryptographic protocol analysis in conjunction with Catherine Meadows' work on the NRL (Naval Research Laboratory) Protocol Analyzer, in knowledge representation and description logics, induction theorem proving, and process algebra.The new unification algorithms will be first developed and experimented using the Unification Workbench, a tool under development at SUNY, Albany, with the eventual goal of integrating them into application software, the NRL Protocol Analyzer and a rewrite-based induction theorem prover RRL (Rewrite Rule Laboratory) for use in the applications discussed above.This award is one of three in a collaborative research team. The three awards are CCR-0098114 (Deepak Kapur, U New Mexico), CCR-0098270 (Christopher Lynch, Clarkson U), and CCR-0098095 (Paliath Narendran, SUNY Albany).