With this work, we introduce a novel method for the unsupervised learning of conceptual hierarchies, or concept maps as they are sometimes called, which is aimed specifically for use with literary texts, as such disti...With this work, we introduce a novel method for the unsupervised learning of conceptual hierarchies, or concept maps as they are sometimes called, which is aimed specifically for use with literary texts, as such distinguishing itself from the majority of research literature on the topic which is primarily focused on building ontologies from a vast array of different types of data sources, both structured and unstructured, to support various forms of AI, in particular, the Semantic Web as envisioned by Tim Berners-Lee. We first elaborate on mutually informing disciplines of philosophy and computer science, or more specifically the relationship between metaphysics, epistemology, ontology, computing and AI, followed by a technically in-depth discussion of DEBRA, our dependency tree based concept hierarchy constructor, which as its name alludes to, constructs a conceptual map in the form of a directed graph which illustrates the concepts, their respective relations, and the implied ontological structure of the concepts as encoded in the text, decoded with standard Python NLP libraries such as spaCy and NLTK. With this work we hope to both augment the Knowledge Representation literature with opportunities for intellectual advancement in AI with more intuitive, less analytical, and well-known forms of knowledge representation from the cognitive science community, as well as open up new areas of research between Computer Science and the Humanities with respect to the application of the latest in NLP tools and techniques upon literature of cultural significance, shedding light on existing methods of computation with respect to documents in semantic space that effectively allows for, at the very least, the comparison and evolution of texts through time, using vector space math.展开更多
A semantic interpretation of a first order extension of Hennessy-Milner logic for value-passing processes, named HML(FO), is presented. The semantics is based on symbolic transition graphs with assignment. It is shown...A semantic interpretation of a first order extension of Hennessy-Milner logic for value-passing processes, named HML(FO), is presented. The semantics is based on symbolic transition graphs with assignment. It is shown that the satisfiability of the two-variable sub-logic HML(FO2) of HML(FO) is decidable, and the complexity discussed. Finally, a decision procedure for model checking the value-passing processes with respect to HML(FO2) is obtained.展开更多
This paper resolved an open problem proposed by A .P. Stolboushkin and M .A. Taitslin. We studied the expressibility of first order dynamic logic, and constructed infinite recursive program classes K_1 , K_2, …, RG ...This paper resolved an open problem proposed by A .P. Stolboushkin and M .A. Taitslin. We studied the expressibility of first order dynamic logic, and constructed infinite recursive program classes K_1 , K_2, …, RG K_1 K_2 … RF, such that L (RG)<L (K_1)<L (K_2) < … < L (RF), where RG, RF are regular program class and finitely generated recursively enumerable program class respectively, and L (K) is the first order dynamic logic of program class K.展开更多
I. INTRODUCTION The exploration for a unified basis of the combinatory logic and the predicate calculus will promote laying a strict and thorough mathematical foundation of the programming language possessing itself o...I. INTRODUCTION The exploration for a unified basis of the combinatory logic and the predicate calculus will promote laying a strict and thorough mathematical foundation of the programming language possessing itself of the functional and logic paradigms. The purpose of this note, proceeding from the algebraic oersoective, is to formulize the first-order mathematical展开更多
文摘With this work, we introduce a novel method for the unsupervised learning of conceptual hierarchies, or concept maps as they are sometimes called, which is aimed specifically for use with literary texts, as such distinguishing itself from the majority of research literature on the topic which is primarily focused on building ontologies from a vast array of different types of data sources, both structured and unstructured, to support various forms of AI, in particular, the Semantic Web as envisioned by Tim Berners-Lee. We first elaborate on mutually informing disciplines of philosophy and computer science, or more specifically the relationship between metaphysics, epistemology, ontology, computing and AI, followed by a technically in-depth discussion of DEBRA, our dependency tree based concept hierarchy constructor, which as its name alludes to, constructs a conceptual map in the form of a directed graph which illustrates the concepts, their respective relations, and the implied ontological structure of the concepts as encoded in the text, decoded with standard Python NLP libraries such as spaCy and NLTK. With this work we hope to both augment the Knowledge Representation literature with opportunities for intellectual advancement in AI with more intuitive, less analytical, and well-known forms of knowledge representation from the cognitive science community, as well as open up new areas of research between Computer Science and the Humanities with respect to the application of the latest in NLP tools and techniques upon literature of cultural significance, shedding light on existing methods of computation with respect to documents in semantic space that effectively allows for, at the very least, the comparison and evolution of texts through time, using vector space math.
基金This work was partially supported by the National Natural Science Foundationof China (Grant No. 69833020) the National High Technology Development Program of China (Grant No. 2002AA144050)the National Grand Fundamental Research 973 Program of China
文摘A semantic interpretation of a first order extension of Hennessy-Milner logic for value-passing processes, named HML(FO), is presented. The semantics is based on symbolic transition graphs with assignment. It is shown that the satisfiability of the two-variable sub-logic HML(FO2) of HML(FO) is decidable, and the complexity discussed. Finally, a decision procedure for model checking the value-passing processes with respect to HML(FO2) is obtained.
基金Supported by HTP863 the fund of Beijing laboratory of cognitive science
文摘This paper resolved an open problem proposed by A .P. Stolboushkin and M .A. Taitslin. We studied the expressibility of first order dynamic logic, and constructed infinite recursive program classes K_1 , K_2, …, RG K_1 K_2 … RF, such that L (RG)<L (K_1)<L (K_2) < … < L (RF), where RG, RF are regular program class and finitely generated recursively enumerable program class respectively, and L (K) is the first order dynamic logic of program class K.
基金Project supported by the National High Technique Planning Foundation
文摘I. INTRODUCTION The exploration for a unified basis of the combinatory logic and the predicate calculus will promote laying a strict and thorough mathematical foundation of the programming language possessing itself of the functional and logic paradigms. The purpose of this note, proceeding from the algebraic oersoective, is to formulize the first-order mathematical
