Range concatenation grammar (RCG) is a formal grammar framework that extends the capabilities of context-free grammars by allowing for the definition of languages through a more flexible concatenation operation. Specifically, RCG can be used to describe structured data and relationships in a way that traditional context-free grammars cannot.
SCIgen is a program developed by researchers at the Massachusetts Institute of Technology (MIT) that generates random computer science research papers. It uses a context-free grammar to create nonsensical text that resembles scholarly articles, complete with sections like abstract, introduction, methodology, and references. The goal of SCIgen is satirical; it highlights the issues of low-quality research and the sometimes absurd nature of publishing practices in academia.
Simple precedence grammar is a type of context-free grammar that is specifically designed for defining the syntax of programming languages, particularly with regard to operator precedence and associativity. This form of grammar is useful for parsing expressions that involve operators with different levels of precedence (e.g., multiplication vs. addition) and determining how expressions should be evaluated based on those rules.
The Star Height Problem is a concept from formal language theory, particularly related to the study of regular languages and their representations using finite automata and regular expressions. It focuses on the notion of "star height," which measures the complexity of regular expressions based on the use of the Kleene star operation. ### Definition The star height of a regular expression is defined as the maximum nested depth of the Kleene star operation (*) in the expression.
Top-down parsing is a method of syntax analysis in the field of compiler design and programming language processing. In top-down parsing, the parser starts from the highest-level rule (typically the starting symbol of the grammar for the given language) and works its way down to the terminal symbols (the actual tokens in the input string). It essentially tries to construct a parse tree from the root down to the leaves.
The unary numeral system is the simplest numeral system in which each natural number is represented by a corresponding number of symbols or marks, typically ones. In unary, the number \( n \) is represented by \( n \) occurrences of a single symbol, which is usually a vertical line (|) or a dot (•).
Logic conferences refer to academic gatherings focused on the study and advancement of logic, which is a fundamental area in mathematics, philosophy, computer science, and related fields. These conferences often bring together researchers, educators, and students to present their findings, share ideas, and discuss current trends in various subfields of logic, such as: 1. **Mathematical Logic**: Including model theory, set theory, proof theory, and recursion theory.
Logic programming is a programming paradigm that is based on formal logic. In this paradigm, programs are expressed in terms of relations, represented as facts and rules, rather than through imperative commands that explicitly detail a sequence of operations. The central concept in logic programming is that of a logical statement, which can be expressed in terms of predicates and logical connectives.
A Horn clause is a special type of logical expression used in propositional logic and predicate logic that has important applications in computer science, particularly in logic programming and automated theorem proving. A Horn clause is defined as a disjunction of literals (which can be either a positive or negative atomic proposition) with at most one positive literal.
The Boolean satisfiability problem (SAT) is a fundamental problem in computer science and mathematical logic. It involves determining whether there exists an assignment of truth values (true or false) to a set of Boolean variables such that a given Boolean formula evaluates to true. A Boolean formula is typically expressed in conjunctive normal form (CNF), which is a conjunction (AND) of one or more clauses, where each clause is a disjunction (OR) of literals.
The Combs method, also known as the "Shell sort" or "Comb sort," is an algorithm used for sorting a list of items. It is an improvement over the classic bubble sort and is designed to overcome the inefficiencies of simple sorting algorithms by eliminating small values near the end of the list.
Intuitionistic logic is a form of modal logic that emphasizes the constructive aspects of mathematical reasoning. It was developed in the early 20th century primarily by mathematician L.E.J. Brouwer, and further formalized by others such as Arend Heyting. This type of logic is rooted in the philosophical belief that mathematical truths are not simply discovered but constructed.
Logic optimization refers to the process of simplifying and refining a logic circuit or system to improve its performance, efficiency, and resource utilization. This process is important in various fields such as digital circuit design, software engineering, and computer architecture. The main goals of logic optimization include: 1. **Reduction of Complexity**: Simplifying the logic expressions or circuits can lead to fewer gates and components, which reduces manufacturing costs and power consumption.
ΛProlog is a logic programming language that extends Prolog by adding features for the representation and manipulation of higher-order logic. Its name, pronounced "lambda Prolog," reflects its foundations in lambda calculus, which allows for more expressive and powerful programming constructs compared to traditional Prolog. Key features of ΛProlog include: 1. **Higher-Order Logic**: Unlike standard Prolog, which primarily deals with first-order logic, ΛProlog supports higher-order predicates and functions.
Aldous Huxley (1894–1963) was a British writer and philosopher best known for his novels, essays, and critiques of society. He is perhaps most famous for his dystopian novel "Brave New World," published in 1932, which explores themes of technological control, consumerism, and loss of individuality in a future society.
Consciousness researchers and theorists are individuals who study the nature, properties, and mechanisms of consciousness—one of the most complex and intriguing aspects of the human experience. Their work spans various disciplines, including psychology, neuroscience, philosophy, cognitive science, and artificial intelligence. Here are some key aspects of their work and areas of interest: ### 1.
Ann-Sophie Barwich is known as a scientist and philosopher who specializes in the fields of cognitive science and philosophy of mind. She has explored topics related to perception, cognition, and the nature of consciousness. Barwich is particularly recognized for her interdisciplinary approach, bridging insights from neuroscience, philosophy, and even artificial intelligence.
Anthony Beavers is a prominent figure in the field of philosophy, particularly known for his work in the areas of philosophy of mind, cognition, and cognitive science. He has contributed significantly to discussions about consciousness, artificial intelligence, and the implications of technology on human cognition. In addition to his academic work, Beavers may also refer to various individuals or entities in different contexts, such as an author, researcher, or a character in literature or media.
Brie Gertler is likely known for her contributions to philosophy, particularly in the fields of philosophy of mind, cognitive science, and metaphysics. She has contributed to discussions on topics such as consciousness, perception, and the nature of representation.
Carlo Michelstaedter (1887–1910) was an Italian philosopher, poet, and writer. He is best known for his philosophical work, particularly his only book, "Persuasion and Rhetoric," which expresses his existential concerns and explores themes of life, death, and the human condition. The book reflects Michelstaedter's belief that true meaning in life comes from a deep personal conviction and existential authenticity, contrasting with the superficiality he perceived in society.
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact