State space enumeration is a systematic method used in various fields, particularly in computer science, operations research, and artificial intelligence, to explore all possible configurations or states of a system to find solutions to a problem, optimize performance, or evaluate options. The concept relies on the idea that a problem can be represented by a "state space," which is a collection of all possible states that the system can occupy, along with the transitions between those states.
The Symposium on Logic in Computer Science (LICS) is an academic conference that focuses on the interplay between logic and computer science. It serves as a forum for researchers and practitioners to present and discuss advances in the areas where logic and computer science intersect. This includes, but is not limited to, topics such as formal methods, model checking, verification, computational logic, logic programming, and the semantics of programming languages.
HOL (Higher-Order Logic) is a family of proof assistants that are based on the higher-order logic formalism. One of the most prominent members of this family is HOL4, but there are also others, like HOL Light and Isabelle/HOL, which share similar principles but may differ in implementation and features.
Hennessy-Milner logic is a modal logic used for specifying and reasoning about the behaviors of concurrent systems. It is particularly aimed at modeling the properties of systems that can exhibit different behaviors based on their state and the actions they can perform. The logic is named after Michael Hennessy and Robin Milner, who developed it in the context of studying process calculi, specifically for characterizing the behavior of processes in terms of their interactions and communication.
The Herbrand Award is a prestigious recognition in the field of automated reasoning and logic programming, named after the French mathematician and logician Jacques Herbrand. It is awarded annually at the International Conference on Logic Programming (ICLP) to individuals or teams for their outstanding contributions to the field.
Interference freedom refers to conditions under which systems or processes operate without unwanted interference from external or internal sources. This concept can be applied across various fields, including telecommunications, electronics, and even social sciences. In telecommunications and networking, interference freedom often relates to the ability to transmit signals without degradation or distortion caused by competing signals or noise from other devices. Techniques such as frequency hopping, spread spectrum, or multiple access protocols help achieve interference-free communication.
The Journal of Logic and Computation is an academic journal that focuses on the intersection of logic, computer science, and mathematics. It publishes high-quality research articles that explore various topics including, but not limited to, mathematical logic, computational logic, formal methods, algorithms, and theoretical computer science. The journal serves as a platform for researchers to disseminate their findings on how logical methods can be applied to computational problems, as well as how computational techniques can enhance the understanding of logic.
Logic for Computable Functions typically refers to a branch of mathematical logic and computer science that deals with the formalization, study, and application of computation through logical frameworks. This area encompasses various topics, including: 1. **Computability Theory**: This is the study of what functions can be computed and what problems can be decided by algorithms. It involves concepts such as Turing machines, recursive functions, and the Church-Turing thesis.
The Nyāya Sūtras are a foundational text of Indian philosophy, particularly associated with the Nyāya school of thought, which is one of the six orthodox (āstika) schools of Hindu philosophy. Attributed to the philosopher Gautama (also known as Akṣapāda), the Nyāya Sūtras are composed in sūtra (aphoristic) form and date back to around the second century BCE.
A Logical Framework, often referred to as a Logframe, is a project management tool used primarily in the planning, implementation, and evaluation of projects. It helps project managers and stakeholders define the objectives of a project, identify the necessary resources, and create a clear structure for monitoring and evaluation. The Logframe provides a systematic approach to project design and facilitates communication among project stakeholders.
The Maximum Satisfiability Problem (Max-SAT) is an optimization variant of the Boolean satisfiability problem (SAT). In the standard SAT problem, the goal is to determine whether there exists an assignment of truth values (true or false) to a set of variables such that a given Boolean formula evaluates to true.
The raised fist is a symbol that has been used to represent solidarity, resistance, and strength in various social and political movements. Its origins can be traced back to labor movements in the early 20th century, but it gained widespread recognition during the civil rights movement and later within the Black Power movement in the United States during the 1960s and 1970s. The gesture is often associated with advocating for social justice, civil rights, and anti-racism.
Model checking is a formal verification technique used in computer science and systems engineering to systematically explore the states of a finite system model to verify whether certain properties hold. It is often applied to hardware and software systems, where the goal is to ensure that the system behaves correctly under all possible scenarios. Key components of model checking include: 1. **Model**: The system being verified is represented as a mathematical model. This model typically captures the system's states, transitions, and behaviors.
Model elimination is a strategy used in automated theorem proving, particularly within the context of first-order logic. It is a refutation-based approach that aims to establish the unsatisfiability of a set of clauses, thus proving the validity of a given statement. The key components of model elimination are: 1. **Refutation**: The objective is to show that a contradiction can be derived from a set of premises and a negation of the statement to be proved.
The Multi-Agent Programming Contest (MAPC) is an annual competition focused on the development of intelligent agents that can interact in a simulated environment. The contest typically attracts participants from various fields, including artificial intelligence, computer science, and robotics. In the contest, teams design and implement software agents that work autonomously or collaboratively to achieve specific goals within a predefined set of rules and objectives. Participants must navigate challenges related to decision-making, coordination, communication, and competition or cooperation with other agents.
Boolean algebra is a branch of mathematics that deals with variables that have two possible values: typically represented as true (1) and false (0). It was introduced by mathematician George Boole in the mid-19th century and serves as a foundational structure in fields such as computer science, electrical engineering, and logic. ### Basic Structure of Boolean Algebra: 1. **Elements**: The elements of Boolean algebra are single bits (binary variables) that can take values of true or false.
Noise-based logic is an emerging paradigm in computing that takes advantage of noise—a seemingly random or chaotic signal—in systems to perform computations. Unlike traditional computing, which relies on precise and stable signals (like binary 0s and 1s in Boolean logic), noise-based logic operates on the principles of stochastic processes. This approach can utilize small variations or noise in physical systems to represent information and perform logical operations.
A postcondition is a specific condition or set of conditions that must be true after the execution of a particular operation, function, or block of code. It is part of programming and formal verification practices, particularly within the context of software development and design by contract. In a contract-based programming model, a method or function is described with three main components: 1. **Preconditions**: Conditions that must be true before the function is executed.
Preferential entailment is a concept in non-monotonic logic and reasoning, which deals with situations where certain conclusions can be drawn based on a set of premises, but these conclusions may not hold if additional information is added. It contrasts with classical logic, where the conclusions drawn from a set of premises are considered definitive and immutable. In preferential entailment, the idea is that certain models or interpretations of the knowledge may be preferred over others based on specific criteria.
Proof complexity is a field of computational complexity theory that studies the resources required to prove statements in formal systems. It focuses on understanding the efficiency and limitations of formal proofs, particularly in relation to various proof systems, such as propositional logic, first-order logic, and more advanced logics. Key aspects of proof complexity include: 1. **Proof Length**: One of the primary metrics in proof complexity is the length of proofs.
Pinned article: 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