Partitioned Nets, also known as Frame Systems or Semantic Nets with Frames, are an extension of Semantic Nets that introduce the concept of frames to provide a more structured and organized representation of knowledge. Frames allow for the grouping of related information and properties associated with a concept or object. In Partitioned Nets, knowledge is …
Semantic Nets, also known as Conceptual Graphs, are a knowledge representation formalism used in artificial intelligence and cognitive science. They provide a graphical representation of knowledge, capturing concepts, relationships, and propositions in a visual and intuitive manner. In a Semantic Net, knowledge is represented using nodes and arcs. Nodes represent concepts or objects, while arcs …
Knowledge representation is a field of study in artificial intelligence (AI) and cognitive science that focuses on how knowledge can be structured, organized, and encoded in a form suitable for computational processing. It involves creating formal frameworks and languages to represent knowledge in a way that enables reasoning, inference, and problem-solving. Effective knowledge representation is …
Logic programming is a programming paradigm that is based on formal logic. Prolog (Programming in Logic) is a widely used logic programming language. In Prolog, programs are written in terms of logical facts and rules, and computation is achieved through logical inference. Here are some key concepts and features of logic programming in Prolog: Facts: …
Resolution is a widely used inference rule in Predicate Logic (including FOPL) for proving the validity or satisfiability of a set of formulas. It is a proof technique that operates by resolving or combining clauses to derive new clauses until a contradiction is reached or no further resolutions are possible. The resolution rule in Predicate …
Semantic Tableaux, also known as Truth Trees, can be used as a proof technique in Predicate Logic (which includes FOPL) to determine the satisfiability or validity of a set of formulas. It is a systematic method that uses a tree-like structure to explore all possible interpretations of the formulas. The process of constructing a semantic …
FOPL stands for First-Order Predicate Logic, which is also known as First-Order Logic (FOL) or First-Order Logic with Identity. It is a formal system used in mathematical logic and computer science to reason about statements and relationships involving objects and properties. In FOPL, statements are represented using predicates, variables, quantifiers, and logical connectives. Predicates are …
Semantic Tableaux and Resolution are two important methods used in propositional logic to determine the validity or satisfiability of logical formulas. Let’s explore each method in more detail: Semantic Tableaux (also known as Truth Trees): Semantic Tableaux is a proof technique used to determine the satisfiability or validity of a logical formula in propositional logic. …
Semantic Tableaux and Resolution in Propositional Logic Read More »
Propositional logic, also known as propositional calculus or sentential logic, is a branch of formal logic that deals with propositions or statements, which are declarative sentences that can be either true or false. Propositional logic focuses on the analysis of truth values and the interplay between logical operators. Here are some key concepts in propositional …
Logic is one of the oldest intellectual disciplines in human history. It dates back to Aristotle. It has been studied through the centuries by people like Leibniz, Boole, Russell, Turing, and many others. And it is still a subject of active investigation today. We use Logic in just about everything we do. We use the …
