The importance of mathematical logic schemes in artificial intelligence

Аннотация

This аrticle аnаlyzes the impоrtаnce оf lоgic circuits in аrtificiаl intelligence systems аnd their аpplicаtiоn in vаriоus fields. Infоrmаtiоn is prоvided оn the principles оf оperаtiоn, structure аnd implementаtiоn stаges оf lоgic circuits in аrtificiаl intelligence. Exаmples оf increаsing the efficiency оf lоgic circuits in аrtificiаl intelligence systems аnd their аpplicаtiоn in reаl life аre given. Keywords: Аrtificiаl intelligence, mаthemаtics, lоgic, reаsоning, lоgicаl schemа, аlgоrithms, mоdels, decisiоn tree, Bаyesiаn netwоrk, Neurаl netwоrk, decisiоn mаking, prаcticаl exаmples. Introduction: Decree of the President of the Republic psychology, mathematics, biology, and engineering to of Uzbekistan Sh. Mirziyoyev: “On additional measures create computers that can think based on new to improve the quality of education in higher education information, react like humans, and change their institutions and ensure their active participation in behavior. large-scale reforms being implemented in the country” The importance of mathematics in artificial intelligence No. PQ-3775 dated June 5, 2018, “Measures to improve systems - algorithms use mathematical models and the quality of education in mathematics and develop calculations used in machine learning, so artificial scientific research in the field of mathematics” dated intelligence systems can automatically improve over May 7, 2020 The application of mathematical time based on feedback from the environment. considerations to artificial intelligence is of great Artificial intelligence (AI) is actively used today in importance in the economic, social, and technical and various fields of science, technology, and everyday life. technological development of our country, in fulfilling The effectiveness of AI systems depends on their the tasks set forth in Resolutions No. PQ-4708 and No. decision-making ability, which is embodied in logical PQ-4996 of February 17, 2021, “On measures to create schemes. Logical schemes play an important role in conditions for the accelerated introduction of artificial various models of artificial intelligence, and their intelligence technologies”. Mathematics provides the correct operation ensures the reliability and efficiency foundation that allows artificial intelligence systems to of AI systems. learn, reason, and make intelligent decisions. METHODS Mathematics serves as the basis for artificial intelligence algorithms and models, which allow Mathematical logic is the laws, methods, and formulas machines to process, analyze, and interpret large (forms) of reasoning, and its founder is considered to amounts of data. be the ancient Greek thinker Aristotle (384-322 before christ). Artificial intelligence is the development and operation of intelligent machines, drawing on many fields such as A mathematical statement is a statement that can only accept one of two possible outcomes: “a certain event” American Journal of Applied Science and Technology 36 https://theusajournals.com/index.php/ajast American Journal of Applied Science and Technology (ISSN: 2771-2745) or “an impossible (impossible) event”. Bayesian networks are logic circuits used in artificial intelligence systems for decision-making under A logic diagram is a set of formal rules, logical uncertainty and probabilistic analysis. They represent expressions, and algorithms used to solve a specific relationships between random variables in a graphical problem or make a decision. It is used to control the form and operate on the basis of Bayes' rule. processes of processing, analyzing, and drawing conclusions from information. Neural networks are a model used in artificial intelligence systems to solve complex problems based A number of scientists have conducted important on logical circuits, based on the principle of processing scientific research in the field of logical schemes (or information, similar to the neurons of the human brain. logical systems) in artificial intelligence. For example: They play an important role in analyzing, learning, and John McCarthy – Considered one of the founders of the predicting large amounts of data. field of artificial intelligence, McCarthy has done Examples. We present some practical examples from extensive research on logical schemes and formal various areas of artificial intelligence, including systems. His work “Programs with Common Sense” processing data into logical circuits, decision-making, (1959) explores the basic principles of logical reasoning and creating automated systems. in artificial intelligence; Example 1. In medicine, AI-based diagnostic systems Alan Newell and Herbert Simon - together these use logic circuits to identify patients’ symptoms. For scientists developed a programming system called example, if a patient has a high temperature, cough, “General Problem Solver” (1959), which learned to and difficulty breathing, the logic circuit considers the solve problems using logical rules. possibility of COVID-19 or a l