Answer set programming (ASP) is a declarative language tailored towards solving combinatorial optimization problems. It has been successfully applied to e.g. planning problems, configuration and verification of software, diagnosis and database repairs. However, ASP is not directly suitable for modeling problems with continuous domains. Such problems occur naturally in diverse fields such as the design of gas and electricity networks, computer vision and investment portfolios. To overcome this problem we study FASP, a combination of ASP with fuzzy logic -- a class of manyvalued logics that can handle continuity. We specifically focus on the following issues: 1. An important question when modeling continuous optimization problems is how we should handle overconstrained problems, i.e. problems that have no solutions. In many cases we can opt to accept an imperfect solution, i.e. a solution that does not satisfy all the stated rules (constraints). However, this leads to the question: what imperfect solutions should we choose? We investigate this question and improve upon the state-of-the-art by proposing an approach based on aggregation functions. 2. Users of a programming language often want a rich language that is easy to model in. However, implementers and theoreticians prefer a small language that is easy to implement and reason about. We create a bridge between these two desires by proposing a small core language for FASP and by showing that this language is capable of expressing many of its common extensions such as constraints, monotonically decreasing functions, aggregators, S-implicators and classical negation. 3. A well-known technique for solving ASP consists of translating a program P to a propositional theory whose models exactly correspond to the answer sets of P. We show how this technique can be generalized to FASP, paving the way to implement efficient fuzzy answer set solvers that can take advantage of existing fuzzy reasoners.
This book is packed with practice questions for GCSE Chemistry students. It covers the major topics for the AQA, Edexcel and OCR exams with a range of exercises that test what you know and how well you can apply your knowledge. The answers are in the back of the book so you can easily check your work and find out where you're going wrong. Matching study notes and explanations are also available in the CGP Revision Guide (9781841466408).
This book is packed with practice questions for GCSE Physics students. It covers the major topics for the AQA, Edexcel and OCR exams with a range of exercises that test what you know and how well you can apply your knowledge. The answers are in the back of the book so you can easily check your work and find out where you're going wrong. Matching study notes and explanations are also available in the CGP Revision Guide (9781841466415).
This is a Devotional Book on relationships. Love and forgiveness are what should be in relationships, and putting God first, and keeping Him as our most important relationship. He is amazing and loves His children. Colossians 3:13 "13 bearing with one another, and forgiving each other, whoever has a compliant against anyone; just as the Lord forgave you, so also should you." 1 Corinthians 13:4-7. "4 Love is patient, love is kind, and is not jealous; love does not brag and is not arrogant, 5 does not act unbecomingly; it does not seek its own, is not provoked, does not take into account a wrong suffered, 6 does not rejoice in unrighteousness, but rejoices with the truth; 7 bears all things, believes all things, hopes all things, endures all things."
The I Love to Learn series is a fantastic set of educational workbooks designed to make learning fun!
Developed in conjunction with experienced consultants, the books tie in completely with the way English and Math are taught in Preschool, Kindergarten, and First Grade. The workbooks support children's learning while entertaining them with fun activities. Children will enjoy completing the activities and using the fun stickers. Parents and children can track their progress using the reward chart and colorful sticker stars. Each book also contains a fold-out game for children and parents to play together.
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