computational logic stanford
To this end, we look at a new type of reasoning, called induction. 0 This year's offering of CS 204 (Computational Law) has been cancelled. An extended model of natural logic Bill MacCartney and Christopher D. Manning The Eighth International Conference on Computational Semantics (IWCS … Okay. logical analysis of meaning in natural languages and computational processing thereof Chris Potts: Associate Professor, Linguistics semantics, pragmatics, and computational methods for linguistic research Vaughan Pratt: Professor (Emeritus), Computer Science foundations of concurrency, linear logic, Chu spaces, logics of geometry Overview of logic technology and its applications - in mathematics, science, engineering, business, law, and so forth. The lesson talks about the main ideas of Logic and how they relate to each other, and it provides a framework for organizing the rest of the material in the course. Attend the discussion sessions or use Piazza to talk about things you find confusing. By this point, you should have mastered the material in Lessons 1 and 2. There is a link to a practice exam; and, at the appropriate time, there will be links to the actual exams. Logic is a set of principles that forms a framework for correct reasoning. These ideas are all fairly simple in the context of Propositional Logic; they are more subtle in the context Relational Logic and Herbrand Logic. The first lesson is just an overview, and it is a very easy read. Including material that is likely to be less familiar; but, hopefully, after we have gone through it all, you will think that that is easy too! Some of the puzzles (like this one) are extremely easy; others are more difficult. Title. Traditional epistemology—the epistemology of Plato, Hume,Descartes, an… Logic and Artificial Intelligence. You can access the Exams page by clicking on the Exams link in the command bar above. Last week of the course. There are reports of professional mathematicians spending weeks on this problem without getting a fully satisfactory answer. Experience has shown that students benefit from the help of others and benefit from helping others. The Computational Logic sentence shown below expresses this fact using the vocabulary used above. Often, this means starting at the end and thinking about how to derive the desired conclusion and then figuring out how to prove the intermediate results you need to prove the final result. Description. exams based off other students' experiences. Most people find it difficult to decide which schemas need to be included and how to instantiate them. Wine is a little trickier but should not be a problem for computer scientists. However, most do not. And, once you have taken each exam, there will be links to review your scores. paper by Michael Genesereth of Stanford University's Center for Legal Informatics, Computational Law: The Cop in the Backseat1. Topics: current state of computational law, prospects and problems, philosophical and legal implications. Once, again there are two puzzles for you to work on this week. There is some optional material in the lessons (e.g. Here we are again - another week of reckoning - our second midterm exam. From Lesson 2, you should understand the syntax and semantics of Propositional Logic and the notions of evaluation and satisfaction. We began this course by making public all of the notes and interactive exercises for Stanford's course on logic. Convergence of technological trends, growth of the Internet, advent of semantic web technology, and progress in computational logic make computational law prospects better. It is pedagogically valuable in that it provides us with a simple setting in which to look at the main concepts of Logic - syntax and semantics, validity and contingency and unsatisfiability, logical equivalence and entailment and consistency, and proofs. If you have specific suggestions on how to improve the course, please send me suggestions (email: genesereth@stanford.edu). Such activity is both acceptable and encouraged. Note that, in order to access this page, you will be need to sign in. We start with syntax and semantics. You can check your detailed scores for the course by clicking on the Profile link on any of the Exam-related pages. Topics include the syntax and semantics of Propositional Logic, Relational Logic… ACM monograph series. In dealing with Functional Logic, we proceed through the same stages as in Propositional Logic and Relational Logic. If you do not yet have a passcode, press the Sign Up button on the Sign In page; enter your Stanford email address on the resulting form; and check your email for your passcode. However, it is not particularly practical. By the time you are done this week, you should be comfortable doing Hilbert proofs; and you should be ready to opine about its strengths and weaknesses. Relational logic is more natural than Propositional Logic, and it has more practical uses. Do the exercises. of In the weeks ahead, we will be revisiting these concepts in the context of a more complicated logic, and it will be good that we have already examined these concepts in this simpler setting. There are thirteen of these in all, one per lesson. Computational philosophy is perhaps most easily introduced by focusingon applications of agent-based modeling to questions in socialepistemology, social and political philosophy, philosophy of science,and philosophy of language. Tsien is a Professor of Neurology, Co-Director of the Brain and Behavior Discovery Institute at the Medical College of Georgia at Augusta University, and an Eminent Scholar of the Georgia Research Alliance in Systems and Cognitive Neuroscience. He is best known for his work on computational logic and its applications in enterprise computing, computational law, and general game playing. For those of you who have done the others, these two should be easy. Basic research interests include knowledge representation, automated reasoning, and rational action. in Physics from M.I.T. In fact, you should be more than familiar with this material - ideally, you should be saying to yourself (and others) that, when all is said and done, this stuff is pretty easy. Previewing page 1 He is best known for his work on computational logic and its applications in enterprise computing, computational law, and general game playing. That said, you should not shortchange the material. Your timer will start when you click on the link labeled "Midterm Exam 3" on the Exams page. Dorsa Sadigh and Chelsea Finn Win the Best Paper Award at CORL 2020; Chirpy Cardinal Wins Second Place in the Alexa Prize; Chelsea Finn and Jiajun Wu Receive Samsung AI Researcher of the Year Awards On Tuesday, we will have an introductory lecture on the subject matter of the course and course logistics. The puzzles are not a required part of the course, but in the past students have found them worthwhile and enjoyable. There is also a direct proof system, but it is less practical and so we do not spend any time on it. We see how to use Fitch with Functional Logic, and we see a new type of inference - mathematical induction. ... CS 157 is a rigorous introduction to Logic from a computational perspective. Prerequisite: basic concepts of programming. There are two components to this approach: (1) the representation of facts and regulations as sentences in formal logic and (2) the use of mechanical reasoning techniques to derive consequences of the facts and laws so represented. Your overall grade for the course will be based 40% on your performance on the first midterm, 30% on your second midterm, and 30% on this final midterm. Moreover, even if we add in induction, the procedure is still not complete. On Thursday, Our regular class period will be devoted to a review of the exam with an explanation of the answers and an opportunity for you to ask questions. One thing you should take away from these proof exercises is that finding proofs is a process of search in a space of possibilities. Be sure to do the exercises. What is easy in one system is often difficult in another and vice versa. By constructing terms in this way, we can get infinitely many names for objects; and, because our vocabulary is still finite, we can finitely axiomatize some things in a way that would not be possible with infinitely many object constants. However, this is not required; and, as previously described, you may take the exam any time during the 24 hour period beginning noonish on Tuesday. courses. You should also drop by Piazza to check out what others in the class are saying. If you want to see your letter grade, you can check Axess. The mission of the undergraduate program in Linguistics is to provide students with basic knowledge in the principal areas of linguistics (phonetics, phonology, morphology, syntax, semantics, pragmatics, historical linguistics, sociolinguistics, psycholinguistics, and computational linguistics) and the skills to do more advanced work in these subfields. The exam will take place on Tuesday, and there will be a review session on Thursday. Gill Bejerano. We are finally done. Genesereth is professor in the Computer Science Department at Stanford University and a professor by courtesy in the Stanford Law School. From a practical perspective, Computational Law is important as the basis for computer systems capable of performing useful legal calculations, such as compliance checking, legal planning, and regulatory analysis. Faculty & Research Scientists. Often, we want to describe worlds with infinitely many objects. Our experience has shown that it is useful for students to work together to understand the material of the course and to do exercises. A cautionary note. In case you need one, there is a link to a timer in the text on the exam page. Genesereth is most known for his work on Computational Logic and applications of that work in Enterprise Management, Computational Law, … On Thursday of this week, we will have our final regular class session. There are some subtleties in Logic that you can miss and that can lead to confusion. This is it - the week of reckoning - our first midterm exam. In fact, it *is* easy. All of the materials for the course are accessible via "Lessons" tab at the top of this page. Once again, we advise you to join the Zoom meeting on Tuesday to see if there are any last minute announcements. Ideally, by next Tuesday's class, you will have gotten your passcode, you will have read the instructions, you will have taken the practice exam, and you will be ready for the first actual exam. Lesson 2 introduces the syntax and semantics of Propositional Logic as well as the essentials concepts of evaluation and satisfaction. Series: Association of Computing Machinery. Humans are very capable of carrying out steps and performing tasks. - Logic and Automated Reasoning, This document and 3 million+ documents and flashcards, High quality study guides, lecture notes, practice exams, Course Packets handpicked by editors offering a comprehensive review of your Margaret Jacks Hall Building 460 Stanford University Stanford, CA 94305-2150. The Exams page on this site provides details about the exam format and the procedures for taking the exams. Concentrate on the exam. No puzzles this week. Michael Genesereth is a logician and computer scientist, who is most known for his work on computational logic and applications of that work in enterprise management, computational law, and general game playing. Topics include the syntax and semantics of Propositional Logic, Relational Logic, and Functional Logic, validity, contingency, unsatisfiability, logical equivalence, entailment, consistency, direct deduction (Hilbert), natural deduction (Fitch), mathematical induction, resolution, compactness, soundness, completeness. This week, we look at two proof systems for Relational Logic - a natural deduction system and a refutation system. Genesereth is best known for his work on computational logic and applications of that work in enterprise management and electronic commerce. We advise you to join the Zoom meeting on Tuesday to see if there are any last minute announcements. Feel free to discuss the subject matter and the problems either directly or using Piazza. The trick is to expand our language to include not just object constants but also complex terms that can be built from object constants in infinitely many ways. A Computational Logic (ACM monographs series) Includes bibliographic references and index. Those of you who made it to the end should feel pretty good - you have seen a lot of material, covered more rapidly and at a deeper level than in most introductory courses in Logic. Use techniques discussed in the course to find the smallest "rotor". 1. On Thursday, we will have an introduction to Propositional Logic. Logicians is pretty easy. Natural language inference Bill MacCartney Ph.D. dissertation, Stanford University, June 2009 Peer-reviewed papers. CS 157 (Stanford) Lecture 07- Herbrand Method. One way to get infinitely many terms is to allow our vocabulary to have infinitely many object constants. This week's exercises are easy. Computational Biology Evolution Genetics Population Biology Human genetic and cultural evolution, mathematical biology, demography of China population genetics Hunter Fraser CS 157 (Stanford) Popular Course Packets . The course begins now. Useful in thinking and communicating and useful in interacting with logic-enabled Computer Systems. Proving things, even very simple things, can be difficult. In addition, we will have semiweekly lectures and discussion sessions via Zoom using the link above. In fact, as we saw this past week, it is possible to show that there is no such sound and complete proof procedure for Functional Logic. This week, we begin our look at Relational Logic. He has taught logic for 30 years at Stanford and offers an annual massive open online course, or MOOC, on logic … While there is nothing wrong with this in principle, it makes the job of axiomatizing things effectively impossible, as we would have to write out infinitely many sentences in many cases. the Logicians cartoon, Sorority Life, Train Tracks, Minefinder, Minefield, and Mineplanner), and we highly recommend that you take a look. If you want a hardcopy version of the notes, you can purchase the book from the Morgan-Claypool or from Amazon. Computational Law (4019): Computational Law is an innovative approach to Legal Informatics concerned with the representation of regulations in computable form. Computational law is a branch of legal informatics concerned with the mechanization of legal reasoning (whether done by humans or by computers). and his Ph.D. in Applied Mathematics from Harvard University. Reminder: The exam will take place on Tuesday, and there will be a review session on Thursday. From Lesson 1, you should be familiar with the main topics of the course - logical languages, logical entailment and logical reasoning, formalization, and automation. The course materials will remain accessible online in perpetuity. Reasoning with information in this form. in SearchWorks catalog Apologies in advance if this happens to you. Finally, you might want to check out the puzzles. II. Exactly so. If X manages Y and X is an officemate of Y, then that is illegal. Michael Genesereth is a professor in the Computer Science Department at Stanford University. Moreover, we had planned a number of in-class activities that we do not believe will work adequately in an online setting. Last exam. However, this is not required; and, as previously described, you may take the exam any time during the 24 hour period beginning noonish on Tuesday. It shows how to encode information in the form of logical sentences; it shows how to reason with information in this form; and it provides an overview of logic technology and its applications - in mathematics, science, engineering, business, law, and so forth. As preparation for the in-class exams, we highly recommend that you review the online exercises, as the problems on the quizzes will closely resemble these exercises. exams. CS 157 is a rigorous introduction to Logic from a computational perspective. Resolution simplifies the creation of proofs by mapping all sentences form Propositional Logic into "clausal form" and then using just a single rule of inference to these expressions. Do it now! There is only so much one can teach in the form of notes and hypercards and exercises and extras and puzzles. Propositional Logic is simple and elegant. Who is wearing which? Theoretical computer … For some, the material may be a bit more difficult. This week, we continue our look at proofs for Functional Logic. Mechanical devices can Offices are located in Suites 127 (1st Floor) and 040 (Basement) Phone: 650-723-4284 As so often happens, increases in expressiveness leads to decreases in completeness and computability. Learn the essential elements of computing theory including logic, proof techniques, combinatorics, algorithm analysis, discrete data models (sets, relations, trees), and finite automata Explore various programming paradigms as well as principles of building object-oriented software Bio. 1.1 The Role of Logic in Artificial Intelligence. Importantly, there is a commitment to a level of rigor in specifying laws that is sufficient to support entirely mechanical processing. actual document. Note that, as you proceed through the online materials, you may occasionally encounter technical problems. We then discuss evaluation and satisfaction. Work in the course takes the form of readings and exercises, weekly programming assignments, and a term-long project. III. The Stanford Logic Group is a multidisciplinary research group operating within the Stanford Computer Science Department. 1 The Basic Computational Approach to Higher-Order Modal Logic The application of computational methods to philosophical problems was initially limited to rst-order theorem provers. Last review. We couldn't create a GradeBuddy account using Facebook because there is no email address associated with your Facebook account. Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. part ii. This is an all new version of the course and, as such, would benefit from face-to-face format. For example, it would be nice to axiomatize arithmetic over the integers or to talk about sequences of objects of varying lengths. Relational Logic is more complex than Propositional Logic, but it is also more useful. Resolution is a powerful approach to relational reasoning and is widely used in automated reasoning systems. Current projects include logical spreadsheets, data, and service integration on the World Wide Web, and computational law. Read the notes. This interdisciplinary undergraduate degree program in MCS is sponsored by Stanford's departments of Statistics, Mathematics, Computer Science, and Management Science & Engineering, providing students with a core of mathematics basic to all the mathematical sciences and an introduction to concepts and techniques of computation, optimal decision making, probabilistic modeling, and statistical inference. Logic is used to define the steps and tasks. If there is a person X who manages person Y and X is an officemate of Y, then that is illegal. As already mentioned, all of the rules of inference of Propositional Logic and Relational Logic work for Functional Logic as well. They make the language more expressive, but they also destory some of the nice logical and computational properties possessed by Propositional Logic and Relational Logic. And it introduces and distinguishes the central notions of logical equivalence and logical entailment and logical consistency. Relational Logic allows us to axiomatize worlds with varying numbers of objects. Sections 3.1 through 3.3 are thereforestructured around examples of agent-based modeling in these areas.Other important computational approaches and other areas are discussedin 3.4 through 3.6. The upshot is that it is difficult to produce proofs of even the simplest of results, and the proofs are often more verbose than they need to be. Cards is slightly challenging, but it has an especially elegant solution. Lecture 04 - Computational Logic. The only difference is the addition of functional terms. His 1987 textbook on Logical … NB: A reminder that the first midterm exam is coming up next week. The second (Chessboard) is much, much more difficult. We will dive into logic a little later. Recent Posts. Once the exam is over, you might want to try your hand at one final puzzle. This week, we also begin our discussion of proofs - rules of inference, direct proofs, and the Hilbert proof system. In particular, Fitelson and Zalta1 both (a) used Prover9 to nd a proof of the theorems about Computational logic12 is the use of logic to perform or reason about computation. Automatic theorem proving. End of the quarter means there is a good chance you would like to know how well you did. Finally, I want to thank those of you who participated in the Piazza newsgroup. However, it is not essential for this course, and you can safely skip that lesson / chapter if you are pressed for time. Michael Genesereth is a professor in the Computer Science Department at Stanford University and a professor by courtesy in the Stanford Law School. Meanwhile, in case you need something to do, there are two new puzzles - a class-related puzzle, called Zoom, and our final puzzle, appropriately entitled Enlightenment. Now that the first midterm is out of the way, there are also some new puzzles for you to consider. You should get comfortable with the language and you should get comfortable evaluating sentences and finding truth assignments that satisfy those sentences. However, the exercises become more difficult as the course progresses, and they are good preparation for the questions on the course quizzes. 120 views, Lecture 8 - Properties of Relational Logic, Incorporating Specialized Algorithms into General Inference Procedures, Truth Table Method and Propositional Proofs, Truth Table Method and Propositional Proofs, CS157 Computational Logic 2010 11 Assignment 3 Due Thursday November 4 at 11 59 pm October 28 2010 Please see the course website for homework submission policy collaboration policy and regrade policy You may use Logica with acknowledgement You may work in groups of up to three Acknowledge all aid and collaboration Please abide by the Honor Code Submission Instructions Mail your assignment to cs157assignments1011 gmail com No hard copies will be accepted File Name Instructions Please name your files as first name lastname assignment file format If you are John Doe submitting Assginment 3 you should name your file John Doe 3 1 Clausal Form 15 points Convert the following sentence to clausal form You MUST show your all of your work to receive full credit w x y p x y r y z q w z 2 Unification II 20 points Determine whether each of the following pairs of expressions is unifiable If yes give a most general unifier No explanation is necessary a p x b f y and p a y f z b p f x b g y f z a and p y g f g w w f w z c p f g a x f h z z h y g w and p y g z f v h f w x 1 3 Unification II 10 points a Assuming that x y z v and w are variables give a most general unifier for the expressions p t x y r z z and p t t w z v w b Is it possible for two expressions to have more than one most general unifier If so give a simple example If not give a brief explanation 4 Unification III 15 points Suppose that and are unifiers for expressions in relational logic Which of the following are true Briefly explain your answer to get full credit In these questions denotes the variable substitution resulting from the composition of and As usual you may assume that all unifiers are pure i e the variables being replaced do not occur within any of the replacements a If is a most general unifier then there is a substitution such that b If is a unifier but not a most general unifier then there is a variable substitution such that is a most general unifier c If and are most general unifiers then is a most. 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Know immediately to describe worlds with infinitely many objects and more your Stanford email address your... Enterprise computing, computational law: the exam will cover the material in Lessons 1 and 2 logic-enabled Computer.! Per lesson Stanford Logic Group is a very easy read programming assignments, reviews! All, one per lesson, sign in using your Stanford email address with... Material of the week of reckoning - our first midterm exam using because! Computational and theoretical linguistics from Harvard University assignments, and students from along... Of Stanford University and a refutation system from these proof exercises is the. Of principles that forms a framework for correct reasoning powerful approach to building computational law and... Inference Bill MacCartney Ph.D. dissertation, Stanford University 's Center for Legal Informatics, computational law ) been. These two should be easy faculty, staff, and the problems either directly or using.. Own risk is less practical and so forth another week of reckoning - our second midterm exam two puzzles... Tuesday to see if there is no email address associated with your Facebook account decreases in and! In enterprise management and computational logic stanford commerce from companies and other universities Department at Stanford and offers an annual massive online...
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