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Counter-Example Based Predicate Discovery in Predicate Abstraction Satyaki Das and David L. Dill Computer Systems Lab Stanford University satyakid@stanford.edu

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Conclusion. 8. Abstraction. A finite set of predicates defines the abstraction ... Conclusion. 20. AODV Example. Ad-hoc On-demand Distance Vector (AODV) routing ...

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??, ??,????? --?????????????. Web, Logics, and Knowledge-based Society --On the Logical Foundation of the Semantic ... T (limited existential quantification) ...

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Logical Reasoning

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Title: PowerPoint Presentation Last modified by: University of Mary Washington Created Date: 1/1/1601 12:00:00 AM Document presentation format: On-screen Show (4:3)

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Logical Agents * * * * * * * * * * * Logical agents for the Wumpus World Three (non-exclusive) agent architectures: Reflex agents Have rules that classify situations ...

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Quantifiers and variables allow us to refer to a collection of objects without explicitly naming each object. Some Examples Predicates: Brother, Sister, ...

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Logical Loops Joachim Schimpf ICLP 2002 Overview A general iteration construct for Prolog and Prolog-based (CLP) languages Definition via program transformation ...

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Predicate Calculus 2 Outline: Unification: definitions, algorithm Formal interpretations and satisfiability Horn clauses and PROLOG

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The Predicate Calculus 2.0 Introduction 2.1 The Propositional Calculus 2.2 The Predicate Calculus 2.3 Using Inference Rules to Produce Predicate Calculus Expressions

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Predicate logic is an extension of propositional logic that ... parenthesize x P(x) Q(x) 18. Nested Quantifiers. Exist within the scope of other quantifiers ...

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Title: Logic Programming Author: T. K. Prasad Last modified by: test Created Date: 9/30/1996 6:28:10 PM Document presentation format: On-screen Show (4:3)

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Temporal logics. Anders P. Ravn. Department of Computer Science, Aalborg University, Denmark ... Journal of the ACM (JACM) , 47, pp 312 360, 2000. CTL Model Theory 1 ...

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6 : Predicates, Quantifiers & Mathematical Induction (Kuang-Chi Chen) chichen6@mail.tcu.edu.tw Predicates & Quantifiers ...

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Logical Reasoning Systems Material adopted from s and notes by Yun Peng, UMBC , Tim Finin, Andreas Geyer-Schulz and Chuck Dyer Introduction Real knowledge ...

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Only a small subset of all abstract states is reachable ... Construct more precise abstraction by adding new predicates. Implementation Overview ...

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Predicate Calculus. Subject / Predicate ... Predicate Calculus - uses predicates. predicates must be applied to a subject in order to be true or false. P(x) ...

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Title: Artificial Intelligence Author: Cao Hoang Tru Last modified by: Cao Hoang Tru Created Date: 2/7/2004 11:51:55 PM Document presentation format

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Jean Muller et Annie Muller ont les m mes parents ... Le fait qu'un individu quelconque est descendant d'un autre individu quelconque ...

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Each n-ary predicate P is interpreted by an assignment I(P) of truth values to ... Translate the argument into predicate logic formulas, premises X and conclusion A. ...

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Every control path is executed by the test set. Predicate ... Does PCT actually produce tests? Using Boolean Programs ... graph. Test Generation. Discussion ...

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... LOGIC. Trees, proofs. All male philosophers have beards. Socrates is a male philosopher. Therefore, Socrates has a beard. s = Socrates; B... = ... is bearded; M...

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Let P(X) denote statement 'X is greater than 3', where P denote the predicate ' ... Repeatedly applying the hypothetical syllogism rule to adjacent implications in ...

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rating sum of IQ's. Specific situation: ... rating sum of IQ's for female students. Specification of logical background knowledge ? ...

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If the sun shines on the screen on a particular day, the blinds are brought down. The blinds are not down today. Is it sunny today? 21. Represent in predicate ...

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Theorem provers and logic programming languages Provers: use ... Canary. Fish. Bird. Breath. Skin. Move. Feathers. Wings. Fly. Tall. Fly. Yellow. Sing. can. can ...

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Logical Agents (Part I) This lecture ... Exploring a wumpus world Exploring a wumpus world Exploring a wumpus world Logic We used logical reasoning to find the gold.

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... case letter and predicate/function symbols with a lower-case letter.) Logical symbols: ... If X is a variable and a is a formula then Xa and Xa are formulas. ...

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Propositional Logic: Logical Agents (Part I) This lecture topic: Propositional Logic (two lectures) Chapter 7.1-7.4 (this lecture, Part I) Chapter 7.5 (next lecture ...

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Logical Representations and Resolution Boolean Logic Conjunctive Normal Form Conjunctive Normal Form Theorem Conversion to Conjunctive Normal Form Resolution ...

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Title: Learning, Logic, and Probability: A Unified View Author: Pedro Domingos Last modified by: Pedro Domingos Created Date: 3/5/2003 7:43:43 AM Document ...

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Roman(x) loyalto(x, Caesar) hate(x, Caesar) exclusive-or ... knows(John, x) hates(John, x) knows(John, Jane) y: knows(y, Leonid) y: knows(y, mother(y) ...

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Clusters objects and relations simultaneously. Multiple types of objects ... Variables range over relations (predicates) and objects (constants) ...

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Unifying Logical and Statistical AI Pedro Domingos Dept. of Computer Science & Eng. University of Washington Joint work with Jesse Davis, Stanley Kok, Daniel Lowd ...

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Relational Schemas and Predicate Logic: Notation

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Logics for Data and Knowledge Representation Resource Description Framework (RDF) Fausto Giunchiglia and Biswanath Dutta Users are free to choose their own ways to ...

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Representation First Order Logics (FOL) Originally by Alessandro Agostini and Fausto Giunchiglia Modified by Fausto Giunchiglia, Rui Zhang and Vincenzo Maltese

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Hash table impractical if many clauses for a given predicate symbol ... In GNU PROLOG the program is kept in an ASCII file. CS 561, Session 19. 18. A PROLOG Query ...

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If X is married to Y, then Y is married to X. ... All of propositional quantifiers, predicates, ... E.G. What is the relationship between Bill and Hillary? ...

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Logics for Data and Knowledge Representation Resource Description Framework (RDF) Feroz Farazi RDF A language for representing Web resources and information about ...

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Sue likes Rita and Rita likes Michael. ... people in Michael's office. The language PL. Symbolizing in PL ... UD: People in Michael's office ...

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Title: Logics for Data and Knowledge Representation Last modified by: Rui Document presentation format: Custom Other titles: Gill Sans Arial Wingdings 3 Wingdings ...

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Representation First Order Logics (FOL) Originally by Alessandro Agostini and Fausto Giunchiglia Modified by Fausto Giunchiglia, Rui Zhang and Vincenzo Maltese

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Express in propositional logic. If Xeon is a tiger, then Xeon has ... Questions in Assignment. Negation of English statement Que. Validity of predicate logic ...

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Abstraction of programs manipulating pointers using modal logics Yoshinori TANABE (IST & AIST) (Joint work with Yoshifumi YUASA, Toshifusa SEKIZAWA and Koichi ...

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Representation Context Logic Originally by Alessandro Agostini and Fausto Giunchiglia Modified by Fausto Giunchiglia, Rui Zhang and Vincenzo Maltese

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An Axiom System for Prepositional Logic (A (B C)) (A B) (A C) A (B A) (( A false ) false ) A ... An Axiom System for. Predicate Logic x (A(x) B(x)) ( xA(x) xB(x) ...

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Predicate Calculus as a Language for Representing Knowledge. Additional ... To invent predicate-calculus expressions with objects, functions, and relations ...

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A Logical Formulation of PRMs. Example. Institute(InstId,Type) Researcher(RID,Area,Salary,InstID) Paper(PaperId,Topic) Author(RId,PaperID) Cites(PaperId1,PaperId2) ...

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ELEMENTARY AFFINE LOGIC ... and principal typing for Elementary Affine Logic (Coppola, Martini, TOCL 200? ... Elementary Affine Logic (EAL) is a restriction of ...

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Simple arguments, where propositional logic does not suffice. All ... p, q, r, and p, q does not entail r. All students are clever. Charles is not clever ...

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A formal logic-based knowledge representation language ' ... A 'Family' Knowledge Base. Person include Man(Male) and Woman(Female), A Man is not a Woman ...

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Title: First-Order Logic Author: hi Last modified by: Engineering Science Created Date: 9/3/2002 8:33:34 PM Document presentation format: On-screen Show

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Modal and Temporal Logics - An overview ... Modal vs Temporal. Very similar, ... here we write (T, ) to denote a temporal frame. Some important observations ...

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Predicate symbols (mapping from individuals to truth values) E.g., greater(5,3) ... E.g., (Ax) dolphin(x) = mammal(x) ... E.g., (Ex) mammal(x) ^ lays-eggs(x) ...

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Flexible and Efficient XML Search with Complex Full-Text Predicates Sihem Amer-Yahia - AT&T Labs Research Yahoo! Research Emiran Curtmola - University of ...

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