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Differentiate prepositional & predicate logic. What is entailment and inference? What factors determine the selection of forward or backward reasoning approach for an AI problem? Define Logical agents. Define unification and unification algorithm? Define Diagnostic and casual rule. List some of the rules of inference with examples. Define the types of planning Give examples. Describe ...
rules of inference addition

[DOC File]74 - Home - Department of Computer Science
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Inference Rules in general are rules with which you can – in a syntactic manipulation – derive new formulae from given ones, and these new formulae are true, provided the given formulae which were used in the application of the Inference Rule are true. These Inference Rules are schemata, in which specific formulae can substitute the formula-variables, like ( and (.
eight inference rules logic

[DOC File]Department of Computer Science
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For Boolean logic, truth tables provide a basis for defining a set of sound and complete inference rules. It is less obvious that such a set exists for first-order logic. But it does, as was first shown by Kurt Gödel in his Completeness Theorem [Gödel 1929]. More specifically, Gödel showed that there exists some set of inference rules R such that, given any set of axioms A and a sentence c ...
rules of inference practice

[DOCX File]National Academic Digital Library of Ethiopia
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Propositional Logic is a formal language consisting of symbols (propositional variables), logical operators (connectives) and inference rules for manipulating the symbols to construct a valid argument.
rules of inference with quantifiers

[DOC File]COMS W4701y: Artificial Intelligence
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b. is a subset of first-order logic. c. is an inference mechanism. d. provides a vocabulary for expressing knowledge . 6. An inference procedure. a. is a declarative knowledge representation. b. provides rules for deriving new facts from existing facts. c. is a proof. d. is a type of inheritance . 7. An inference method is sound if it . a. can derive any sentence that is entailed. b. only ...
rules of inference proof calculator

[DOC File]CS 188 - University of California, Berkeley
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Propositional Logic Inference algorithms. Conjunctive Normal Form - Conjunction of clauses, which are disjunctions of literal - Any sentences can be reduced to CNF - Hard for human to read, but easy for computer . k-CNF - CNF where each clauses consist of exactly k literals - Can convert any CNF to 3-CNF, by introducing variable. Resolution Algorithm - To show KB |= (, show that (KB ^ (() is ...
rules of inference practice problems

[DOC File]COMP 0560: Artificial Intelligence I
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The Propositional Calculus. A logic involves: A language (with a syntax which is used to specify sentences within the language) Inference rules (which can be used to manipulate sentences written in the language) Semantics (which provide a way of mapping language elements to elements of a subject matter) COMP-4640: Intelligent & Interactive Systems. The Propositional Calculus. Logic in general ...
rules of inference simplification

[DOC File]Midterm solutions:
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A. Convert these sentences to propositional logic. Knowledge base: (2 points) (S ^ C) v (C ^ Ca) note: "neither ... or" was meant to be "v" in propositional. logic. However, no points were removed if you understood it as. excusive-or. Rules: (1 point each) R1. Ca => D. R2. D => S. R3. S ^ C => CH. B. Put the resulting sentences in Conjunctive Normal Form: Knowledge base: (2 points) (S ^ C) v ...
logic rules of inference calculator

[DOC File]Horses are faster than dogs and there is a greyhound that ...
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inference rules. Rule of inference – check you know the definition, we have already discussed about . Proof. Ex: ( = {P, P ( Q, T}, ( ((R Q ( T. Logic – is a formal system. Propositional logic. Syntax: atoms, logical connectives, wffs. Semantics. Interpretation. Satisfiability and models. Properties of formulas: valid, satisfiable, inconsistent, equivalence. Entailment ( logically entails ...
rules of inference addition

[DOC File]September 7, 2004
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The equivalence rules and inference rules of propositional logic are still part of predicate logic. There are arguments with predicate wffs that are not tautologies but are still valid because of their structure and the meaning of the universal and existential quantifiers. Approach to proving arguments is: strip off quantifiers. manipulate unquantified wffs. put quantifiers back. Four new ...
eight inference rules logic

Propositional logic rules of inference