Presentation on theme: "REPRESENTAÇÃO DO CONHECIMENTO Terças – 13 hs – sala 512 RDC."— Presentation transcript:
REPRESENTAÇÃO DO CONHECIMENTO Terças – 13 hs – sala 512 RDC
Definition: The study of propositions and their use in argumentation. Major task: establish a systematic way of deducing the logical consequences of a set of sentences. EnciclopÆdia Britannica. Logic
Lógica Matemática Leibniz Reduce reasoning to mathematical computation Corpo = substância material = 2x3=6 Humano = 2x3x7x13x19= 10.374 Divide por 6 =>Humano é corpo Não divide por 66(mineral) => Humano não é mineral
T-Box & A-Box Brachman et al. T-box – term definition A-box – assertion definition lattices
Álgebra Booleana 0 – false 1 – truth Conjunction X – and Disjunction + - or Negation – not
Predicate Logic Universal with implication Existential with conjuction
Logic and Ontology Harder to read Distracting detail from the variables – used to link parts of the formula Logic is simple – half a dozen symbols. Level of detail depends on the predicates that do not belong to logic. They represent an ontology of relevant things in the domain. Choices represent ontological commitments. Predicates in an ontology Domain dependent Domain independent
Varieties of Logic Syntax Subsets description logics Proof theory Model theory Ontology Uninterpreted logic: bunch of symbols, quatifiers, operators Set theory for Math Metalanguage
Typed Logic Notational engineering Avoids extra implications that accompany the universal quantifier
Lambda Calculus Church notation for defining functions and a method for converting any given definition into other equivalent definitions
Conceptual Graphs System of logic Based on Existential graphs by Peirce Semantic Networks A cat is on the Mat Every cat is on a mat
KIF Knowledge Interchange Format Version of typed predicate logic – Genesereth, Fikes et al.
KIF Knowledge Interchange Format Version of typed predicate logic – Genesereth, Fikes et al. A cat is on the Mat Every cat is on a mat
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