منابع مشابه
Syllogistic Logics with Verbs
This paper provides sound and complete logical systems for several fragments of English which go beyond syllogistic logic in that they use verbs as well as other limited syntactic material: universally and existentially quantified noun phrases, building on the work of Nishihara, Morita, and Iwata [7]; complemented noun phrases, following our [6]; and noun phrases which might contain relative cl...
متن کاملLogics for the Relational Syllogistic
The Aristotelian syllogistic cannot account for the validity of certain inferences involving relational facts. In this paper, we investigate the prospects for providing a relational syllogistic. We identify several fragments based on (a) whether negation is permitted on all nouns, including those in the subject of a sentence; and (b) whether the subject noun phrase may contain a relative clause...
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This paper is a contribution to natural logic, the study of logical systems for linguistic reasoning. We construct a system with the following properties: its syntax is closer to that of a natural language than is first-order logic; it can faithfully represent simple sentences with standard quantifiers, subject relative clauses (a recursive construct), and negation on nouns and verbs. We also g...
متن کاملTableau-Based Model Generation for Relational Syllogistic Logics
I present an analytic tableau system for a small fragment of natural language called RC. RC is an extension of the classical Aristotelian syllogisms (“All computer-scientists are mathematicians”) to include relations in the form of transitive verbs (“All who hate all logic programmers know some who hate all proof theoreticians”) and to permit the negation of nouns (“Some non-linguists love all ...
متن کاملEQ-logics with delta connective
In this paper we continue development of formal theory of a special class offuzzy logics, called EQ-logics. Unlike fuzzy logics being extensions of theMTL-logic in which the basic connective is implication, the basic connective inEQ-logics is equivalence. Therefore, a new algebra of truth values calledEQ-algebra was developed. This is a lower semilattice with top element endowed with two binary...
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ژورنال
عنوان ژورنال: Journal of Logic and Computation
سال: 2008
ISSN: 0955-792X,1465-363X
DOI: 10.1093/logcom/exn086