Chapter1.Propositionallogic(命题逻辑）1.1PropositionsandConnectives 人的思维过程：概念判断推理 正确的思维：概念清楚，判断正确，推理合乎逻辑。人们是通过各种各样的学习(理论学习和从实践中学习)来掌握许多概念和判断。而形式逻辑主要是研究推理的。推理：是由若干个已知的判断...
RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook logical connectives [′läj·ə·kəl kə′nek·tivz] (mathematics) Symbols which link mathematical statements; these symbols represent the terms “and,”“or,”“implication,” and “negation.” ...
(Non-conditional)) 1.6.5最小联结词组(Theminimalsetof connectives)) WORDANDEXPRESSIONS functionallycompleteset功能完备组 NAND与非 NOR或非 1.5.FunctionallyCompleteSetofLogical Connectives Uptonow,thefiveconnectivesintheset areusedtoformthewffsofthepropositionallogic. Arethereothersetsofconnectivesthatwilldothe ...
2.(Grammar)grammarlogic a.a less common word forconjunction3 b.any word that connects phrases, clauses, or individual words c.a symbol used in a formal language in the construction of compound sentences from simpler sentences, corresponding to terms such asor, and, not,etc, in ordinary spee...
Consistency, completeness and decidability for both classical and intuitionistic systems are given provided some simple conditions on the formation of propositional letters are satisfied. We describe an application to PROLOG programming in the context of databases....
we axiomatize the immediate predecessor of the full classical propositional calculus, and then establish the following main results: connectives c (implication), k (and), n (not), are independent in any intermediate propositional logic; quantifiers a (for all), e (there exists), are independent...
Featherweight OCL -- A study for the consistent semantics of OCL 2.3 in HOL At its origins, OCL was conceived as a strict semantics for undefinedness, with the exception of the logical connectives of type Boolean that constitute a three-valued propositional logic. Recent versions of the OCL st...
The latter two are natural generalizations of the former, which allow non-deterministic interpretations of logical connectives (in contrast to Nmatrices, PN... M Baaz,O Lahav,A Zamansky - 《Journal of Automated Reasoning》 被引量: 14发表: 2013年 On meet-combination of logics Our approach was...
The setup of a mathematical propositional logic is given in algebraic terms, describing exactly when two choices of truth value algebras give the same logi... M Gehrke,C Walker,E Walker - International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 被引量: 66发表: 1997年 ...
Probabilistic logicunreliable connectivesarrow and turnstile interpolationsArrow and turnstile interpolations are investigated in UCL [introduced by Sernadas et al. (J Logic Comput, 2013)], a logic that is a complete extension of classical propositional logic for reasoning about connectives that only ...