This new perspective, combined with much improved insights into the semantically defined discourse dependency of natural language sentences, leads to a novel and more functionally oriented approach to logic and to a reappraisal of traditional predicate calculus, whose main fault, undue existential import...
Logic: study of entailment relations Using Logic# No universal language / semantics No universal reasoning scheme Start with first-order predicate calculus(FOL) Why do we need formal Knowledge Representation?# Natural languages exhibit ambiguity ambiguity make it difficult to make any inferences Syntax ...
VS 2 , S 1 S 2 , S 1 S 2 E.g., adjacent(x,y) adjacent (y,x), ⌐knows(Charles, Michael), 21 Truth in First-order Logic Sentences are true with respect to a model and an interpretation Model contains 1 objects (domain elements) and relations among them Interpretation speci...
The meaning of PROPOSITIONAL CALCULUS is the branch of symbolic logic that uses symbols for unanalyzed propositions and logical connectives only —called also sentential calculus.
'Model theory of propositional logics of programs, some open problems' published in 'Computation Theory'
We give a sequential reduction technique for transforming a formula of the pure predicate calculus to a sequence of 'increasingly accurate' propositional logic 'approximations' to the predicate formula. At each stage of approximation, one of the following three cases occurs: (1) the approximation sh...
Propositional Attitudes: The Role of Content in Logic, Language, and Mind. Stanford: CSLI Publications. 27-90. Kamp, H. 1996. ‘Some elements of a DRT-based theory of the representation of mental states and verbal communication.’ Forthcoming as Chapter 3 of H. Kamp & U Reyle, From ...
A predicate language over a propositional language S is a couple qS = ( S , q ) where q is the signature of qS , i.e. the function which divides descriptive terms D ( q ) of qS into syntactical categories. All predicate languages involve the sets V f and V b of free and bound ...
Propositional and Predicate Logicdoi:10.1007/978-3-319-64021-1_6Propositional logic is the study of propositions, where a proposition is a statement that is either true or false. Propositional logic may be used to encode simple arguments that are expressed in...Gerard O'ReganSQC Consulting...
pure logicWe give a sequential reduction technique for transforming a formula of the pure predicate calculus to a sequence of 'increasingly accurate' propositional logic 'approximations' to the predicate formula. At each stage of approximation, one of the following three cases occurs: (1) the ...