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Section 1: Propositional Logic
... the basic level of structure is called propositional logic. First order predicate logic, which is often called just predicate logic, studies structure on a deeper level. • The second direction is the nature of truth. For example, one may talk about statements that are usually true or true at certain ...
... the basic level of structure is called propositional logic. First order predicate logic, which is often called just predicate logic, studies structure on a deeper level. • The second direction is the nature of truth. For example, one may talk about statements that are usually true or true at certain ...
Default reasoning using classical logic
... logic programs with classical negation and with \negation by default" can be embedded very naturally in default logic, and thus default logic provides semantics for logic programs [GL91, BF87]. However, while knowledge can be speci ed in a natural way in default logic, the concept of extension as pr ...
... logic programs with classical negation and with \negation by default" can be embedded very naturally in default logic, and thus default logic provides semantics for logic programs [GL91, BF87]. However, while knowledge can be speci ed in a natural way in default logic, the concept of extension as pr ...
Incompleteness in the finite domain
... Our motivation for studying such problems is the fundamental question: what is the connection between logical strength of theories and computational complexity? which is basically what the field of proof complexity is about. Here we refer to proof complexity in a broader sense that also includes the ...
... Our motivation for studying such problems is the fundamental question: what is the connection between logical strength of theories and computational complexity? which is basically what the field of proof complexity is about. Here we refer to proof complexity in a broader sense that also includes the ...
Completeness in modal logic - Lund University Publications
... We can’t have systems characterized by Kripke-frames, that do not contain K. K is as low as Kripke semantics will go (in the terminology of Hansson and Gärdenfors, to be introduced later, K determines the width of Kripke-semantics.) So what do we do if we don’t want K to be a theorem in our system? ...
... We can’t have systems characterized by Kripke-frames, that do not contain K. K is as low as Kripke semantics will go (in the terminology of Hansson and Gärdenfors, to be introduced later, K determines the width of Kripke-semantics.) So what do we do if we don’t want K to be a theorem in our system? ...
