منابع مشابه
Deriving Natural Deduction Rules from Truth Tables
We develop a general method for deriving natural deduction rules from the truth table for a connective. The method applies to both constructive and classical logic. This implies we can derive “constructively valid” rules for any (classical) connective. We show this constructive validity by giving a general Kripke semantics, that is shown to be sound and complete for the constructive rules. For ...
متن کاملDeduction Schemes for Association Rules
Several notions of redundancy exist for Association Rules. Often, these notions take the form “any dataset in which this first rule holds must obey also that second rule, therefore the second is redundant”; if we see datasets as interpretations (or models) in the logical sense, this is a form of logical entailment. In many logics, entailment has a syntactic counterpart in the form of a deductio...
متن کاملNatural deduction via graphs: formal definition and computation rules
We introduce the formalism of deduction graphs as a generalization of both Gentzen-Prawitz style natural deduction and Fitch style flag deduction. The advantage of this formalism is that subproofs can be shared, like in flag deductions (and unlike natural deduction), but also that the linearisation used in flag deductions is avoided. Our deduction graphs have both nodes and boxes, which are col...
متن کاملNatural Deduction Environment for Matita
Matita is a proof assistant characterised by a rich, user extensible, output facility based on a widget for the rendering of MathML Presentation, and by the automatic handling of overloading by means of a flexible disambiguation mechanism. We show how to use these features to obtain a simple learning environment for natural deduction, without modifying the source code or Matita.
متن کاملNatural Deduction for Hybrid Logic
In this paper we give a natural deduction formulation of hybrid logic. Our natural deduction system can be extended with additional inference rules corresponding to conditions on the accessibility relations expressed by so-called geometric theories. Thus, we give natural deduction systems in a uniform way for a wide class of hybrid logics which appears to be impossible in the context of ordinar...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1972
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093890724