منابع مشابه
Aristotle ' S Natural Deduction System
In the present article we attempt to show that Aristotie's syllogistic is an underlying logie which includes a natural deductive system and that it is not an axiomatic theoryas had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic and we examine both the mathematical properties of the model and the relation of the model to ...
متن کاملTowards a Canonical Classical Natural Deduction System
This paper studies a new classical natural deduction system, presented as a typed calculus named λμlet. It is designed to be isomorphic to Curien-Herbelin’s λμμ̃-calculus, both at the level of proofs and reduction, and the isomorphism is based on the correct correspondence between cut (resp. left-introduction) in sequent calculus, and substitution (resp. elimination) in natural deduction. It is ...
متن کاملOn natural deduction system for nonmonotonic reasoning
This paper is concerned with the problem of how to construct a natural deduction system for nonmonotonic reasoning. Three possible constructions are investigated, the ones which consists of (1) pure nonmonotonic inference rules; (2) nonmonotonic inference rules plus a nonmonotonic tautology base; or (3) nonmonotonic inference rules plus a nonmonotonic conditional assertion base. Based on a fram...
متن کاملA Labeled Natural Deduction System for a Fragment of CTL*
We give a sound and complete labeled natural deduction system for an interesting fragment of CTL∗, namely the until-free version of BCTL∗. The logic BCTL∗ is obtained by referring to a more general semantics than that of CTL∗, where we only require that the set of paths in a model is closed under taking suffixes (i.e. is suffix-closed) and is closed under putting together a finite prefix of one...
متن کاملA Natural Extension of Natural Deduction
One of the main ideas of calculi of natural deduction, as introduced by Jaskowski and Gentzen, is that assumptions may be discharged in the course of a derivation. As regards sentential logic, this conception will be extended in so far as not only formulas but also rules may serve as assumptions which can be discharged. The resulting calculi and derivations with rules of any finite level are in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1975
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093891884