Intuitionistic Logic according to Dijkstra's Calculus of Equational Deduction

Notre Dame Journal of Formal Logic 49 (4):361-384 (2008)

Abstract
Dijkstra and Scholten have proposed a formalization of classical predicate logic on a novel deductive system as an alternative to Hilbert's style of proof and Gentzen's deductive systems. In this context we call it CED . This deductive method promotes logical equivalence over implication and shows that there are easy ways to prove predicate formulas without the introduction of hypotheses or metamathematical tools such as the deduction theorem. Moreover, syntactic considerations have led to the "calculational style," an impressive array of techniques for elegant proof constructions. In this paper, we formalize intuitionistic predicate logic according to CED with similar success. In this system , we prove Leibniz's principle for intuitionistic logic and also prove that any valid formula of predicate logic can be proved in I-CED
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1215/00294527-2008-017
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 47,122
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

A Normalizing System of Natural Deduction for Intuitionistic Linear Logic.Sara Negri - 2002 - Archive for Mathematical Logic 41 (8):789-810.
Varieties of Linear Calculi.Sara Negri - 2002 - Journal of Philosophical Logic 31 (6):569-590.
Semantics-Based Nonmonotonic Inference.Heinrich Wansing - 1995 - Notre Dame Journal of Formal Logic 36 (1):44-54.

Analytics

Added to PP index
2014-03-13

Total views
8 ( #882,597 of 2,289,284 )

Recent downloads (6 months)
1 ( #842,814 of 2,289,284 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature