Modern connexive logic started in the 1960s with seminal papers by Richard B. Angell and Storrs McCall. Connexive logics are orthogonal to classical logic insofar as they validate certain non-theorems of classical logic, namely

• Aristotle's Theses: ~(~A→A), ~(A→~A)
• Boethius' Theses: (A→B)→~(A→~B), (A→~B)→~(A→B)

Systems of connexive logic have been motivated by considerations on a content connection between the antecedent and succedent of valid implications and by applications that range from Aristotle's syllogistic to Categorial Grammar and the study of causal implications. Surveys of connexive logic can be found in:

• S. McCall, "A History of Connexivity", in D.M. Gabbay et al. (eds.), Handbook of the History of Logic. Volume 11. Logic: A History of its Central Concepts, Amsterdam, Elsevier, 2012, pp. 415-449.
• H. Wansing, "Connexive Logic", in Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy (Fall 2014 Edition).

Recently, connexive logics have received new attention. This workshop is meant to present current work on connexive logic and to stimulate future research.

The keynote speaker for the workshop is Storrs McCall.

Call for papers

Any papers related to connexive logics are welcome. Topics of interest include (but are not limited to) the following:

• Historical considerations of the notion of connexivity
• Arguments for or against connexive logics
• Examinations of existing systems of connexive logics
• non-explosiveness of logical consequence

Submissions of extended abstracts (up to five pages) should be sent to both organizers as a pdf file at

hitoshiomori[at]gmail[dot]com and Heinrich[dot]Wansing[at]rub[dot]de

Deadline for submission: December 1st 2014.

Notification of acceptance: December 31st 2014.

Accepted papers

The following papers will be presented at the workshop.

• On Arithmetic Formulated Connexively by Thomas Macaulay Ferguson [abstract]
• Connexive Logic and Textual Entailment by Valeria de Paiva [abstract]
• The Strange Status of The Principle of Conditional Non-Contradiction by Matthias Unterhuber [abstract]
• Natural Deduction for Bi-connexive Logic by Heinrich Wansing [abstract]
• A Simple Connexive Extension of the Basic Relevant Logic BD by Hitoshi Omori [abstract]

Program

The workshop is organized as a part of UNILOG 2015 and will take place on June 26, 2015.

15:15--15:45 Hitoshi Omori

15:45--16:15 Thomas Ferguson

16:15--16:45 Coffee Break

16:45--17:15 Matthias Unterhuber

17:15--17:45 Heinrich Wansing

17:45--18:30 Storrs McCall