Belnap's four-valued logic and De Morgan lattices

JM Font - Logic Journal of IGPL, 1997 - academic.oup.com
This paper contains some contributions to the study of Belnap's four-valued logic from an
algebraic point of view. We introduce a finite Hilbert-style axiomatization of this logic, along …

[图书][B] Relational methods in computer science

C Brink, W Kahl, G Schmidt - 1997 - books.google.com
The calculus of relations has been an important component of the development of logic and
algebra since the middle of the nineteenth century, when Augustus De Morgan observed …

Fork algebras in algebra, logic and computer science

MF Frias, GA Baum, AM Haeberer - Fundamenta Informaticae, 1997 - content.iospress.com
Since the main themes at the Helena Rasiowa memorial were algebra, logic and computer
science, we will present a survey of results on fork algebras from these points of view. In this …

A finite axiomatization for fork algebras

MF Frias, AM Haeberer… - Logic Journal of the IGPL, 1997 - ieeexplore.ieee.org
Proper fork algebras are algebras of binary relations over a structured set. The underlying
set has changed from a set of pairs to a set closed under an injective function. In this paper …

Equational reasoning in non-classical logics

M Frias, E Orlowska - Journal of Applied Non-classical Logics, 1998 - Taylor & Francis
In this paper it is shown that a broad class of propositional logics can be interpreted in an
equational logic based on fork algebras. This interpetability enables us to develop a fork …

Refinement and development of programs from relational specifications

W Kahl - Electronic Notes in Theoretical Computer Science, 2003 - Elsevier
Refinement and Development of Programs from Relational Specifications Page 1 Electronic
Notes in Theoretical Computer Science 44 No. 3 (2003) URL: http://www.elsevier.nl/locate/entcs/volume44.html …

Tarski's Q-relation algebras and Thompson's groups

RD Maddux - arXiv preprint arXiv:2309.13366, 2023 - arxiv.org
The connections between Tarski's Q-relation algebras and Thompson's groups F, T, V, and
monoid M are reviewed here, along with Jonsson-Tarski algebras, fork algebras, true pairing …

[PDF][PDF] Fork algebras: past, present and future

M Frias, P Veloso, G Baum - Journal on Relational Methods in …, 2004 - cosc.brocku.ca
Fork Algebras: Past, Present and Future Page 1 Journal on Relational Methods in Computer
Science, Vol. 1, 2004, pp. 181 - 216 Fork Algebras: Past, Present and Future Marcelo F. Frias⋆1 …

Strong representability of fork algebras, a set theoretic foundation

I Nemeti - Logic Journal of IGPL, 1997 - academic.oup.com
This paper is about pairing relation algebras as well as fork algebras and related subjects. In
the 1991-92 fork algebra papers it was conjectured that fork algebras admit a strong …

Representability of Pairing Relation Algebras Representability of Pairing Relation Algebras Depends on our Ontology

A Kurucz, I Németi - Fundamenta Informaticae, 2000 - content.iospress.com
We consider classes of relation algebras expanded with new operations based on the
formation of ordered pairs. Examples for such algebras are pairing (or projection) algebras …