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 …

[图书][B] Fork algebras in algebra, logic and computer science

MF Frias - 2002 - books.google.com
Fork algebras are a formalism based on the relational calculus, with interesting algebraic
and metalogical properties. Their representability is especially appealing in computer …

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 …

A proof system for fork algebras and its applications to reasoning in logics based on intuitionism

MF Frias, E Orlowska - Logique et Analyse, 1995 - JSTOR
Relational proof systems have been already proposed for certain modal, relevant and
substructural logics. In this paper we present a general method for constructing Rasiowa …

From specifications to programs: A fork-algebraic approach to bridge the gap

GA Baum, MF Frias, AM Haeberer… - … of Computer Science …, 1996 - Springer
The development of programs from first-order specifications has as its main difficulty that of
dealing with universal quantifiers. This work is focused in that point, ie, in the construction of …

An equational re-engineering of set theories

A Formisano, E Omodeo - International Workshop on First-Order Theorem …, 1998 - Springer
New successes in dealing with set theories by means of state-of-the-art theorem-provers
may ensue from terse and concise axiomatizations, such as can be moulded in the …

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 …