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» Algebraically Expandable Classes of Implication Algebras
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FSS
2006
85views more  FSS 2006»
13 years 4 months ago
The logic of tied implications, part 2: Syntax
An implication operator A is said to be tied if there is a binary operation T that ties A; that is, the identity A(a, A(b, z)) = A(T (a, b), z) holds for all a, b, z. We aim at th...
Nehad N. Morsi, Wafik Boulos Lotfallah, Moataz Sal...
AML
2010
96views more  AML 2010»
13 years 5 months ago
Implicational (semilinear) logics I: a new hierarchy
In Abstract Algebraic Logic, the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this proce...
Petr Cintula, Carles Noguera
BSL
1999
103views more  BSL 1999»
13 years 4 months ago
The logic of bunched implications
We consider a classical (propositional) version, CBI, of O'Hearn and Pym's logic of bunched implications (BI) from a model- and prooftheoretic perspective. We present a c...
Peter W. O'Hearn, David J. Pym
MLQ
2000
99views more  MLQ 2000»
13 years 4 months ago
The Essentially Equational Theory of Horn Classes
It is well known that the model categories of universal Horn theories are locally presentable, hence essentially algebraic [2]. In the special case of quasivarieties a direct tran...
Hans-E. Porst