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» Second-order logic on equivalence relations
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DIAGRAMS
2010
Springer
13 years 7 months ago
Fragments of Spider Diagrams of Order and Their Relative Expressiveness
Abstract. Investigating the expressiveness of a diagrammatic logic provides insight into how its syntactic elements interact at the semantic level. Moreover, it allows for comparis...
Aidan Delaney, Gem Stapleton, John Taylor, Simon J...
DLT
2008
13 years 9 months ago
Tree Automata with Global Constraints
A tree automaton with global tree equality and disequality constraints, TAGED for short, is an automaton on trees which allows to test (dis)equalities between subtrees which may be...
Emmanuel Filiot, Jean-Marc Talbot, Sophie Tison
AML
2010
96views more  AML 2010»
13 years 7 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
LPAR
2010
Springer
13 years 5 months ago
A Simple Class of Kripke-Style Models in Which Logic and Computation Have Equal Standing
We present a sound and complete model of lambda-calculus reductions based on structures inspired by modal logic (closely related to Kripke structures). Accordingly we can construct...
Michael Gabbay, Murdoch James Gabbay
CALCO
2005
Springer
98views Mathematics» more  CALCO 2005»
14 years 1 months ago
Behavioral Extensions of Institutions
We show that any institution I satisfying some reasonable conditions can be transformed into another institution, Ibeh, which captures formally and abstractly the intuitions of add...
Andrei Popescu, Grigore Rosu