Title
On Fork Arrow Logic and its Expressive Power
Abstract
We compare fork arrow logic, an extension of arrow logic, and its natural first-order counterpart (the correspondence language) and show that both have the same expressive power. Arrow logic is a modal logic for reasoning about arrow structures, its expressive power is limited to a bounded fragment of first-order logic. Fork arrow logic is obtained by adding to arrow logic the fork modality (related to parallelism and synchronization). As a result, fork arrow logic attains the expressive power of its first-order correspondence language, so both can express the same input–output behavior of processes.
Year
DOI
Venue
2007
10.1007/s10992-006-9043-x
J. Philosophical Logic
Keywords
Field
DocType
standard translation,modal logic,relation algebra,expressive power,fork algebra,arrow logic,input output,first order logic,philosophy,first order
Computational logic,Algorithm,Multimodal logic,Philosophy of logic,Many-valued logic,Predicate logic,Higher-order logic,Intermediate logic,Mathematics,Dynamic logic (modal logic)
Journal
Volume
Issue
ISSN
36
5
1573-0433
Citations 
PageRank 
References 
1
0.37
3
Authors
5
Name
Order
Citations
PageRank
Paulo A. S. Veloso1226183.55
Renata P. de Freitas2385.53
Petrucio Viana3354.85
Mario R. F. Benevides414323.75
Sheila R. M. Veloso57414.47