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Expressive Logics for Coalgebras via Terminal Sequence Induction
 Notre Dame J. Formal Logic
, 2002
"... This paper introduces the proof principle of terminal sequence induction and shows, how terminal sequence induction can be used to obtain expressiveness results for logics, interpreted over coalgebras. ..."
Abstract

Cited by 26 (8 self)
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This paper introduces the proof principle of terminal sequence induction and shows, how terminal sequence induction can be used to obtain expressiveness results for logics, interpreted over coalgebras.
Final Coalgebras
"... That is, makes the diagram C R 1 oo 2 // D TC TR T1 oo T2 // TD 1 commute. We call a pair (c; d) 2 C D bisimilar, if 9R C D. R bisimulation and (c; d) 2 R. If c and d are bisimilar, this is denoted by c  d. 2 On Bisimulation If f : A ! B is a function, denote its Graph b ..."
Abstract
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That is, makes the diagram C R 1 oo 2 // D TC TR T1 oo T2 // TD 1 commute. We call a pair (c; d) 2 C D bisimilar, if 9R C D. R bisimulation and (c; d) 2 R. If c and d are bisimilar, this is denoted by c  d. 2 On Bisimulation If f : A ! B is a function, denote its Graph by G(f) = f(a; f(a)) j a 2<F12.2