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» A coinductive calculus of binary trees
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IANDC
2010
128views more  IANDC 2010»
13 years 9 months ago
A coinductive calculus of binary trees
We study the set TA of infinite binary trees with nodes labelled in a semiring A from a coalgebraic perspective. We present coinductive definition and proof principles based on ...
Alexandra Silva, Jan J. M. M. Rutten
CALCO
2007
Springer
129views Mathematics» more  CALCO 2007»
14 years 3 months ago
CIRC : A Circular Coinductive Prover
Abstract. CIRC is an automated circular coinductive prover implemented as an extension of Maude. The circular coinductive technique that forms the core of CIRC is discussed, togeth...
Dorel Lucanu, Grigore Rosu
CEFP
2009
Springer
13 years 9 months ago
Reasoning about Codata
Programmers happily use induction to prove properties of recursive programs. To show properties of corecursive programs they employ coinduction, but perhaps less enthusiastically. ...
Ralf Hinze
LICS
2005
IEEE
14 years 4 months ago
Eager Normal Form Bisimulation
This paper describes two new bisimulation equivalences for the pure untyped call-by-value λ-calculus, called enf bisimilarity and enf bisimilarity up to η. They are based on eag...
Soren Lassen
LICS
2002
IEEE
14 years 4 months ago
Tree Extension Algebras: Logics, Automata, and Query Languages
We study relations on trees defined by first-order constraints over a vocabulary that includes the tree extension relation Ì Ì ¼, holding if and only if every branch of Ì ex...
Michael Benedikt, Leonid Libkin