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Initial algebra

In mathematics, an initial algebra is an initial object in the category of -algebras for a given endofunctor . The initiality provides a general… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Larsen and Skou characterized probabilistic bisimilarity over reactive probabilistic systems with a logic including true… 
2015
2015
Software systems nowadays require continuous operation despite changes both in user needs and in their operational environments… 
2015
2015
We express the classical p-adic integers Ẑp, as a metric space, as the final coalgebra to a certain endofunctor. We realize the… 
2007
2007
MICHEL BIDOIT†, DONALD SANNELLA‡ and ANDRZEJ TARLECKI§ † Laboratoire Spécification et Vérification, CNRS & ENS de Cachan, France… 
2003
2003
The initial truth refers to those properties which are valid in initial models. In this paper we show how the initial truth can… 
2000
2000
Recursive schemes over inductive data structures have been recognized as category-theoretic universals, yielding a handful of… 
1995
1995
The idea of the work is to find an invariant way to pass from deformation theory to cohomology, which does not use any explicit… 
1985
1985
We study in this chapter initial semantics of equational specifications. In contrast to the former, mainly introductory chapter… 
1978
1978
  • A. Kanda
  • 1978
  • Corpus ID: 17278319
This paper presents a formulation within the framework of data types as initial algebras, of parameterizations of data types. We… 
1976
1976
This paper presents a formulation, within the framework of initial algebra semantics, of Knuthian semantic systems (K-systems…