# Pointwise extensions of GSOS-defined operations

H.H. Hansen, B. Klin

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

7 Citaten (Scopus)

## Samenvatting

Final coalgebras capture system behaviours such as streams, infinite trees and processes. Algebraic operations on a final coalgebra can be defined by distributive laws (of a syntax functor S over a behaviour functor F). Such distributive laws correspond to abstract specification formats. One such format is a generalisation of the GSOS rules known from structural operational semantics of processes. We show that given an abstract GSOS specification ¿ that defines operations s on a final F-coalgebra, we can systematically construct a GSOS specification ¿ that defines the pointwise extension s of s on a final FA-coalgebra. The construction relies on the addition of a family of auxiliary ‘buffer’ operations to the syntax. These buffer operations depend only on A, so the construction is uniform for all s and F.
Originele taal-2 Engels 321-361 41 Mathematical Structures in Computer Science 21 2 https://doi.org/10.1017/S096012951000054X Gepubliceerd - 2011