LO(ID:1566/lo:001)

Linear Objects 

Linear Objects. Concurrent logic programming language based on "linear logic", an extension of Horn logic with a new kind of OR- concurrency.

Structures:
References:
  • Andreoli J. et al,"LO and Behold! Concurrent Structured Processes" pp44-56 view details
          in COMPUTERWOCHE 38(19) September 1975 view details
  • Philippsen, Michael "A survey of concurrent object-oriented languages" pp917-980 view details
          in Concurrency: Practice and Experience 2000 v12 view details
  • Bozzano, M ; Delzanno, G ; Martelli, M :Model Checking Linear Logic Specifications" Under consideration (Sept 2003) for publication in "Theory and Practice of Logic Programming" view details Abstract: The overall goal of this paper is to investigate the theoretical foundations of algorithmic verification techniques for first order linear logic specifications. The fragment of linear logic we consider in this paper is based on the linear logic programming language called LO enriched with universally quantified goal formulas. Although LO was originally introduced as a theoretical foundation for extensions of logic programming languages, it can also be viewed as a very general language to specify a wide range of infinite-state concurrent systems. Our approach is based on the relation between backward reachability and provability highlighted in our previous work on propositional LO programs. Following this line of research, we define here a general framework for the bottom-up evaluation of first order linear logic specifications. The evaluation procedure is based on an effective fixpoint operator working on a symbolic representation of infinite collections of first order linear logic formulas. The theory of well quasi-orderings can be used to provide sufficient conditions for the termination of the evaluation of non trivial fragments of first order linear logic.

    External link: Online copy
          in Concurrency: Practice and Experience 2000 v12 view details