Chi calculus was proposed as a process calculus that has a uniform treatment of names. Preliminary properties of chi calculus have been examined in literature. In this paper a more systematic study of bisimilarities for chi processes is carried out. The notion of L-bisimilarity is introduced to give a possible classification of bisimilarities on chi processes. It is shown that the set of L-bisi...

The possibility of partial failure occuring at any stage of computation complicates rigorous formal treatment of distributed algorithms. We propose a methodology for formalising and proving the correctness of distributed algorithms which alleviates this complexity. The methodology uses fault-tolerance bisimulation proof techniques to split the analysis into two phases, that is a failurefree pha...

LLE Review, Volume 134 136 Introduction Selective removal of subgingival dental calculus is a preferred treatment method in nonsurgical periodontal therapy. While complete removal of calculus and disease-causing agents (i.e., oral bacteria) is of primary importance, leaving behind a hard tissue surface less prone to bacterial accumulation is also important. Grooves and craters resulting from co...

The intrinsic treatment of binding in the lambda calculus makes it an ideal data structure for representing syntactic objects with binding such as formulas, proofs, types, and programs. Supporting such a data structure in an implementation is made difficult by the complexity of the substitution operation relative to lambda terms. To remedy this, researchers have suggested representing the meta ...

The principal objective of periodontal therapy is the conservative elimination of soft and hard bacterial deposits on the root surface and to prevent recolonization of periodontal pockets by pathogenetic bacteria (Cobb, 1996; Van der Weijden et al, 2002). The rationale for the complete elimination of calcified hard deposits is based of the etiology of chronic destructive periodontal diseases. T...

The intrinsic treatment of binding in the lambda calculus makes it an ideal data structure for representing syntactic objects with binding such as formulas, proofs, types, and programs. Supporting such a data structure in an implementation is made difficult by the complexity of the substitution operation relative to lambda terms. To remedy this, researchers have suggested representing the meta ...

Whilst results from Structural Proof Theory can be couched in many formalisms, it is the sequent calculus which is the most amenable of the formalisms to metamathematical treatment. As such, we present some tools and techniques so that formalisations of results in sequent calculi can proceed more smoothly. The proof assistant Isabelle is used, along with the package for reasoning about first-or...

Non-human primates have been extensively used in periodontal research to investigate the pathogenesis of periodontal disease, use of dental implants, guided tissue regeneration and other surgical procedures. Rats and hamsters are best suited for caries and calculus research. Ferrets may be a promising new model for studying periodontal disease and calculus formation. Beagle dogs are best suited...