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Structural Operational Semantics
 Handbook of Process Algebra
, 1999
"... Structural Operational Semantics (SOS) provides a framework to give an operational semantics to programming and specification languages, which, because of its intuitive appeal and flexibility, has found considerable application in the theory of concurrent processes. Even though SOS is widely use ..."
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Cited by 148 (19 self)
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Structural Operational Semantics (SOS) provides a framework to give an operational semantics to programming and specification languages, which, because of its intuitive appeal and flexibility, has found considerable application in the theory of concurrent processes. Even though SOS is widely used in programming language semantics at large, some of its most interesting theoretical developments have taken place within concurrency theory. In particular, SOS has been successfully applied as a formal tool to establish results that hold for whole classes of process description languages. The concept of rule format has played a major role in the development of this general theory of process description languages, and several such formats have been proposed in the research literature. This chapter presents an exposition of existing rule formats, and of the rich body of results that are guaranteed to hold for any process description language whose SOS is within one of these formats. As far as possible, the theory is developed for SOS with features like predicates and negative premises.
Finite axiom systems for testing preorder and De Simone Process Languages
, 2000
"... We prove that testing preorder of De Nicola and Hennessy is preserved by all operators of De Simone process languages. Building upon this result we propose an algorithm for generating axiomatisations of testing preorder for arbitrary De Simone process languages. The axiom systems produced by our alg ..."
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Cited by 10 (2 self)
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We prove that testing preorder of De Nicola and Hennessy is preserved by all operators of De Simone process languages. Building upon this result we propose an algorithm for generating axiomatisations of testing preorder for arbitrary De Simone process languages. The axiom systems produced by our algorithm are finite and complete for processes with nite behaviour. In order to achieve completeness for a subclass of processes with infiite behaviour we use one infinitary induction rule. The usefulness of our results is illustrated in specification and verification of small concurrent systems, where suspension, resumption and alternation of execution of component systems occur. We argue that better speci cations can be written in customised De Simone process languages, which contain both the standard operators as well as new De Simone operators that are specifically tailored for the task in hand. Moreover, the automatically generated axiom systems for such specification languages make the verification more straightforward.
Axiomatisations of Weak Equivalences for De Simone Languages
 Proceedings of the 6th International Conference on Concurrency Theory CONCUR'95
, 1995
"... . Aceto, Bloom and Vaandrager proposed in [ABV92] a procedure for generating a complete axiomatisation of strong bisimulation for process languages in the GSOS format. However, the choice operator +, which the procedure uses, as well as other auxiliary GSOS operators, which it introduces to obtain a ..."
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Cited by 9 (2 self)
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. Aceto, Bloom and Vaandrager proposed in [ABV92] a procedure for generating a complete axiomatisation of strong bisimulation for process languages in the GSOS format. However, the choice operator +, which the procedure uses, as well as other auxiliary GSOS operators, which it introduces to obtain a finite axiomatisation, do not preserve many of weak equivalences. We propose a modification of this procedure, which works for a subclass of process languages in the De Simone format with a special treatment of silent actions. A choice of such a subclass of process languages guarantees that all the considered and auxiliary operators preserve many of weak equivalences. Our procedure generates a complete axiomatisation of refusal simulation preorder and it can be easily adapted to coarser preorders. The completeness result depends on the completeness result for the basic process language, which we prove. This language does not use prefixing with ø and the choice operator +. Instead, we employ...
Formats of Ordered SOS Rules with Silent Actions
 Proceedings 7th Conference on Theory and Practice of Software Development (TAPSOFT'97), Lille, LNCS 1214
, 1997
"... We present a general and uniform method for defining structural operational semantics (SOS) of process algebra operators by traditional Plotkinstyle rules equipped with an ordering, the new feature which states the order of application of rules when deriving transitions of process terms. Our method ..."
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Cited by 7 (3 self)
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We present a general and uniform method for defining structural operational semantics (SOS) of process algebra operators by traditional Plotkinstyle rules equipped with an ordering, the new feature which states the order of application of rules when deriving transitions of process terms. Our method allows to represent negative premises and copying in the presence of silent actions. We identify a number of general formats of unordered and ordered rules with silent actions and show that divergence sensitive branching and weak bisimulation relations are preserved by all operators in the relevant formats. A comparison with the existing formats for branching and weak bisimulations shows that our formats are more general.
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"... A FullyAbstract Model for the πcalculus This paper provides both a fully abstract (domaintheoretic) model for the πcalculus and a universal (settheoretic) model for the finite πcalculus with respect to strong late bisimulation and congruence. This is done by: considering categorical models, def ..."
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A FullyAbstract Model for the πcalculus This paper provides both a fully abstract (domaintheoretic) model for the πcalculus and a universal (settheoretic) model for the finite πcalculus with respect to strong late bisimulation and congruence. This is done by: considering categorical models, defining a metalanguage for these models, and translating the πcalculus into the metalanguage. A technical novelty of our approach is an abstract proof of full abstraction: The result on full abstraction for the finite πcalculus in the settheoretic model is axiomatically extended to the whole πcalculus with respect to the domaintheoretic interpretation. In this proof, a central role is played by the description of nondeterminism as a free construction and by the equational theory of the metalanguage.