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14
Rule formats for determinism and idempotence
 In Proceedings of the 3rd International Conference on Fundamentals of Software Engineering (FSEN’09), Lecture Notes in Computer Science, Kish Island
, 2009
"... Abstract. Determinism is a semantic property of (a fragment of) a language that specifies that a program cannot evolve operationally in several different ways. Idempotency is a property of binary composition operators requiring that the composition of two identical specifications or programs will re ..."
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Abstract. Determinism is a semantic property of (a fragment of) a language that specifies that a program cannot evolve operationally in several different ways. Idempotency is a property of binary composition operators requiring that the composition of two identical specifications or programs will result in a piece of specification or program that is equivalent to the original components. In this paper, we propose two (related) metatheorems for guaranteeing determinism and idempotency of binary operators. These metatheorems are formulated in terms of syntactic templates for operational semantics, called rule formats. We show the applicability of our formats by applying them to various operational semantics from the literature. 1
Reniers. A rule format for unit elements
, 2009
"... Abstract. This paper offers a metatheorem for languages with a Structural Operational Semantics (SOS) in the style of Plotkin. Namely, it proposes a generic rule format for SOS guaranteeing that certain constants act as left or rightunit elements for a set of binary operators. We show the general ..."
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Abstract. This paper offers a metatheorem for languages with a Structural Operational Semantics (SOS) in the style of Plotkin. Namely, it proposes a generic rule format for SOS guaranteeing that certain constants act as left or rightunit elements for a set of binary operators. We show the generality of our format by applying it to a wide range of operators from the literature on process calculi. 1
A Rule Format for Associativity
"... Abstract. We propose a rule format that guarantees associativity of binary operators with respect to all notions of behavioral equivalence that are defined in terms of (im)possibility of transitions, e.g., the notions below strong bisimilarity in van Glabbeek’s spectrum. The initial format is a subs ..."
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Cited by 6 (5 self)
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Abstract. We propose a rule format that guarantees associativity of binary operators with respect to all notions of behavioral equivalence that are defined in terms of (im)possibility of transitions, e.g., the notions below strong bisimilarity in van Glabbeek’s spectrum. The initial format is a subset of the De Simone format. We show that all trivial generalizations of our format are bound for failure. We further extend the format in a few directions and illustrate its application to several formalisms in the literature. A subset of the format is studied to obtain associativity with respect to graph isomorphism. 1
Contributions to the Theory of Syntax with Bindings and to Process Algebra
, 2010
"... We develop a theory of syntax with bindings, focusing on: methodological issues concerning the convenient representation of syntax; techniques for recursive definitions and inductive reasoning. Our approach consists of a combination of FOAS (FirstOrder Abstract Syntax) and HOAS (HigherOrder Abst ..."
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Cited by 5 (4 self)
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We develop a theory of syntax with bindings, focusing on: methodological issues concerning the convenient representation of syntax; techniques for recursive definitions and inductive reasoning. Our approach consists of a combination of FOAS (FirstOrder Abstract Syntax) and HOAS (HigherOrder Abstract Syntax) and tries to take advantage of the best of both worlds. The connection between FOAS and HOAS follows some general patterns and is presented as a (formally certified) statement of adequacy. We also develop a general technique for proving bisimilarity in process algebra Our technique, presented as a formal proof system, is applicable to a wide range of process algebras. The proof system is incremental, in that it allows building incrementally an a priori unknown bisimulation, and patternbased, in that it works on equalities of process patterns (i.e., universally quantified equations of process terms containing process variables), thus taking advantage of equational reasoning in a “circular ” manner, inside coinductive proof loops. All the work presented here has been formalized in the Isabelle theorem prover. The formalization is performed in a general setting: arbitrary manysorted syntax with bindings and arbitrary SOSspecified process algebra in de Simone format. The usefulness of our techniques is illustrated by several formalized case studies: a development of callbyname and callbyvalue λcalculus with constants, including ChurchRosser theorems, connection with de Bruijn representation, connection with other Isabelle formalizations, HOAS representation, and contituationpassingstyle (CPS) transformation; a proof in HOAS of strong normalization for the polymorphic secondorder λcalculus (a.k.a. System F). We also indicate the outline and some details of the formal development. ii to Leili R. Marleene iii
Incremental patternbased coinduction for process algebra and its Isabelle formalization
"... Abstract. We present a coinductive proof system for bisimilarity in transition systems specifiable in the de Simone SOS format. Our coinduction is incremental, in that it allows building incrementally an a priori unknown bisimulation, and patternbased, in that it works on equalities of process patt ..."
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Abstract. We present a coinductive proof system for bisimilarity in transition systems specifiable in the de Simone SOS format. Our coinduction is incremental, in that it allows building incrementally an a priori unknown bisimulation, and patternbased, in that it works on equalities of process patterns (i.e., universally quantified equations of process terms containing process variables), thus taking advantage of equational reasoning in a “circular ” manner, inside coinductive proof loops. The proof system has been formalized and proved sound in Isabelle/HOL. 1
Synthesizing Glue Operators from Glue Constraints for the Construction of ComponentBased Systems
"... Abstract. We study glue operators used in componentbased frameworks to obtain systems as the composition of atomic components described as labeled transition systems (LTS). Glue operators map tuples of LTS into LTS. They restrict the behavior of their arguments by performing memoryless coordination ..."
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Abstract. We study glue operators used in componentbased frameworks to obtain systems as the composition of atomic components described as labeled transition systems (LTS). Glue operators map tuples of LTS into LTS. They restrict the behavior of their arguments by performing memoryless coordination. In a previous paper, we have proposed a simple format for SOS rules that captures, in particular, glue operators from known frameworks such as CCS, SCCS, CSP, and BIP. This paper studies a new way for characterizing glue operators: as boolean glue constraints between interactions (sets of ports) and the state of the coordinated components. We provide an SOS format for glue, which allows a natural correspondence between glue operators and glue constraints. This correspondence is used for automated synthesis of glue operators implementing given glue constraints. By focusing on the properties that do not bear computation, we reduce a very hard (and, in general, undecidable) problem of synthesizing controllers to a tractable one. The examples in the paper show that such properties are natural and can be expressed as glue constraints in a straightforward manner. Finally, we compare expressiveness of the proposed formalisms with the glue used in the BIP framework and discuss possible applications. 1
Axiomatizing Bisimulation Equivalences and Metrics from Probabilistic SOS Rules
 In Proc. FoSSaCS’14, volume 8412 of LNCS
, 2014
"... Abstract. Probabilistic transition system specifications (PTSS) provide structural operational semantics for reactive probabilistic labeled transition systems. Bisimulation equivalences and bisimulation metrics are fundamental notions to describe behavioral relations and distances of states, respec ..."
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Abstract. Probabilistic transition system specifications (PTSS) provide structural operational semantics for reactive probabilistic labeled transition systems. Bisimulation equivalences and bisimulation metrics are fundamental notions to describe behavioral relations and distances of states, respectively. We provide a method to generate from a PTSS a sound and groundcomplete equational axiomatization for strong and convex bisimilarity. The construction is based on the method of Aceto, Bloom and Vaandrager developed for nondeterministic transition system specifications. The novelty in our approach is to employ manysorted algebras to axiomatize separately nondeterministic choice, probabilistic choice and their interaction. Furthermore, we generalize this method to axiomatize the strong and convex metric bisimulation distance of PTSS. 1
Nature
, 1993
"... We present a format for the specification of probabilistic transition systems that guarantees that bisimulation equivalence is a congruence for any operator defined in this format. In this sense, the format is somehow comparable to the ntyft/ntyxt format in a nonprobabilistic setting. We also study ..."
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We present a format for the specification of probabilistic transition systems that guarantees that bisimulation equivalence is a congruence for any operator defined in this format. In this sense, the format is somehow comparable to the ntyft/ntyxt format in a nonprobabilistic setting. We also study the modular construction of probabilistic transition systems specifications and prove that some standard conservative extension theorems also hold in our setting. Finally, we show that the trace congruence for imagefinite processes induced by our format is precisely bisimulation on probabilistic systems. Note:
Dogfooding the Structural Operational Semantics of mCRL2
"... The mCRL2 language is a formal specification language that is used to specify and model the behavior of distributed systems and protocols. With the accompanying toolset, it is possible to simulate, visualize, analyze and verify behavioral properties of mCRL2 models automatically. The semantics of th ..."
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The mCRL2 language is a formal specification language that is used to specify and model the behavior of distributed systems and protocols. With the accompanying toolset, it is possible to simulate, visualize, analyze and verify behavioral properties of mCRL2 models automatically. The semantics of the mCRL2 language is defined formally using Structural Operational Semantics (SOS) but implemented manually in the underlying toolset using C++. Like with most formal languages, the underlying toolset was created with the formal semantics in mind but there is no way to actually guarantee that the implementation matches the intended semantics. To validate that the implemented behavior for the mCRL2 language corresponds to its formal semantics, we describe the SOS deduction rules of the mCRL2 language, and perform the transformation from the mCRL2’s SOS deduction rules to a Linear Process Specification. As our transformation directly takes the SOS deduction rules and transforms them into mCRL2 data equations, we are basically feeding the mCRL2 toolset its own formal language definition.