| 1. |
- Aceto, Luca, et al.
(författare)
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A rule format for unit elements
- 2010
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Ingår i: SOFSEM 2010. - Berlin : Springer Berlin/Heidelberg. - 9783642112652 - 9783642112669 ; , s. 141-152
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Konferensbidrag (refereegranskat)abstract
- This paper offers a meta-theorem 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 right-unit 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.
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| 2. |
- Aceto, Luca, et al.
(författare)
-
Exploiting Algebraic Laws to Improve Mechanized Axiomatizations
- 2013
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Ingår i: Algebra and Coalgebra in Computer Science. - Berlin : Springer Berlin/Heidelberg. - 9783642402067 - 9783642402050 ; , s. 36-50
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Konferensbidrag (refereegranskat)abstract
- In the field of structural operational semantics (SOS), there have been several proposals both for syntactic rule formats guaranteeing the validity of algebraic laws, and for algorithms for automatically generating ground-complete axiomatizations. However, there has been no synergy between these two types of results. This paper takes the first steps in marrying these two areas of research in the meta-theory of SOS and shows that taking algebraic laws into account in the mechanical generation of axiomatizations results in simpler axiomatizations. The proposed theory is applied to a paradigmatic example from the literature, showing that, in this case, the generated axiomatization coincides with a classic hand-crafted one. © 2013 Springer-Verlag Berlin Heidelberg.
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| 3. |
- Aceto, Luca, et al.
(författare)
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Impossibility results for the equational theory of timed CCS
- 2007
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Ingår i: Algebra and Coalgebra in Computer Science. - Berlin : Springer Berlin/Heidelberg. - 9783540738572 - 9783540738596 ; , s. 80-95
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Konferensbidrag (refereegranskat)abstract
- We study the equational theory of Timed CCS as proposed by Wang Yi in CONCUR'90. Common to Wang Yi's paper, we particularly focus on a class of linearly-ordered time domains exemplified by the positive real or rational numbers. We show that, even when the set of basic actions is a singleton, there are parallel Timed CCS processes that do not have any sequential equivalent and thus improve on the Gap Theorem for Timed CCS presented by Godskesen and Larsen in FSTTCS'92. Furthermore, we show that timed bisimilarity is not finitely based both for single-sorted and two-sorted presentations of Timed CCS. We further strengthen this result by showing that, unlike in some other process algebras, adding the untimed or the timed left-merge operator to the syntax and semantics of Timed CCS does not solve the axiomatizability problem.
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| 4. |
- Aceto, Luca, et al.
(författare)
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Lifting non-finite axiomatizability results to extensions of process algebras
- 2008
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Ingår i: Fifth Ifip International Conference On Theoretical Computer Science – Tcs 2008. - New York : Springer-Verlag New York. - 9780387096797 - 9780387096803 ; , s. 301-316
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Konferensbidrag (refereegranskat)abstract
- This paper presents a general technique for obtaining new results pertaining to the non-finite axiomatizability of behavioral semantics over process algebras from old ones. The proposed technique is based on a variation on the classic idea of reduction mappings. In this setting, such reductions are translations between languages that preserve sound (in)equations and (in)equational proofs over the source language, and reflect families of (in)equations responsible for the non-finite axiomatizability of the target language. The proposed technique is applied to obtain a number of new non-finite axiomatizability theorems in process algebra via reduction to Moller’s celebrated non-finite axiomatizability result for CCS. The limitations of the reduction technique are also studied.
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| 5. |
- Aceto, Luca, et al.
(författare)
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Rule Formats for Distributivity
- 2011
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Ingår i: Language and Automata Theory and Applications. - Heidelberg : Springer Berlin/Heidelberg. - 9783642212536 ; , s. 79-90
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Konferensbidrag (refereegranskat)abstract
- This paper proposes rule formats for Structural Operational Semantics guaranteeing that certain binary operators are left distributive with respect to a set of binary operators. Examples of left-distributivity laws from the literature are shown to be instances of the provided formats. © 2011 Springer-Verlag.
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