A Dynamic Logic for Every Season

Madeira, Alexandre; Neves, Renato; Martins, Manuel A.; Barbosa, Lu­ís Soares

doi:10.1007/978-3-319-15075-8_9

Cited by 10 publications

(16 citation statements)

References 18 publications

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“…This extends our previous work [29] in a number of directions, namely, the explicit consideration of [_]-modalities, negations and tests. This is, however, the beginning of a more ambitious project on the systematic generation of dynamic logics, their theory and tool support.…”

Section: Discussionmentioning

confidence: 80%

“…The joint work with Luís S. Barbosa in several related topics, including the preliminary work about dynamisation (reported in [29]), as well as productive discussions in the preparation of this paper, were determinant for achieving the reported results. We are very grateful to him.…”

Section: Acknowledgementsmentioning

confidence: 83%

“…The remaining cases are proved in the sequel. Equation (29) holds since is the greatest element of the lattice, i.e., that for any a ∈ A, a ≤ .…”

Section: Lemma 1 Let a Be An Action Latticementioning

confidence: 98%

“…We will adopt this notation in the sequel. Examples of interpretations of programs in action lattice N + ⊥ can be found in [28,29].…”

Section: Gdl(a)-models For a Set Of Propositions Prop And Programs mentioning

confidence: 99%

“…Now we discuss a number of illustrative examples. Among them, Examples 1, 2, 4, and 5 were already presented in [29]. with the standard boolean connectives:…”

Section: Lemma 1 Let a Be An Action Latticementioning

confidence: 99%

See 4 more Smart Citations

An exercise on the generation of many-valued dynamic logics

Madeira

Neves

Martins

2016

Journal of Logical and Algebraic Methods in Programming

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In the last decades, dynamic logics have been used in different domains as a suitable formalism to reason about and specify a wide range of systems. On the other hand, logics with many-valued semantics are emerging as an interesting tool to handle devices and scenarios where uncertainty is a prime concern. This paper contributes towards the combination of these two aspects through the development of a method for the systematic construction of many-valued dynamic logics. Technically, the method is parameterised by an action lattice that defines both the computational paradigm and the truth space (corresponding to the underlying Kleene algebra and residuated lattices, respectively).

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Section: Discussionmentioning

confidence: 80%

Section: Acknowledgementsmentioning

confidence: 83%

“…The remaining cases are proved in the sequel. Equation (29) holds since is the greatest element of the lattice, i.e., that for any a ∈ A, a ≤ .…”

Section: Lemma 1 Let a Be An Action Latticementioning

confidence: 98%

“…We will adopt this notation in the sequel. Examples of interpretations of programs in action lattice N + ⊥ can be found in [28,29].…”

Section: Gdl(a)-models For a Set Of Propositions Prop And Programs mentioning

confidence: 99%

“…Now we discuss a number of illustrative examples. Among them, Examples 1, 2, 4, and 5 were already presented in [29]. with the standard boolean connectives:…”

Section: Lemma 1 Let a Be An Action Latticementioning

confidence: 99%

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An exercise on the generation of many-valued dynamic logics

Madeira

Neves

Martins

2016

Journal of Logical and Algebraic Methods in Programming

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Verification for Everyone? An Overview of Dynamic Logic

Madeira

2019

Molecular Logic and Computational Synthetic Biology

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Logics for Petri Nets with Propagating Failures

Gomes

Madeira

Benevides

2019

Fundamentals of Software Engineering

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Petri nets play a central role in the formal modelling of a wide range of complex systems and scenarios. Their ability to handle with both concurrency and resource awareness justifies their spread in the current formal development practices. On the logic side, Dynamic Logics are widely accepted as the de facto formalisms to reason about computational systems. However, as usual, the application to new situations raises new challenges and issues. The ubiquity of failures in the execution of current systems, interpreted in these models as triggered events that are not followed by the corresponding transition, entails not only the adjustment of these structures to deal with this reality, but also the introduction of new logics adequate to this emerging phenomenon. This paper contributes to this challenge by exploring a combination of two previous works of the authors, namely the Propositional Dynamic Logic for Petri Nets [1] and a parametric construction of multi-valued dynamic logics presented in [13]. This exercise results in a new family of Dynamic Logics for Petri Nets suitable to deal with firing failures.

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A Dynamic Logic for Every Season

Cited by 10 publications

References 18 publications

An exercise on the generation of many-valued dynamic logics

An exercise on the generation of many-valued dynamic logics

Verification for Everyone? An Overview of Dynamic Logic

Logics for Petri Nets with Propagating Failures

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