Architecture Modeling - SPES 2020

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Architecture Modeling Ports may be either discrete, transmitting discrete values or events, or continuous, if they serve to transmit values of type real. Thus, P = PD ⊎ PC. Traces assign to discrete ports, for each point in time, a discrete value, resp., the information of presence or absence of the event. To continuous ports, a real value is assigned, obeying certain smoothness conditions (see below). To accomodate hybrid behavior with continuous evolutions and discrete interaction, our time domain is two-dimensional. Continuous evolutions may be interrupted by sequences of discrete actions which take no physical time. This enables a sufficiently accurate and reasonably abstract modelling of hybrid systems. Definition 6.2.4 (HRC Time) The time domain for HRC traces is (TimeHRC,
Architecture Modeling Traces according to Definition 6.2.5 can adequately represent the evolutions of HRC state machines as used e. g. in Sec. 6.1: Discrete transitions happen at certain points in time in the second time dimension, while between discrete transitions all changes are continuous (and discrete ports do not change their values). The parallel composition of components is defined by (essentially) the intersection of the parts composed in parallel. Definition 6.2.6 (Semantics of Composition) Let a hierarchically defined component M with port set P and parts Mi, i = 1,...,n be given. 1. There are substitutions ρi, i = 1,...,n which map the port names of the Mi to the names of assembly and delegation connectors they are connected to, and there is a substitution ρ which similarly maps the delegation connectors to the names of the ports of M. We call these substitutions the connecting substitutions of M. 2. The semantics of the composition is defined formally by: n [[M]] = [[Mi]]ρi i=1 6.3 Syntax and Semantics of Contracts 6.3.1 Contract Basics For the formalization of specifications, we assume a logic whose formulas A, G, . . . serve to define sets of traces. Thus, the semantics of the logics assigns sets of traces to formulas, denoted by [[G]], [[A]], etc. A suitable logic in the design context could be a first-order extension of linear-time temporal logic, or, more general, a second-order logic with primitve sorts Value and Time and the second-order sort Port for ports as functions from Time to Value. Contracts are constructed from formulas as triples (As,Aw,G) with strong (As) and weak (Aw) assumptions and guarantee G. We usually assume the interface of a component be given, i. e., a set of ports with types and directions, and require that the three constituing formulas of the contract refer to this port set. If necessary, the port sets of the constituing formulas are extended to the set of component ports. In a contract, the assumptions may be viewed as antecedents and the guarantee as conclusion. Formally, there is no semantical distinction between strong and weak assumptions — they are to be conjuncted. Their different roles are just methodological in nature. Definition 6.3.1 (Contract Semantics) The semantics of a contract C = (As,Aw,G) is given by the following equation. where (.) cmpl denotes complementation. ρ ↓P [[C]] =def ([[As]] ∩ [[Aw]]) cmpl ∪ [[G]] , Remark 6.3.2 (Contracts as Formulas) If negation or implication is available in the assertion logic, a contract can be translated into a formula: form((As,Aw,G)) =def ¬As ∨ ¬Aw ∨ G , or form((As,Aw,G)) =def As ∧ Aw ⇒ G . 145/ 156
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Architecture Modeling ∗ Andreas B
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Contents 1 Introduction 1 2 Quick-T
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1 Introduction This document propos
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Architecture Modeling allowing to m
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Architecture Modeling creating a vi
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Architecture Modeling the design it
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Architecture Modeling of the logica
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Architecture Modeling realization o
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Architecture Modeling can usually o
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3 The Architecture Meta-Model In Se
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Abstraction-Levels (detail increase
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3.2.2 Functional Perspective Archit
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Architecture Modeling The semantics
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Architecture Modeling expressed by
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Architecture Modeling computing cap
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3.2.5 Geometrical Perspective Archi
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ShapeCompositionOperator intersecti
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Architecture Modeling The constrain
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established if (and only if): Archi
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5 Using the Architecture Meta-Model
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Architecture Modeling Design proces
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Page 155 and 156: Architecture Modeling Decomposition
Page 157 and 158: Bibliography [1] ARINC 653 - Avioni
Page 159 and 160: Architecture Modeling [26] Holger G
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