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Verification of component-based systems with recursive architectures.

Authors :
Bozga, Marius
Iosif, Radu
Sifakis, Joseph
Source :
Theoretical Computer Science. Jan2023:Part A, Vol. 940, p146-175. 30p.
Publication Year :
2023

Abstract

We study a sound verification method for parametric component-based systems. The method uses a resource logic, a new formal specification language for distributed systems consisting of a finite yet unbounded number of components. The logic allows the description of architecture configurations coordinating instances of a finite number of types of components, by means of inductive definitions similar to the ones used to describe algebraic data types or recursive data structures. For parametric systems specified in this logic, we show that decision problems such as reaching deadlock or violating critical section are undecidable, in general. Despite this negative result, we provide for these decision problems practical semi-algorithms relying on the automatic synthesis of structural invariants allowing the proof of general safety properties. The invariants are defined using the WS κ S fragment of the monadic second order logic, known to be decidable by a classical automata-logic connection, thus reducing a verification problem to checking satisfiability of a WS κ S formula. • We introduce a logic-based language for describing sets of configurations of parameterized distributed systems. • The language uses predicate symbols to hierarchically decompose the system architecture into specific patterns. • We address a parametric safety problem i.e., checking that reachable configurations stay clear of error configurations. • We show that deadlock freedom and critical section violation problems are undecidable, even for simple architectures. • We develop a verification method that synthesizes parametric invariants described using a decidable fragment of MSO. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03043975
Volume :
940
Database :
Academic Search Index
Journal :
Theoretical Computer Science
Publication Type :
Academic Journal
Accession number :
160400911
Full Text :
https://doi.org/10.1016/j.tcs.2022.10.022