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Register a new userAutomated Verification, Synthesis and Correction of Concurrent Systems via MSO Logic
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Mateus de Oliveira Oliveira
Publication date
2014
fields
Informatics Engineering
and research's language is
English
Authors
Mateus de Oliveira Oliveira
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In this work we provide algorithmic solutions to five fundamental problems concerning the verification, synthesis and correction of concurrent systems that can be modeled by bounded p/t-nets. We express concurrency via partial orders and assume that behavioral specifications are given via monadic second order logic. A c-partial-order is a partial order whose Hasse diagram can be covered by c paths. For a finite set T of transitions, we let P(c,T,phi) denote the set of all T-labelled c-partial-orders satisfying phi. If N=(P,T) is a p/t-net we let P(N,c) denote the set of all c-partially-ordered runs of N. A (b, r)-bounded p/t-net is a b-bounded p/t-net in which each place appears repeated at most r times. We solve the following problems: 1. Verification: given an MSO formula phi and a bounded p/t-net N determine whether P(N,c)subseteq P(c,T,phi), whether P(c,T,phi)subseteq P(N,c), or whether P(N,c)cap P(c,T,phi)=emptyset. 2. Synthesis from MSO Specifications: given an MSO formula phi, synthesize a semantically minimal (b,r)-bounded p/t-net N satisfying P(c,T,phi)subseteq P(N, c). 3. Semantically Safest Subsystem: given an MSO formula phi defining a set of safe partial orders, and a b-bounded p/t-net N, possibly containing unsafe behaviors, synthesize the safest (b,r)-bounded p/t-net N whose behavior lies in between P(N,c)cap P(c,T,phi) and P(N,c). 4. Behavioral Repair: given two MSO formulas phi and psi, and a b-bounded p/t-net N, synthesize a semantically minimal (b,r)-bounded p/t net N whose behavior lies in between P(N,c) cap P(c,T,phi) and P(c,T,psi). 5. Synthesis from Contracts: given an MSO formula phi^yes specifying a set of good behaviors and an MSO formula phi^no specifying a set of bad behaviors, synthesize a semantically minimal (b,r)-bounded p/t-net N such that P(c,T,phi^yes) subseteq P(N,c) but P(c,T,phi^no ) cap P(N,c)=emptyset.
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