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We review several applications of the implicit parametrization theorem in optimization. In nonlinear programming, we discuss both new forms, with less multipliers, of the known optimality conditions, and new algorithms of global type. For optimal control problems, we analyze the case of mixed equality constraints and indicate an algorithm, while in shape optimization problems the emphasis is on the new penalization approach.

International audience; Multiparty sessions are systems of concurrent processes, which allow several participants to communicate by sending and receiving messages. Their overall behaviour can be described by means of global types. Typable multiparty sessions enjoy lock-freedom. We look at multiparty sessions as open systems by allowing one to compose multiparty sessions by transforming two of their participants into a pair of coupled gateways, forwarding messages between the two sessions. Gateways need to be compatible. We show that the session resulting from the composition can be typed, and its type can be computed from the global types of the starting sessions. As a consequence, lock-freedom is preserved by composition. Compatibility between global types is necessary, since systems obtained by composing sessions with incompatible global types have locks (or they are not sessions). We also define direct composition, which allows one to connect two global types without using gateways. Finally, we propose a decomposition operator, to split a global type into two, which is the left inverse of direct composition. Direct composition and decomposition on global types prepare the ground for a novel framework allowing for the modular design and implementation of distributed systems.

In this paper we study regularity of partial differential equations with polynomial coefficients in non isotropic Beurling spaces of ultradifferentiable functions of global type. We study the action of transformations of Gabor and Wigner type in such spaces and we prove that a suitable representation of Wigner type allows to prove regularity for classes of operators that do not have classical hypoellipticity properties.

Takotsubo syndrome (TTS), characterised by transient left ventricular systolic dysfunction, is divided into five types: (1) apical ballooning, (2) mid-ventricular, (3) basal or inverted, (4) and focal wall-motion patterns, and (5) other types, including biventricular type, isolated right ventricular and global type. The common clinical features of TTS are similar to acute coronary syndrome, which makes them indistinguishable in the early stages. TTS has a wide spectrum of emotional or physical triggers. Pheochromocytoma has been widely recognised as a distinct physical trigger of TTS. Although reports of pheochromocytoma causing TTS are not uncommon, spontaneous rupture of pheochromocytoma causing TTS is extremely rare because of the low incidence of tumour rupture. Here we report on a case of a 31-year-old man with adrenal pheochromocytoma rupture developing basal TTS.

Detecting abrupt changes in streaming graph signals is relevant in a variety of applications ranging from energy and water supplies, to environmental monitoring. In this paper, we address this problem when anomalies activate localized groups of nodes in a network. We introduce an online change-point detection algorithm, which is fully distributed across nodes to monitor large-scale dynamic networks. We analyze the detection statistics for controlling the probability of a global type 1 error. Finally we illustrate the detection and localization performance with simulated data.

In the derived category of modules over a commutative noetherian ring a complex $G$ is said to generate a complex $X$ if the latter can be obtained from the former by taking summands and finitely many cones. The number of cones required in this process is the generation time of $X$. In this paper we present some local to global type results for computing this invariant, and discuss applications., Revision. Incorporate Section 3 into Section 2. To appear in Homology, Homotopy and Applications

The paper presents a data-driven model of self-adaptivity for multiparty sessions. System choreography is prescribed by a global type. Participants are incarnated by processes associated with monitors, which control their behaviour. Each participant can access and modify a set of global data, which are able to trigger adaptations in the presence of critical changes of values. The use of the parallel composition for building global types, monitors and processes enables a significant degree of flexibility: an adaptation step can dynamically reconfigure a set of participants only, without altering the remaining participants, even if the two groups communicate., In Proceedings PLACES 2016, arXiv:1606.05403

This work is supported by NOVA LINCS (UID/CEC/04516/2013), EPSRC EP/K034413/1, EP/K011715/1, EP/L00058X/1, EP/N027833/1 and EP/N028201/1. In multiparty session types, interconnection networks identify which roles in a session engage in communication (i.e., two roles are connected if they exchange a message). In session-based interpretations of linear logic the analogue notion corresponds to determining which processes are composed, or cut, using compatible channels typed by linear propositions. In this work, we show that well-formed interactions represented in a session-based interpretation of classical linear logic (CLL) form strictly less-expressive interconnection networks than those of a multiparty session calculus. To achieve this result, we introduce a new compositional synthesis property dubbed partial multiparty compatibility (PMC), enabling us to build a global type denoting the interactions obtained by iterated composition of well-typed CLL threads. We then show that CLL composition induces PMC global types without circular interconnections between three (or more) participants. PMC is then used to define a new CLL composition rule that can form circular interconnections but preserves the deadlock-freedom of CLL. authorsversion published

In the present work a design approach aiming to the use of high strength steel (HSS) in seismic resistant structures is presented. In particular, in order to exploit all the possible benefits deriving from the use of high strength steel, without adversely affecting local and global ductility supply, the use of MR-Frames with normal steel beams and properly designed HSS columns is proposed. Column sections are dimensioned by means of the Theory of Plastic Mechanism Control (TPMC) to guarantee structures failing according to a global type mechanism aiming to assure that HSS columns remain in elastic range. In addition, aiming to prevent column yielding also at the base of first storey, column-base connections are designed to transmit axial and shear forces only, thus completely preventing column hinging, but reducing the structural lateral stiffness. Therefore, serviceability requirements are assured by means of brace members, so that the structure behaves like a MRF-CBF dual system. The fulfilment of the design goal has been pointed out by means of both push-over and nonlinear dynamic analyses whose results are herein presented and discussed.

A multiparty session forms a unit of structured communication among many participants which follow communication sequences specified as a global type. When a process is engaged in two or more sessions simultaneously, different sessions can be interleaved and can interfere at runtime. Previous work on multiparty session types has ignored session interleaving, providing a limited progress property ensured only within a single session, by assuming non-interference among different sessions and by forbidding delegation. This paper develops, besides a more traditional, compositionalcommunicationtype system, a novel staticinteractiontype system for global progress in dynamically interleaved and interfered multiparty sessions. The interaction type system infers causalities of channels making sure that processes do not get stuck at intermediate stages of sessions also in presence of delegation.

Global session types prevent participants from waiting for never coming messages. Some interactions take place just for the purpose of informing receivers that some message will never arrive or the session is terminated. By decomposing a big global type into several light global types, one can avoid such kind of redundant interactions. Lightening global types gives us cleaner global types, which keep all necessary communications. This work proposes a framework which allows to easily decompose global types into light global types, preserving the interaction sequences of the original ones but for redundant interactions., In Proceedings PLACES 2014, arXiv:1406.3313

One of the primary purposes in structural design of seismic-resistant structures is the prevention of undesired collapse mechanisms, involving only a few storeys, which are not satisfactory in terms of energy dissipation capacity. The optimization of the seismic structural response can be achieved with a collapse mechanism of global type, because, in this case, all the dissipative zones are involved in the corresponding pattern of yielding, while all the other non-dissipative structural parts remain in elastic range. In order to promote the development of a collapse mechanism of global type, modern seismic codes provide simple design rules based on so-called hierarchy criteria. However, even though these simple criteria are able to ensure that “soft storey” mechanisms are prevented, they are not able to lead to the development of a collapse mechanism of global type. Therefore, more sophisticated design procedures based on rigid-plastic analysis have been proposed to assure such design goal. In this paper, within the framework of the theory of plastic mechanism control, rigid-plastic analysis of EB-Frames with inverted Y-scheme is carried out including moment–shear interaction aiming to the development of simple hierarchy criteria to be applied with reference to the single storeys to prevent undesired collapse mechanisms. Therefore, reference is made to the simple one-storey scheme. Conversely, the whole theory of plastic mechanism control for EB-Frames with inverted Y-scheme will be presented in a forthcoming paper dealing with multi-storey EB-Frames. Finally, the effectiveness of the proposed hierarchy criteria has been verified by several push over analyses.

This work extends asynchronous multiparty session types (MPST) with explicit connection actions to support protocols with op- tional and dynamic participants. The actions by which endpoints are connected and disconnected are a key element of real-world protocols that is not treated in existing MPST works. In addition, the use cases motivating explicit connections often require a more relaxed form of mul- tiparty choice: these extensions do not satisfy the conservative restric- tions used to ensure safety in standard syntactic MPST. Instead, we de- velop a modelling-based approach to validate MPST safety and progress for these enriched protocols. We present a toolchain implementation, for distributed programming based on our extended MPST in Java, and a core formalism, demonstrating the soundness of our approach. We discuss key implementation issues related to the proposed extensions: a practi- cal treatment of choice subtyping for MPST progress, and multiparty correlation of dynamic binary connections.

Let $F$ be a complete discrete valuation field whose residue field $k$ is a global field of positive characteristic $p$. Let $D$ be a central division $F$-algebra of $p$-power degree. We prove that the subgroup of $F^*$ consisting of reduced norms of $D$ is exactly the kernel of the cup product map $\lambda\in F^*\mapsto (D)\cup(\lambda)\in H^3(F,\,\mathbb{Q}_{p}/\Z_{p}(2))$, if either $D$ is tamely ramified or of period $p$. This gives a $p$-torsion counterpart of a recent theorem of Parimala, Preeti and Surech, where the same result is proved for division algebras of prime-to-$p$ degree., Comment: 16 pages

У овом раду изучавамо асиметричне глобалне правилне типове. Ако је p правилан и асиметричан над А, тада постоји уређење такво да су Морлијеви низови у p над А строго растући. Испоставља се да за сваки мали модел... In this thesis we study asymmetric regular types. If p is regular and asymmetric over A, then there exists an order such that Morley sequences in p over A are strictly increasing. It turns out that for every small model M A, the order type of a maximal Morley sequence in p over A whose elements are from M does not depend on the choice of the sequence, i.e. it is an invariant of the model M denoted by Invp;A(M). In the countable case we can determine all possibilities for Invp;A(M): either Invp;A(M) is an arbitrary countable linear order or, provided that it contains at least two elements, it is a countable dense linear order (possibly with one or both endpoints). Also, we study the connection between Invp;A(M) and Invq;A(M), where p and q are two regular and asymmetric over A types such that pA 6?w qA. We distinguish two kinds of non-orthogonality: bounded and unbounded. Under the assumption that p and q are convex, in the bounded case we get that Invp;A(M) and Invq;A(M) are either isomorphic or anti-isomorphic, while under the assumption of strong regularity, in the unbounded case we get that Dedekind completions of Invp;A(M) and Invq;A(M) are either isomorphic or anti-isomorphic. In particular we study the following class of structures: expansions of linear orderings with countably many unary predicates and countably many equivalence relations with convex classes. We provide new examples of regular types. Namely, it turns out that every global invariant type in this context is regular, and every non-algebraic type over A has precisely two global extensions which are invariant over A. We also study the connection between the question of existence of a quasi- minimal model of a complete rst-order theory and the question of existence of a global strongly regular type. We also deal with the problem whether every quasi- minimal group must be abelian. It turns out that this question has the positive answer provided that the global extension of the generic type of a quasi-minimal group is asymmetric over...

This paper introduces global session nets, an integration of multiparty session types (MPST) and Petri nets, for role-based choreographic specifications to verify distributed multiparty systems. The graphical representation of session nets enables more liberal combinations of branch, merge, fork and join patterns than the standard syntactic MPST. We use session net token dynamics to verify a flexible conformance between the graphical global net and syntactic endpoint types, and apply the conformance to ensure type-safety and progress of endpoint processes with channel mobility. We have implemented Java APIs for validating global session graph well-formedness and endpoint type conformance.

We give three kinds of characterizations of the commutativity of C ∗ ^* - algebras. The first is the one from operator monotone property of functions regarded as the nonlinear version of Stinespring theorem, the second one is the characterization of commutativity of local type from expansion formulae of related functions and the third one is of global type from multiple positivity of those nonlinear positive maps induced from functions.

This paper aims at incorporating the notion of self-adaptiveness in the context of multiparty sessions, by focusing on the issue of ensuring correctness for dynamic adaptations. A formal framework is presented centred around these main ingredients: global types, monitors and global state. A global type represents the overall communication choreography. Its projections are the monitors, which set-up the protocols of the participants. The association of a monitor with a compliant process incarnates a single participant. It is the choreography that is updated at runtime, in response to changing conditions in the global state. Monitors result to be self-adaptive in the sense that they react to these changes by modifying themselves, in order to prescribe new behaviours to the participants.

Let $\mathfrak{p}=(\mathfrak{p}_1,...,\mathfrak{p}_r)$ be a system of $r$ polynomials with integer coefficients of degree $d$ in $n$ variables $\mathbf{x}=(x_1,...,x_n)$. For a given $r$-tuple of integers, say $\mathbf{s}$, a general local to global type statement is shown via classical Hardy-Littlewood type methods which provides sufficient conditions for the solubility of $\mathfrak{p}(\mathbf{x})=\mathbf{s}$ under the condition that each of the $x_i$'s is prime.

We study asymmetric regular global types p ∈ S 1 ( C ) . If p is regular and A-asymmetric then there exists a strict order such that Morley sequences in p over A are strictly increasing (we allow Morley sequences to be indexed by elements of a linear order). We prove that for any small model M ⊇ A maximal Morley sequences in p over A consisting of elements of M have the same (linear) order type, denoted by Inv p , A ( M ) . In the countable case we determine all possibilities for Inv p , A ( M ) : either it can be any countable linear order, or in any M ⊇ A it is a dense linear order (provided that it has at least two elements). Then we study relationship between Inv p , A ( M ) and Inv q , A ( M ) when p and q are strongly regular, A-asymmetric, and such that p ↾ A and q ↾ A are not weakly orthogonal. We distinguish two kinds of non-orthogonality: bounded and unbounded. In the bounded case we prove that Inv p , A ( M ) and Inv q , A ( M ) are either isomorphic or anti-isomorphic. In the unbounded case, Inv p , A ( M ) and Inv q , A ( M ) may have distinct cardinalities but we prove that their Dedekind completions are either isomorphic or anti-isomorphic. We provide examples of all four situations.

This study extended pioneering research of M. J. Bond and N. T. Feather (1988) into time structure and purpose. These investigators reported generally positive relationships between five time structure components and Type A behavior and orthogonal relationships with the Protestant work ethic (PWE). Such findings seemed inconsistent with theoretical expectations, and therefore potentially threatened the nomological validity of Bond and Feather's Time Structure Questionnaire (TSQ). In this study, two samples of employed persons (total N=407) completed self-report surveys. No time structure component was associated with global Type A or PWE measures. Orthogonal relationships also appeared with impatient, irritable, and time-pressured aspects of Type A behavior, and with three PWE beliefs concerned with asceticism, leisure, and perceived superiority to others. On the other hand, some TSQ dimensions, particularly Persistence, related positively to PWE beliefs that hard work is essential to produce valued outcomes. Moreover, five of six TSQ components tended to be strongly and positively linked with the hard-driving, competitive, and achievement-oriented side of Type A behavior. This study reconciled past and current research findings, and affirmed the potential importance of time structure and purpose in the study of organizational behavior. Copyright © 1999 John Wiley & Sons, Ltd.

This paper proposes a new theory of multiparty session types extended with propositional assertions and symmetric sum types for modelling collaborative distributed workflows. Multiparty session types statically guarantee that workflows are type-safe and deadlock-free, facilitate automatic generation of participant-specific (“local”) workflow protocols from global descriptions, and support flexible implementation of local workflows guaranteed to be compliant with the workflow protocols. The extensions with assertions and symmetric sum types support expressing state-based (pre)conditions and consensual multiparty synchronisation, which are common in complex distributed workflows.

Multiparty session types are a type system that can ensure the safety and liveness of distributed peers via the global specification of their interactions. To construct a global specification from a set of distributed uncontrolled behaviours, this paper explores the problem of fully characterising multiparty session types in terms of communicating automata. We equip global and local session types with labelled transition systems (LTSs) that faithfully represent asynchronous communications through unbounded buffered channels. Using the equivalence between the two LTSs, we identify a class of communicating automata that exactly correspond to the projected local types. We exhibit an algorithm to synthesise a global type from a collection of communicating automata. The key property of our findings is the notion of multiparty compatibility which non-trivially extends the duality condition for binary session types.

We consider parametrized families of diffeomorphisms bifurcating through the creation of critical saddle-node cycles. We show that they always exhibit Henon-like strange attractors for a set of parameter values with positive Lebesgue density at the bifurcation value. In open classes of such families the strange attractors are of global type: their basins contain an a priori defined neighbourhood of the cycle. Furthermore, the bifurcation parameter may also be a point of positive density of hyperbolic dynamics.

The role of vaccine success is introduced into an epidemic spreading model consisting of three states: susceptible, infectious, and vaccinated. Moreover, the effect of three types, namely, contact, local, and global, of infection awareness and immunization awareness is also taken into consideration. The model generalizes those considered in Pastor-Satorras and Vespignani [Phys. Rev. E 63, 066117 (2001)], Pastor-Satorras and Vespignani [Phys. Rev. E 65, 036104 (2002)], Moreno et al. [Eur. Phys. J. B 26, 521-529 (2002)], Wu et al. [Chaos 22, 013101 (2012)], and Wu et al. [Chaos 24, 023108 (2014)]. Our main results contain the following. First, the epidemic threshold is explicitly obtained. In particular, we show that, for any initial conditions, the epidemic eventually dies out regardless of what other factors are whenever some type of immunization awareness is considered, and vaccination has a perfect success. Moreover, the threshold is independent of the global type of awareness. Second, we compare the effect of contact and local types of awareness on the epidemic thresholds between heterogeneous networks and homogeneous networks. Specifically, we find that the epidemic threshold for the homogeneous network can be lower than that of the heterogeneous network in an intermediate regime for intensity of contact infection awareness while it is higher otherwise. In summary, our results highlight the important and crucial roles of both vaccine success and contact infection awareness on epidemic dynamics.

Designing and analysing multiparty distributed interactions can be achieved either by means of a global view (e.g. in choreography-based approaches) or by composing available computational entities (e.g. in service orchestration). This paper proposes a typing systems which allows, under some conditions, to synthesise a choreography (i.e. a multiparty global type) from a set of local session types which describe end-point behaviours (i.e. local types).

A new mathematical method for computing the corrosion current density and Tafel slopes from experimental data is presented. The method is of global type because the theory is based on the Maclaurin's power series expansion of the function i ( ΔE ) and the calculation of three definite integrals over ΔE intervals of various width. Its application provides valid information even if the trend of the experimental polarization curve over a suitable interval is approximated in mean by a function of the type i ( Δ E) = I c [exp( αΔE ) − exp(− βΔE )] with a satisfactory accuracy. A basic feature of this method is that it is not based on any iterative calculations, which sometimes may give wrong results because of convergence problems of the numerical sequences. Some applications to ideal cases have shown its validity when the series expansion is approximated by a polynomial of suitable degree. The experimental applications concerned the behaviour of Armco iron in some uninhibited and inhibited acid solutions, which was studied by performing current-transient measurements, and afforded satisfactory determinations for the electrochemical parameters I c , B a and B c . It is also shown that, if suitable terns ( ΔE 1 , ΔE 2 , ΔE 3 ) are chosen, practically the same values of the electrochemical parameters are obtained. The calculation of the definite integrals is of analytical type being based on the best-fitting of the experimental data with a polynomial of the fourth degree. The use of the best-fitting technique was necessary because the distribution of the N pairs ( ΔE n , i n ) were not regular.

Angular misalignment at longitudinal weld joints has been discussed in the literature in the form of a local type of geometric deviation from the ideal cylinder, restricted to the vicinity of the weld joint. In this paper a (more likely) global type of deviation, resulting from a residual moment and a residual force, is treated in detail, and the stress concentration factor for first-and second-order theory is derived and discussed, especially with regard to the measurement procedure which has been proposed.

Reference CRPP-ARTICLE-1990-004View record in Web of Science Record created on 2008-04-16, modified on 2017-05-12

HOW TRUE is the clich?, "get them to talk I and they will be happy"? There are several vari ables that influence stated member satisfaction in small-group discussions. Is participation one of them? White and Lippitt have reported on leadership behavior and the resulting reaction and degree of satisfaction expressed by members (6). Size of the group is an important factor in the amount of stated satisfaction of members (12). Hare found that dissatisfaction would re sult if there were not enough opportunity to take part in the discussion (6). The investigation at Western Electrice Haw thorne plant in Chicago in the 1920's and 1930's produced evidence that workers were more satis fied when they were included in planning that included themselves (10). Investigators have reported the relationship between amount of participation and leadership to be positive (6). Storey found that members with responsibility sharing leadership derived more satisfaction from their groups than did members with strong procedural leadership (13). In a study relating participation and satisfac tion, Peterman found a correlation of .02 between amount of member participation and decisions reached (11). At variance with this finding is the implication put forth by Gibb et al., that the most frequent talkers like the group activity betj ter, are most identified with the goals (7). In the well-known study of functional roles of group members by Benne and Sheats, the authors implied that member satisfaction would be the greater the more group task and building and maintenance roles existed, in proportion to indi vidual roles (3). Guetzkow supported these tenets (8). This investigator finds that other researchers have looked into ways of participating and have been interested in member satisfactions. Often, however, findings in these areas have been by products of main goals elsewhere. Then, too, often only certain kinds of participation and/or satis faction have been looked at. The present study differs in that (1) it broke participation down into more specific areas than was the case with most of the studies reported here; (2) it was in terested in a more global type of satisfaction than usually has been the case; (3) it has been con cerned only with member participation and member satisfaction and how they relate to each other. No other issues?e.g., productivity, per ception, friendship choices?have been a major concern. The present study takes two variables, concentrates on them alone, attempts to measure them globally, and seeks to ascertain their rela tionship. It was believed that investigation of the relationships among the variables of concern here could shed light on their influences on the behav ior of group members in discussion meetings. Creative participation, productive group mem bership, calls for certain membership skills (5). If certain kinds of participation result in more satisfaction than do other kinds, then it was the contention of this study that it would be worth while to have these understandings of group existence.

THE PROBLEM of selecting students for univer sity and college admittance is pervasive and ever present and considerable attention has been devoted to developing effective selection procedures. How ever, most research efforts in this area have con centrated on the predictor segment of the prediction equation and have paid very little attention to the cri terion side. Most often the criterion used for eval uating the worth of a selection instrument is fir s t term or first year total grade point average and not much effort has been devoted to examining what di mensions or ''factors" might explain the total vari ance of this global type measure for various cur ricula. The present study attempts, by means of a step wise hierarchical cluster analysis, to break down this global measure in the most meaningful manner possible so as to provide information relevant to what factors of course content account for the vari ation in the total GPA, which predictors in the bat tery predict which course clusters best, and what content factors need better predictors to account for their variance.

We shall introduce a compact group structure into the uncountable family of II 1 factors obtained in Ref. [7]. This topological group structure enables us to integrate this uncountable family at the same time, so that it supplies examples of global type II 1 W ∗ algebras which cannot be written as direct sums of the tensor products of II 1 factors and commutative algebras. This implies that the reduction theory of II 1 algebras is not trivial. This problem was originally posed by Segal.

In this paper a ring will always mean a commutative noetherian ring w ith unit. L e t A b e a C ohen-M acaulay local ring w ith maximal id ea l m and K -d im A = d . W e d efin e r (A) E x t , ( A / m , A ) and ca ll it the type of A . Various properties o f th e typ e a re discussed in [ 2 ] . H ere w e note that if x„ is a n A-regular sequence in m , th e n r(A ) = r (A / (x „ . . . , x , ) ) . T he g lobal type of a CohenM acau lay ring A is d efin ed to b e the suprem um of the types of local rings A , f o r a l l p r im e ideals p o f A . A C o h en -M acau la y ring is G orenstein if a n d only if th e r in g h a s global type one. L e t R b e a graded r in g . R ecen tly it w as p ro ved th a t R is C ohen-M acaulay if and only if R , is C ohen-M acau lay for every graded prim e ideal p. ( [3] an d [4]) T he aim o f th is paper is to prove th e following

Cell cycle analysis was performed on two established cell lines of human bladder transitional carcinoma, MGH-U1 and T24 cells. The cells were cultured on round cover slips for three days, autoradiograms were prepared after pulse-labeling with 3H-TdR and the fractions of labeled mitoses (FLM) were calculated every 2 hours through 36 hours. The FLM curves were analyzed by the empirical half-height level method as well as Mendelsohn-Takahashi's asymmetry method which is a global type of FLM analysis based on Takahashi's generalized model. The results did not show any distinct differences in the cell cycle parameters between MGH-U1 and T24 cell lines. A remarkable discrepancy, however, was observed between the cell cycle times analyzed by the asymmetry method and by the half-height level method. Although there is no evidence that the asymmetry method is biologically correct up to now, Mendelsohn and Takahashi tested this method repeatedly and mathematically proved that it had much less error than that of the traditional boundary method.

Multiparty session types (MPST) are a typing discipline for ensuring the coordination and orchestration of multi-agent communication in concurrent and distributed programs. However, by mostly focusing on the communication aspects of concurrency, MPST are often unable to capture important data invariants in programs. In this work we propose to increase the expressiveness of MPST by considering a notion of value dependencies in order to certify invariants of exchanged data in concurrent and distributed settings.