45 resultados para 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra

em Université de Lausanne, Switzerland


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The book presents the state of the art in machine learning algorithms (artificial neural networks of different architectures, support vector machines, etc.) as applied to the classification and mapping of spatially distributed environmental data. Basic geostatistical algorithms are presented as well. New trends in machine learning and their application to spatial data are given, and real case studies based on environmental and pollution data are carried out. The book provides a CD-ROM with the Machine Learning Office software, including sample sets of data, that will allow both students and researchers to put the concepts rapidly to practice.

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Game theory describes and analyzes strategic interaction. It is usually distinguished between static games, which are strategic situations in which the players choose only once as well as simultaneously, and dynamic games, which are strategic situations involving sequential choices. In addition, dynamic games can be further classified according to perfect and imperfect information. Indeed, a dynamic game is said to exhibit perfect information, whenever at any point of the game every player has full informational access to all choices that have been conducted so far. However, in the case of imperfect information some players are not fully informed about some choices. Game-theoretic analysis proceeds in two steps. Firstly, games are modelled by so-called form structures which extract and formalize the significant parts of the underlying strategic interaction. The basic and most commonly used models of games are the normal form, which rather sparsely describes a game merely in terms of the players' strategy sets and utilities, and the extensive form, which models a game in a more detailed way as a tree. In fact, it is standard to formalize static games with the normal form and dynamic games with the extensive form. Secondly, solution concepts are developed to solve models of games in the sense of identifying the choices that should be taken by rational players. Indeed, the ultimate objective of the classical approach to game theory, which is of normative character, is the development of a solution concept that is capable of identifying a unique choice for every player in an arbitrary game. However, given the large variety of games, it is not at all certain whether it is possible to device a solution concept with such universal capability. Alternatively, interactive epistemology provides an epistemic approach to game theory of descriptive character. This rather recent discipline analyzes the relation between knowledge, belief and choice of game-playing agents in an epistemic framework. The description of the players' choices in a given game relative to various epistemic assumptions constitutes the fundamental problem addressed by an epistemic approach to game theory. In a general sense, the objective of interactive epistemology consists in characterizing existing game-theoretic solution concepts in terms of epistemic assumptions as well as in proposing novel solution concepts by studying the game-theoretic implications of refined or new epistemic hypotheses. Intuitively, an epistemic model of a game can be interpreted as representing the reasoning of the players. Indeed, before making a decision in a game, the players reason about the game and their respective opponents, given their knowledge and beliefs. Precisely these epistemic mental states on which players base their decisions are explicitly expressible in an epistemic framework. In this PhD thesis, we consider an epistemic approach to game theory from a foundational point of view. In Chapter 1, basic game-theoretic notions as well as Aumann's epistemic framework for games are expounded and illustrated. Also, Aumann's sufficient conditions for backward induction are presented and his conceptual views discussed. In Chapter 2, Aumann's interactive epistemology is conceptually analyzed. In Chapter 3, which is based on joint work with Conrad Heilmann, a three-stage account for dynamic games is introduced and a type-based epistemic model is extended with a notion of agent connectedness. Then, sufficient conditions for backward induction are derived. In Chapter 4, which is based on joint work with Jérémie Cabessa, a topological approach to interactive epistemology is initiated. In particular, the epistemic-topological operator limit knowledge is defined and some implications for games considered. In Chapter 5, which is based on joint work with Jérémie Cabessa and Andrés Perea, Aumann's impossibility theorem on agreeing to disagree is revisited and weakened in the sense that possible contexts are provided in which agents can indeed agree to disagree.

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This thesis suggests to carry on the philosophical work begun in Casati's and Varzi's seminal book Parts and Places, by extending their general reflections on the basic formal structure of spatial representation beyond mereotopology and absolute location to the question of perspectives and perspective-dependent spatial relations. We show how, on the basis of a conceptual analysis of such notions as perspective and direction, a mereotopological theory with convexity can express perspectival spatial relations in a strictly qualitative framework. We start by introducing a particular mereotopological theory, AKGEMT, and argue that it constitutes an adequate core for a theory of spatial relations. Two features of AKGEMT are of particular importance: AKGEMT is an extensional mereotopology, implying that sameness of proper parts is a sufficient and necessary condition for identity, and it allows for (lower- dimensional) boundary elements in its domain of quantification. We then discuss an extension of AKGEMT, AKGEMTS, which results from the addition of a binary segment operator whose interpretation is that of a straight line segment between mereotopological points. Based on existing axiom systems in standard point-set topology, we propose an axiomatic characterisation of the segment operator and show that it is strong enough to sustain complex properties of a convexity predicate and a convex hull operator. We compare our segment-based characterisation of the convex hull to Cohn et al.'s axioms for the convex hull operator, arguing that our notion of convexity is significantly stronger. The discussion of AKGEMTS defines the background theory of spatial representation on which the developments in the second part of this thesis are built. The second part deals with perspectival spatial relations in two-dimensional space, i.e., such relations as those expressed by 'in front of, 'behind', 'to the left/right of, etc., and develops a qualitative formalism for perspectival relations within the framework of AKGEMTS. Two main claims are defended in part 2: That perspectival relations in two-dimensional space are four- place relations of the kind R(x, y, z, w), to be read as x is i?-related to y as z looks at w; and that these four-place structures can be satisfactorily expressed within the qualitative theory AKGEMTS. To defend these two claims, we start by arguing for a unified account of perspectival relations, thus rejecting the traditional distinction between 'relative' and 'intrinsic' perspectival relations. We present a formal theory of perspectival relations in the framework of AKGEMTS, deploying the idea that perspectival relations in two-dimensional space are four-place relations, having a locational and a perspectival part and show how this four-place structure leads to a unified framework of perspectival relations. Finally, we present a philosophical motivation to the idea that perspectival relations are four-place, cashing out the thesis that perspectives are vectorial properties and argue that vectorial properties are relations between spatial entities. Using Fine's notion of "qua objects" for an analysis of points of view, we show at last how our four-place approach to perspectival relations compares to more traditional understandings.

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We present a method for segmenting white matter tracts from high angular resolution diffusion MR. images by representing the data in a 5 dimensional space of position and orientation. Whereas crossing fiber tracts cannot be separated in 3D position space, they clearly disentangle in 5D position-orientation space. The segmentation is done using a 5D level set method applied to hyper-surfaces evolving in 5D position-orientation space. In this paper we present a methodology for constructing the position-orientation space. We then show how to implement the standard level set method in such a non-Euclidean high dimensional space. The level set theory is basically defined for N-dimensions but there are several practical implementation details to consider, such as mean curvature. Finally, we will show results from a synthetic model and a few preliminary results on real data of a human brain acquired by high angular resolution diffusion MRI.

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Executive Summary The unifying theme of this thesis is the pursuit of a satisfactory ways to quantify the riskureward trade-off in financial economics. First in the context of a general asset pricing model, then across models and finally across country borders. The guiding principle in that pursuit was to seek innovative solutions by combining ideas from different fields in economics and broad scientific research. For example, in the first part of this thesis we sought a fruitful application of strong existence results in utility theory to topics in asset pricing. In the second part we implement an idea from the field of fuzzy set theory to the optimal portfolio selection problem, while the third part of this thesis is to the best of our knowledge, the first empirical application of some general results in asset pricing in incomplete markets to the important topic of measurement of financial integration. While the first two parts of this thesis effectively combine well-known ways to quantify the risk-reward trade-offs the third one can be viewed as an empirical verification of the usefulness of the so-called "good deal bounds" theory in designing risk-sensitive pricing bounds. Chapter 1 develops a discrete-time asset pricing model, based on a novel ordinally equivalent representation of recursive utility. To the best of our knowledge, we are the first to use a member of a novel class of recursive utility generators to construct a representative agent model to address some long-lasting issues in asset pricing. Applying strong representation results allows us to show that the model features countercyclical risk premia, for both consumption and financial risk, together with low and procyclical risk free rate. As the recursive utility used nests as a special case the well-known time-state separable utility, all results nest the corresponding ones from the standard model and thus shed light on its well-known shortcomings. The empirical investigation to support these theoretical results, however, showed that as long as one resorts to econometric methods based on approximating conditional moments with unconditional ones, it is not possible to distinguish the model we propose from the standard one. Chapter 2 is a join work with Sergei Sontchik. There we provide theoretical and empirical motivation for aggregation of performance measures. The main idea is that as it makes sense to apply several performance measures ex-post, it also makes sense to base optimal portfolio selection on ex-ante maximization of as many possible performance measures as desired. We thus offer a concrete algorithm for optimal portfolio selection via ex-ante optimization over different horizons of several risk-return trade-offs simultaneously. An empirical application of that algorithm, using seven popular performance measures, suggests that realized returns feature better distributional characteristics relative to those of realized returns from portfolio strategies optimal with respect to single performance measures. When comparing the distributions of realized returns we used two partial risk-reward orderings first and second order stochastic dominance. We first used the Kolmogorov Smirnov test to determine if the two distributions are indeed different, which combined with a visual inspection allowed us to demonstrate that the way we propose to aggregate performance measures leads to portfolio realized returns that first order stochastically dominate the ones that result from optimization only with respect to, for example, Treynor ratio and Jensen's alpha. We checked for second order stochastic dominance via point wise comparison of the so-called absolute Lorenz curve, or the sequence of expected shortfalls for a range of quantiles. As soon as the plot of the absolute Lorenz curve for the aggregated performance measures was above the one corresponding to each individual measure, we were tempted to conclude that the algorithm we propose leads to portfolio returns distribution that second order stochastically dominates virtually all performance measures considered. Chapter 3 proposes a measure of financial integration, based on recent advances in asset pricing in incomplete markets. Given a base market (a set of traded assets) and an index of another market, we propose to measure financial integration through time by the size of the spread between the pricing bounds of the market index, relative to the base market. The bigger the spread around country index A, viewed from market B, the less integrated markets A and B are. We investigate the presence of structural breaks in the size of the spread for EMU member country indices before and after the introduction of the Euro. We find evidence that both the level and the volatility of our financial integration measure increased after the introduction of the Euro. That counterintuitive result suggests the presence of an inherent weakness in the attempt to measure financial integration independently of economic fundamentals. Nevertheless, the results about the bounds on the risk free rate appear plausible from the view point of existing economic theory about the impact of integration on interest rates.

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Caspase cleaved amyloid precursor protein (APPcc) and SET are increased and mislocalized in the neuronal cytoplasm in Alzheimer Disease (AD) brains. Translocated SET to the cytoplasm can induce tau hyperphosphorylation. To elucidate the putative relationships between mislocalized APPcc and SET, we studied their level and distribution in the hippocampus of 5 controls, 3 Down syndrome and 10 Alzheimer patients. In Down syndrome and Alzheimer patients, APPcc and SET levels were increased in CA1 and the frequency of both localizations in the neuronal cytoplasm was high in CA1, and low in CA4. As the increase of APPcc is already present at early stages of AD, we overexpressed APPcc in CA1 and the dentate gyrus neurons of adult mice with a lentiviral construct. APPcc overexpression in CA1 and not in the dentate gyrus induced endogenous SET translocation and tau hyperphosphorylation. These data suggest that increase in APPcc in CA1 neurons could be an early event leading to the translocation of SET and the progression of AD through tau hyperphosphorylation.

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Two-way alternating automata were introduced by Vardi in order to study the satisfiability problem for the modal μ-calculus extended with backwards modalities. In this paper, we present a very simple proof by way of Wadge games of the strictness of the hierarchy of Motowski indices of two-way alternating automata over trees.

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1 Summary This dissertation deals with two major aspects of corporate governance that grew in importance during the last years: the internal audit function and financial accounting education. In three essays, I contribute to research on these topics which are embedded in the broader corporate governance literature. The first two essays consist of experimental investigations of internal auditors' judgments. They deal with two research issues for which accounting research lacks evidence: The effectiveness of internal controls and the potentially conflicting role of the internal audit function between management and the audit committee. The findings of the first two essays contribute to the literature on internal auditors' judgment and the role of the internal audit function as a major cornerstone of corporate governance. The third essay theoretically examines a broader issue but also relates to the overall research question of this dissertation: What contributes to effective corporate governance? This last essay takes the perspective that the root for quality corporate governance is appropriate financial accounting education. r develop a public interest approach to accounting education that contributes to the literature on adequate accounting education with respect to corporate governance and accounting harmonization. The increasing importance of both the internal audit function and accounting education for corporate governance can be explained by the same recent fundamental changes that still affect accounting research and practice. First, the Sarbanes-Oxley Act of 2002 (SOX, 2002) and the 8th EU Directive (EU, 2006) have led to a bigger role for the internal audit function in corporate governance. Their implications regarding the implementation of audit committees and their oversight over internal controls are extensive. As a consequence, the internal audit function has become increasingly important for corporate governance and serves a new master (i.e. the audit committee) within the company in addition to management. Second, the SOX (2002) and the 8th EU Directive introduced additional internal control mechanisms that are expected to contribute to the reliability of financial information. As a consequence, the internal audit function is expected to contribute to a greater extent to the reliability of financial statements. Therefore, effective internal control mechanisms that strengthen objective judgments and independence become important. This is especially true when external- auditors rely on the work of internal auditors in the context of the International Standard on Auditing (ISA) 610 and the equivalent US Statement on Auditing Standards (SAS) 65 (see IFAC, 2009 and AICPA, 1990). Third, the harmonization of international reporting standards is increasingly promoted by means of a principles-based approach. It is the leading approach since a study of the SEC (2003) that was required by the SOX (2002) in section 108(d) was in favor of this approach. As a result, the Financial Accounting Standards Board (FASB) and the International Accounting Standards Board (IASB) commit themselves to the development of compatible accounting standards based on a principles-based approach. Moreover, since the Norwalk Agreement of 2002, the two standard setters have developed exposure drafts for a common conceptual framework that will be the basis for accounting harmonization. The new .framework will be in favor of fair value measurement and accounting for real-world economic phenomena. These changes in terms of standard setting lead to a trend towards more professional judgment in the accounting process. They affect internal and external auditors, accountants, and managers in general. As a consequence, a new competency set for preparers and users of financial statements is required. The basil for this new competency set is adequate accounting education (Schipper, 2003). These three issues which affect corporate governance are the initial point of this dissertation and constitute its motivation. Two broad questions motivated a scientific examination in three essays: 1) What are major aspects to be examined regarding the new role of the internal audit function? 2) How should major changes in standard setting affect financial accounting education? The first question became apparent due to two published literature reviews by Gramling et al. (2004) and Cohen, Krishnamoorthy & Wright (2004). These studies raise various questions for future research that are still relevant and which motivate the first two essays of my dissertation. In the first essay, I focus on the role of the internal audit function as one cornerstone of corporate governance and its potentially conflicting role of serving both management and the audit committee (IIA, 2003). In an experimental study, I provide evidence on the challenges for internal auditors in their role as servant for two masters -the audit committee and management -and how this influences internal auditors' judgment (Gramling et al. 2004; Cohen, Krishnamoorthy & Wright, 2004). I ask if there is an expectation gap between what internal auditors should provide for corporate governance in theory compared to what internal auditors are able to provide in practice. In particular, I focus on the effect of serving two masters on the internal auditor's independence. I argue that independence is hardly achievable if the internal audit function serves two masters with conflicting priorities. The second essay provides evidence on the effectiveness of accountability as an internal control mechanism. In general, internal control mechanisms based on accountability were enforced by the SOX (2002) and the 8th EU Directive. Subsequently, many companies introduced sub-certification processes that should contribute to an objective judgment process. Thus, these mechanisms are important to strengthen the reliability of financial statements. Based on a need for evidence on the effectiveness of internal control mechanisms (Brennan & Solomon, 2008; Gramling et al. 2004; Cohen, Krishnamoorthy & Wright, 2004; Solomon & Trotman, 2003), I designed an experiment to examine the joint effect of accountability and obedience pressure in an internal audit setting. I argue that obedience pressure potentially can lead to a negative influence on accountants' objectivity (e.g. DeZoort & Lord, 1997) whereas accountability can mitigate this negative effect. My second main research question - How should major changes in standard setting affect financial accounting education? - is investigated in the third essay. It is motivated by the observation during my PhD that many conferences deal with the topic of accounting education but very little is published about what needs to be done. Moreover, the Endings in the first two essays of this thesis and their literature review suggest that financial accounting education can contribute significantly to quality corporate governance as argued elsewhere (Schipper, 2003; Boyce, 2004; Ghoshal, 2005). In the third essay of this thesis, I therefore focus on approaches to financial accounting education that account for the changes in standard setting and also contribute to corporate governance and accounting harmonization. I argue that the competency set that is required in practice changes due to major changes in standard setting. As the major contribution of the third article, I develop a public interest approach for financial accounting education. The major findings of this dissertation can be summarized as follows. The first essay provides evidence to an important research question raised by Gramling et al. (2004, p. 240): "If the audit committee and management have different visions for the corporate governance role of the IAF, which vision will dominate?" According to the results of the first essay, internal auditors do follow the priorities of either management or the audit committee based on the guidance provided by the Chief Audit executive. The study's results question whether the independence of the internal audit function is actually achievable. My findings contribute to research on internal auditors' judgment and the internal audit function's independence in the broader frame of corporate governance. The results are also important for practice because independence is a major justification for a positive contribution of the internal audit function to corporate governance. The major findings of the second essay indicate that the duty to sign work results - a means of holding people accountable -mitigates the negative effect of obedience pressure on reliability. Hence, I found evidence that control .mechanisms relying on certifications may enhance the reliability of financial information. These findings contribute to the literature on the effectiveness of internal control mechanisms. They are also important in the light of sub-certification processes that resulted from the Sarbanes-Oxley Act and the 8th EU Directive. The third essay contributes to the literature by developing a measurement framework that accounts for the consequences of major trends in standard setting. Moreovér, it shows how these trends affect the required .competency set of people dealing with accounting issues. Based on this work, my main contribution is the development of a public interest approach for the design of adequate financial accounting curricula. 2 Serving two masters: Experimental evidence on the independence of internal auditors Abstract Twenty nine internal auditors participated in a study that examines the independence of internal auditors in their potentially competing roles of serving two masters: the audit committee and management. Our main hypothesis suggests that internal auditors' independence is not achievable in an institutional setting in which internal auditors are accountable to two different parties with potentially differing priorities. We test our hypothesis in an experiment in which the treatment consisted of two different instructions of the Chief audit executive; one stressing the priority of management (cost reduction) and one stressing the priority of the audit committee (effectiveness). Internal auditors had to evaluate internal controls and their inherent costs of different processes which varied in their degree of task complexity. Our main results indicate that internal auditors' evaluation of the processes is significantly different when task complexity is high. Our findings suggest that internal auditors do follow the priorities of either management or the audit committee depending on the instructions of a superior internal auditor. The study's results question whether the independence of the internal audit function is actually achievable. With our findings, we contribute to research on internal auditors' judgment and the internal audit function's independence in the frame of corporate governance.

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The increase of publicly available sequencing data has allowed for rapid progress in our understanding of genome composition. As new information becomes available we should constantly be updating and reanalyzing existing and newly acquired data. In this report we focus on transposable elements (TEs) which make up a significant portion of nearly all sequenced genomes. Our ability to accurately identify and classify these sequences is critical to understanding their impact on host genomes. At the same time, as we demonstrate in this report, problems with existing classification schemes have led to significant misunderstandings of the evolution of both TE sequences and their host genomes. In a pioneering publication Finnegan (1989) proposed classifying all TE sequences into two classes based on transposition mechanisms and structural features: the retrotransposons (class I) and the DNA transposons (class II). We have retraced how ideas regarding TE classification and annotation in both prokaryotic and eukaryotic scientific communities have changed over time. This has led us to observe that: (1) a number of TEs have convergent structural features and/or transposition mechanisms that have led to misleading conclusions regarding their classification, (2) the evolution of TEs is similar to that of viruses by having several unrelated origins, (3) there might be at least 8 classes and 12 orders of TEs including 10 novel orders. In an effort to address these classification issues we propose: (1) the outline of a universal TE classification, (2) a set of methods and classification rules that could be used by all scientific communities involved in the study of TEs, and (3) a 5-year schedule for the establishment of an International Committee for Taxonomy of Transposable Elements (ICTTE).

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This thesis deals with combinatorics, order theory and descriptive set theory. The first contribution is to the theory of well-quasi-orders (wqo) and better-quasi-orders (bqo). The main result is the proof of a conjecture made by Maurice Pouzet in 1978 his thèse d'état which states that any wqo whose ideal completion remainder is bqo is actually bqo. Our proof relies on new results with both a combinatorial and a topological flavour concerning maps from a front into a compact metric space. The second contribution is of a more applied nature and deals with topological spaces. We define a quasi-order on the subsets of every second countable To topological space in a way that generalises the Wadge quasi-order on the Baire space, while extending its nice properties to virtually all these topological spaces. The Wadge quasi-order of reducibility by continuous functions is wqo on Borei subsets of the Baire space, this quasi-order is however far less satisfactory for other important topological spaces such as the real line, as Hertling, Ikegami and Schlicht notably observed. Some authors have therefore studied reducibility with respect to some classes of discontinuous functions to remedy this situation. We propose instead to keep continuity but to weaken the notion of function to that of relation. Using the notion of admissible representation studied in Type-2 theory of effectivity, we define the quasi-order of reducibility by relatively continuous relations. We show that this quasi-order both refines the classical hierarchies of complexity and is wqo on the Borei subsets of virtually every second countable To space - including every (quasi-)Polish space. -- Cette thèse se situe dans les domaines de la combinatoire, de la théorie des ordres et de la théorie descriptive. La première contribution concerne la théorie des bons quasi-ordres (wqo) et des meilleurs quasi-ordres (bqo). Le résultat principal est la preuve d'une conjecture, énoncée par Pouzet en 1978 dans sa thèse d'état, qui établit que tout wqo dont l'ensemble des idéaux non principaux ordonnés par inclusion forme un bqo est alors lui-même un bqo. La preuve repose sur de nouveaux résultats, qui allient la combinatoire et la topologie, au sujet des fonctions d'un front vers un espace métrique compact. La seconde contribution de cette thèse traite de la complexité topologique dans le cadre des espaces To à base dénombrable. Dans le cas de l'espace de Baire, le quasi-ordre de Wadge est un wqo sur les sous-ensembles Boréliens qui a suscité énormément d'intérêt. Cependant cette relation de réduction par fonctions continues s'avère bien moins satisfaisante pour d'autres espaces d'importance tels que la droite réelle, comme l'ont fait notamment remarquer Hertling, Schlicht et Ikegami. Nous proposons de conserver la continuité et d'affaiblir la notion de fonction pour celle de relation. Pour ce faire, nous utilisons la notion de représentation admissible étudiée en « Type-2 theory of effectivity » initiée par Weihrauch. Nous introduisons alors le quasi-ordre de réduction par relations relativement continues et montrons que celui-ci à la fois raffine les hiérarchies classiques de complexité topologique et forme un wqo sur les sous-ensembles Boréliens de chaque espace quasi-Polonais.

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Rubisco is responsible for the fixation of CO2 into organic compounds through photosynthesis and thus has a great agronomic importance. It is well established that this enzyme suffers from a slow catalysis, and its low specificity results into photorespiration, which is considered as an energy waste for the plant. However, natural variations exist, and some Rubisco lineages, such as in C4 plants, exhibit higher catalytic efficiencies coupled to lower specificities. These C4 kinetics could have evolved as an adaptation to the higher CO2 concentration present in C4 photosynthetic cells. In this study, using phylogenetic analyses on a large data set of C3 and C4 monocots, we showed that the rbcL gene, which encodes the large subunit of Rubisco, evolved under positive selection in independent C4 lineages. This confirms that selective pressures on Rubisco have been switched in C4 plants by the high CO2 environment prevailing in their photosynthetic cells. Eight rbcL codons evolving under positive selection in C4 clades were involved in parallel changes among the 23 independent monocot C4 lineages included in this study. These amino acids are potentially responsible for the C4 kinetics, and their identification opens new roads for human-directed Rubisco engineering. The introgression of C4-like high-efficiency Rubisco would strongly enhance C3 crop yields in the future CO2-enriched atmosphere.