The French intensifier auto, and the roles of v and Voice in introducing agents

Abstract The paper focuses on the syntax and semantics of the French verbal prefix auto. It is proposed that auto is an intensifier stating that no agent other than the one specified in the clause (agent-focusing), or, in anticausative clauses, no agent (agent-denying), is responsible for the event. Syntactically, auto merges with a verbal projection, and the nature of the constituent to which it attaches determines and constrains the interpretation of the clause. The proposed analysis of auto provides support for generative approaches in which a v head introduces the external argument role, while a grammatical Voice head determines its syntactic realization.


INTRODUCTION
asked why French verbs prefixed with auto are constructed with a reflexive clitic, a questioning taken up in Mutz (2011), Sportiche (2014), and Marelj and Reuland (2016): (1) Jean s' autoanalyse. Jean REFL self-analyzes 'Jean analyzes himself.' It would appear that auto 'self' and the reflexive clitic se perform the same operation: each of them transforms the two-place verb analyser 'analyze' in (2a) (denoting events e in which x analyzes y) into a one-place reflexive verb (2b-c) (s'analyser, autoanalyser denote events e in which x analyzes x).
(2) a. analyser 'analyze ': λyλxλe. analyze(x,y) b. autoanalyser 'self-analyze': λxλe. analyze(x,x) c. s'analyser 'REFL analyze': λxλe. analyze(x,x) The addition to the verb of one of the two morphemes should bleed the possibility of adding the second one: since autoanalyser in (2b) is reflexive and monoargumental, it is not a proper input to the reflexive clitic se.
In an attempt to solve this problem, Labelle suggested that 1) auto is a semantic reflexiviser stating that the agent 1 of the event is the same entity as its object, and 2) the Reflexive Voice head se introduces the agent in syntax when it is coindexed with an accusative or dative object. If se were not present, the external argument introduced by Active Voice would not be coreferential with the object, in contradiction with the meaning of autoanalyser. Alexiadou (2014) rejected this solution, arguing that, if the agent is introduced by Voice as argued by Kratzer (1996), the root autoanalyser cannot contain a variable for the agent, as in (2b). Nevertheless, a number of authors have stressed the need to distinguish two distinct syntactic heads often associated with the external argument, Voice and v, with divergences as to the exact roles of these two heads (a.o. Alexiadou et al. 2015, Anagnostopoulou 2016, Bruening 2013, Harley 2013, Labelle and Doron 2010, Legate 2014, Merchant 2013, Pylkkänen 2008, Wood 2015. We will adopt, in section 7, a view found in Labelle and Doron (2010) and Harley (2013) that a v head introduces an agent variable, while Voice determines the syntactic realization of the agent, and we will show how this approach can account for the constructions involving auto-prefixation.
On another front, Spathas, Alexiadou, and Schäfer (2015) proposed an interesting analysis of the Greek prefix afto 'self'. In Greek, naturally disjoint verbsdenoting events where the agent is normally disjoint from the themewith non-active morphology (NACT) are by default interpreted as passive. Afto attaches to these verbs to produce a reflexive interpretation.
(3) I Maria afto-katijori-thike. the Mary.NOM self-accused-NACT.3SG 'Mary accused herself.' (Spathas et al. 2015, ex. 1) Spathas et al. analyze afto as a Voice modifier contributing an anti-assistive intensification. Afto combines with Middle Voice Phrase (NACT is the morphological exponent of Middle Voice) and adds a modification meaning roughly 'without help'. Example (3) is argued to have the meaning in (4). The modification carried by afto is in boldface; the part of (4) that is not in bold corresponds to the interpretation of the predicate in the Middle Voice, which existentially binds the external argument. 2 1 'Agent' is used throughout this paper as a cover term for the role of the external argument of eventive predicates. To disambiguate, we will use the expression 'volitional agent'. 2 Technically, afto is said to attach counter-cyclically to an unsaturated projection of Middle Voice created by covert movement of the object DP to the edge of MiddleVoiceP. The semantic formula used by the authors explicitly specifies that the associate of afto is the theme (Spathas et al. 2015, ex. (135)): According to (4), (3) describes an event e of accusing Mary performed by some agent x and states that, for every sub-event e' of the accusation event, Mary was the agent of the sub-event. Since Mary accomplished every sub-part of the event, she acted without help. Because the anti-assistive modification associates with the theme, it creates a reflexive interpretation: in every sub-event of the event of accusing Mary, Mary is the accuser.
Treating the French prefix auto as an anti-assistive intensifier could solve the semantic problem raised by Labelle (2008), because auto and se would have a distinct contribution to the semantics of the sentence, auto being anti-assistive, and se marking the clause as reflexive. We will argue, however, that antiassistiveness, which we assume is correct for Greek, does not account for the French morpheme. Auto finds its origin in ancient Greek, but we cannot simply presume that, synchronically, it has the same properties as afto in modern Greek. In fact, the productive prefixation of auto to verbs is a new development in French: a search with Google's Ngram Viewer (books.google.com/ngrams) for the infinitive of the verbs quoted in the present paper shows that those that are attested see their frequency rise above zero only after 1945. 3 We will argue that, in French, 1) auto does not modify Voice, but a verbal projection, and 2) auto is indeed an intensifier, but not an anti-assistive one. It is agent-focusing or agentdenying, depending on the phrase that it modifies.
We will first discuss the various constructions in which auto occurs. Then, we will argue that auto merges lower than Voice and is not anti-assistive. Finally, we will sketch an analysis of auto in the different constructions identified. Mutz (2004Mutz ( , 2011 distinguished three different readings of French auto-prefixed nominals: a reflexive one, an agent-focusing one, and an anticausative one. The same readings apply to verbal predicates, and we will use verbs to exemplify them. 4

Reflexive reading
The reflexive reading was illustrated in (1). Another example is presented in (5a). Both (5a) and (5b) denote events of contratulating Donald in which Donald is the agent (6), but, intuitively, (5a) is an intensified version of (5b), somewhat like (5c), where lui-même emphasizes the fact that the object is indeed the same as the agent (Labelle 2008).
3 Peytard (1969) counted 4 verbs starting with auto in the 1924 edition of the Petit Larousse dictionary. For three of them the base is not a verb (autographier 'to autograph', automatiser 'to automate', autopsier 'to autopsy'); the last one, autocopier 'to autocopy', was removed from the dictionary in 1952. 4  We will argue that the intensification associated with auto is agent-focusing, a notion defined defined in 2.2.
The productivity of auto-prefixation is illustrated by the delightful verb autopelure-de-bananiser (self-peel-of-banana-V), apparently created by a politician from Quebec: (7) Il ne faut jamais sous-estimer la capacité des indépendantistes One must never underestimate the capacity of the independentists de s'auto-pelure-de-bananiser to self-banana-peel (i.e. to put a banana peel under their own feet.) The reflexive object is not always a theme. It may be a goal (8a) or an applicative object (8b) (Labelle 2008 In Mutz' agent-focusing reading, auto attaches to a transitive verb. This shows that auto is not always a reflexivizer. (9) a. Les patients autogèrent leur diabète. The patients self-manage their diabetes b. Les habitants du village autoconsomment leur électricité. The inhabitants of the village self-consume their electricity c. Cette administration autojustifie son existence par des this administration self-justifies its existence by some empilements de réglementation stackings of regulations 'This administration self-justifies its existence by piling up regulations.' As shown in (10), passivization is allowed: (10) a. Le chantier est autogéré par le client. the construction_site is self-managed by the client b. L'apprentissage est autorégulé par l'apprenant.
The learning is self-regulated by the learner In (9a), the meaning of auto could be rendered by par eux-mêmes 'by themselves' or by the post-verbal eux-mêmes 'themselves'. Contrary to the adnominal intensifier lui-même 'himself', both auto and (par) lui-même '(by) himself' are compatible with an indefinite quantified subject and are not obligatorily stressed: (11) a. Plusieurs patients autogèrent leur diabète.
Many patients themselves manage their diabetes Despite these similarities between auto and (par) lui-même, these expressions are not interchangeable: in (9b) auto could be replaced by eux-mêmes 'themselves' (postverbal), but not by par eux-mêmes 'by themselves'; in (9c) auto could not be replaced by (par) elle-même '(by) itself fem '. This is a first indication that auto is not anti-assistive. Mutz (2004Mutz ( , 2011 analyzes auto as an agent-focusing morpheme in this reading (also Castella 2010 for Italian). In essence, a focus on a constituent places emphasis on the constituent by generating alternative propositions in which the element in focus is replaced with others relevant in the context, and the speaker states that every alternative is false, contrary to what might be expected otherwise (Rooth 1992(Rooth , 1996. A focus on the agent means that the agent, and no one else, is responsible for the event, emphasizing the role of the agent as being the entity responsible for the event. In the formula in (12), which is a transposition of that used by Mutz (2004), 5 the part in bold expresses the focus on the agent contributed by auto. 5 The formula used by Mutz (2004:367, ex (12) describes an event of managing the diabetes whose agent is the patients and no one else. Note that Mutz proposes that there is a relation of contiguity between the object and the agent. She explains that, in the DP l'autoconsommation des produits par les paysans 'the self-consumption of the products by the farmers', the farmers must consume the products that they themselves produced. The contiguity condition captures the fact that the agent-focusing construction is transitive, and that the object is often accompanied by a possessive determiner referring back to the agent (Dugas 1992), as can be seen in (9). If we assume that coreference is an extreme case of contiguity, this condition is satisfied in the reflexive reading. Combined with the agent-focusing condition, the contiguity condition tells us that auto may be attached to a verb if one wants to stress the fact that the event affecting the object is performed by an entity bearing a close relation to it, contrary to what might be assumed otherwise. In the present paper, we will leave the contiguity condition to the side, and focus our attention on the highlighted agent-focusing modification, which we assume, pending further research.

Anticausative reading
In the anticausative reading, auto attaches to an anticausative verb. The verb allumer in (13) is a verb entering the causative/anticausative alternation.
(13) a. Fred allume la lampe. Se in (13b) is a Voice head that we will call Anticausative Voice and will gloss as SE. 6 Since the 1980's it is generally assumed that se prevents the merge of the causative level (cf. a.o. Burzio 1986 for Italian, Labelle 1992 for French; for recent discussions, cf. Alexiadou et al. 2006, 2015, Embick 2004, Horvath and Siloni 2011, Rappaport Hovav and Levin 2012, Schäfer 2008, Schäfer and Vivanco 2016. 6 The label 'Anticausative Voice' is used here as a purely descriptive label. Alexiadou et al. (2015:98 ss) and Schäfer (2008) argue that the Voice head is Expletive. While (13b) simply asserts the change of state event, in (15), auto places emphasis on the autonomous nature of the event affecting the theme.
the lamp SE self-light_up 'The lamp self-lights up.' La lampe s'allume 'the light lights up' does not exclude the intervention of a person who turned the lamp on. It could be said by a repairman: Votre lampe est réparée. Voyez, quand j'appuie sur le bouton, la lampe s'allume ('Your lamp is repaired. Look, when I press the button, the lamp lights up'). The prefix auto would not be possible in that context. The meaning of auto, in (15), resembles that of de lui-même 'by itself' (feminine d'elle-même): (16) La lampe s'allume d'elle-même the lamp SE light_up of itself 'The lamp lights up by itself.' Adding d'elle-même to (15) is felt as redundant 7 : (17) #La lampe s'autoallume d'elle-même.
the lamp SE sefl-light_up of itself 'The lamp self-lights up by itself.' However, auto differs from de lui-même. While de lui-même excludes the intervention of a causer, we will see in section 6 that auto does not exclude causers. We propose that its role is to emphasize the autonomous nature of the event affecting the theme.
The anticausative construction is productive. It is attested with a wide variety of verbs describing an autonomous change of state undergone by an entity. Here is a small sample of the examples we collected: • autoatrophier: la racine s'autoatrophie 'the root self-atrophies'/le capitalisme est un système qui s'autoatrophie 'capitalism is a system that self-atrophies' • autodétruire: leur système politique s'est autodétruit 'their political system selfdestroyed' • autoéteindre: le dispositif s'est auto-éteint 'the device self-turned-off' • autoorganiser: le chaos originel du Big Bang serait en train de s'autoorganiser 'the original chaos of the Big Bang would be self-organizing' • autoréaliser, autoannuler: les prophéties peuvent s'autoréaliser ou au contraire s'autoannuler 'prophecies may self-realize or on the contrary self-annulate' • autoreconstituer: le capital du crédit s'autoreconstitue 'the credit capital self-reconstitutes' 7 Cf. Alexiadou et al. (2006:204) for an analysis of by itself as meaning 'no particular cause', and for the observation that by itself is marginal with internally caused predicates because it is redundant. On this topic, cf. Chierchia (2004) • autoréguler: le cycle normal des eaux et des températures s'autorégule autour d'un point d'équilibre 'the normal cycle of water and temperatures selfregulates around a point of equilibrium' • autorésorber: le chômage s'autorésorbe 'unemployment self-reduces' • autostériliser: l'urine exposée au soleil s'autostérilise 'urine exposed to the sun self-sterilizes' We also observed auto-prefixed inchoative verbs not marked with se: (18) a. Ce fusible peut autofondre lorsque le courant est trop élevé. this fuse may self-melt when the electric_power is too high b. Nos observations confirment que le produit autocristallise our observations confirm that the procuct self-crystallizes systématiquement dans quatre situations :::: systematically in four situations 'Our observations confirm that the product systematically self-crystallizes in four situations ::::' For recent analyses of unmarked anticausatives, see Schäfer (2008), Martin and Schäfer (2014), Alexiadou et al. (2015).

PLACE OF ATTACHMENT AND VOICE DEPENDENCY
In Greek, afto and the non-active suffix both surface on the verbal root, and the order of attachment of each morpheme cannot be determined by looking at the verb form. While Spathas et al. (2015) attach afto to Voice, Embick (1998Embick ( , 2004 attaches it to the verbal root. In French, auto is always affixed on the lexical verb, whereas the Voice head se frequently surfaces isolated from it, to the left of the auxiliary and of intervening adverbs: (19) Jean s' est souvent autoanalysé. Jean REFL BE AUX often self-analyzed 'Jean often analyzed himself.' Therefore, unless there are compelling reasons to think otherwise, it is best to analyze auto as attached to the lexical verb, and se a Voice head merged above vP/VP. This yields the derivation analyser > autoanalyser > s'autoanalyser, which also holds for anticausatives.
Moreover, Spathas et al. (2015) argue that afto selects a Middle Voice projection because it attaches productively only to verbs with non-active morphology (Alexiadou 2014). In French, the three constructions discussed are productive, and there is no dependency relation between auto and some particular Voice. In the agent-focusing reading, auto cooccurs with Active Voice, and is compatible with Passive Voice. In the reflexive and anticausative readings, auto cooccurs with se, heading respectively Reflexive Voice and Anticausative Voice. Thus, there is no reason to assume that auto selects and modifies a Voice projection.
The fact that the three readings of auto are observed on nominals (Mutz 2004(Mutz , 2011 also shows that auto attaches low (here within a nominal projection), rather than selecting the grammatical Voice head involved in active, passive, reflexive and anticausative clauses: (20) a. Agent-focusing reading: l'autoanalyse des données financières par un usager the self-analysis of_the data financial by a user 'the self-analysis of financial data by a user' b. Reflexive reading: le discours d'autocongratulation de Marc the speech of self-congratulation of Marc 'Marc's self-congratulatory speech' c. Anticausative reading: l'autoextinction de l'appareil the self-cutout of the device We will see in section 7 that our analysis extends to nominals.

ANTI-ASSISTIVENESS AND AUTO-PREFIXATION
In this section, we ask whether the meaning of French auto-prefixed verbs is adequately characterized by anti-assistiveness. Spathas et al. (2015) argue that their anti-assistive formula holds for any antiassistive modifier, including himself in sentence final position: (21b) states that John is the agent of a house-building event, and he is the agent of every sub-event of that event. The difference between himself and afto is that himself associates with the agent of the event, whereas afto associates with the theme (cf. section 1). The authors point out that the anti-assistive formula covers a non-assistive reading (e 0 < e): the associate of the anti-assistive morpheme accomplished every sub-part of the event, therefore he/she did not get help, as well as a nondelegative reading (e 0 = e): the associate of the anti-assistive morpheme did not get someone else to do the action for him/her. In its non-delegative reading, (21a) states that John did not delegate the house-building event to someone else.
But what is an assistant? Eckardt (2001:402) provides a definition. Her formula for the non-assistive reading of German selbst, similar to himself in (21), is ¬∃x.ASSIST(e)(x): there is no x such that x ASSIST in e. ASSIST is defined as the human pendant to the INSTRUMENT role: it 'relates persons to an event in which they are not the driving agent themselves but assist the agent in performing a task'. Like instruments, ASSIST applies to predicates sortally restricted to events having a volitional agent (m, 'mental state', in Reinhart 2003).
Clearly, if a morpheme is anti-assistive, it should not be compatible with a phrase naming an assistant. However, in the agent-focusing reading of auto, the agent may be helped in the realization of the event: (22) a. Les patients autogèrent leur diabète avec l'aide de leur the patients self-manage their diabetes with the help of their nutritionniste. nutritionist b. Nous aidons les associations à autoorganiser la vie culturelle we help the associations to self-organize the life cultural locale. local 'We are helping the associations to self-organize the local cultural life.' c. J'aide un jeune adolescent autiste à autopublier son roman.
I help a young teenager autistic to self-publish his novel 'I am helping a young teenager with autism to self-publish his novel' d. Les résidents autogèrent les appartements avec l'aide de the residents self-manage the apartments with the help of 'bénévoles extérieurs' qui apportent leurs compétences 'volunteers exterior' who bring_in their skills (finances, juridiques, etc.) (finances, legal, etc.) 'The residents self-manage the apartments with the help of exterior volunteers who contribute their skills (finances, legal, etc.)' We argue that auto is not anti-assistive, but agent-focusing. An agent-focusing expression states that the external argument is responsible for the event, contrary to other contextually relevant potential agents; that does not exclude helpers to the agent.
The first clause of (23), with stress on auto, presupposes that Hugo's financial situation was evaluated and denies that the evaluation was done by Hugo. This is typical of agent-focusing morphemes because they generate subject alternatives. The negation associating with auto denies that no other contextually relevant entity is the agent. That is why a continuation naming a different agent is possible.
(23) Hugo n'a pas AUTOévalué sa situation financière, Hugo NEG HAS aux not self-evaluate his situation financial, c'est Luc qui l'a évaluée. it is Luc who it HAS aux evaluated. 'Hugo did not SELF-evaluate his financial situation, it is Luc who evaluated it.' This suggests that auto is agent-focusing. However, Spathas et al. (2015) show that the equivalent of (23) is possible with afto in Greek, and they attribute this to the non-delegative reading. Interestingly, their formula for the non-delegative reading is equivalent to the agent-focusing formula: ∀e 0 ∀z. (e 0 = e & agent(e 0 ,z)) → z = x, is equivalent (since e 0 =e) to ∀z.agent(e,z) → z = x, which is equivalent to ¬∃z.(z≠x) agent(e,z). Yet, semantically, non-delegation does not seem to be the proper notion in (23). A negation associating with a non-delegative morpheme should yield a delegative interpretation. It is pragmatically possible in (23) that Hugo delegated the evaluation to Luc, but that is not the only possible interpretation of the sentence.
According to our intuition, (24), with stress on auto, states that it is not true that no one but Hugo evaluated Hugo's financial situation, Lise evaluated it with him.
(24) Hugo n'a pas AUTOévalué sa situation financière, Hugo NEG HAS aux not self-evaluate his situation financial, il l'a évaluée avec Lise he it HAS aux evaluated with Lise 'Hugo did not SELF-evaluate his financial situation, he evaluated it with Lise.' The comitative avec Lise belongs to Yamada's Type 2 comitatives that semantically combine with the subject to form a plural argument: Hugo and Lise evaluated Hugo's financial situation (Yamada 2010:156). Lise is a co-agent, and not a mere assistant. 8 The continuation follows from agent-focusing, but we find it unnatural, prefering the construction in (25).
To truly reject non-assistance, i.e. to state that the subject got help, from assistants like those in (22) or from co-agents, our intuition is that the negation must associate, not with auto, but with a phrase like tout seul 'alone': (25) Hugo n'a pas autoévalué sa situation financière Hugo NEG HAS aux not self-evaluate his situation financial TOUT SEUL, il l'a (auto)évaluée avec (l'aide de) Lise. all alone, he it HAS aux (self-)evaluated with (the help of) Lise 'Hugo did not self-evaluate his financial situation alone, he evaluated it with (the help of) Lise.' If our intuitions are correct, this is an argument against considering auto as antiassistive.
Finally, the fact that the agent-focusing reading is attested with non volitional subjects goes against an anti-assistive analysis. According to Eckardt's (2001) definition quoted above, anti-assistive expressions require predicates having a volitional agent. Non-delegation also requires a volitional agent able to delegate the event to someone else.
'he self-financed his car that was co-financed by his father' Because co attributes joint responsibility for the event to the individuals mentioned, it clashes with auto which excludes other entities having the agent role.

b. Le module d'allumage autovérifie le bon fonctionnement du
The module of ignition self-check the good functioning of the processeur. processor 'The ignition module self-checks the proper functioning of the processor.' c. L'ordinateur n'a pas autocorrigé le problème, The computer NEG HAS aux not self-correct the problem, c'est Max qui a dû le corriger. it is Max who HAS aux must it correct 'The computeur did not self-correct the problem, it is Max who had to correct it.' The problem does not arise with an agent-focusing analysis.

Reflexive reading
The following examples show that, in the reflexive reading, the agent may be helped in the realization of the event, or can delegate part of the event to others. This argues against an anti-assistive analysis.
it is important to help the pupil to REFL self-evaluate 'it is important to help the pupil evaluate himself' b. :::une lettre qu'il s'est autoenvoyée depuis la prison a letter that he REFL BE aux self-send from the prison avec l'aide de sa mère with the help of his mother ':::a letter that he sent to himself from the prison with the help of his mother' c. Vous avez choisi de vous autoconstruire, faites appel à you HAVE aux chosen to RELF-2 self-build, make call to notre équipe pour effectuer une ou plusieurs étapes our team to realize one or many steps de votre projet telles que (:::) of your project like (:::) 'You have chosen to build yourself (your home), call on our team to realize one or many steps of your project, like (:::) (http://www.constructionyf.com/) We propose that the reflexive reading is agent-focusing: (28a) emphasizes the fact that the event of congratulating Donald is performed by Donald and nobody else. Importantly, in the reflexive reading, auto is not only agent-focusing, it is also a reflexivizer. That is apparent in nominals, where se is not present. An autocongratulation is the fact of congratulating oneself. Our analysis in section 7.2 captures both the agent-focusing and the reflexivizing effect of auto in this reading.
An agent-focusing interpretation of the reflexive reading explains why auto generates subject alternatives. Sentence (29) presupposes that Guaido was proclaimed interim president, and the negation associating with auto denies the condition excluding other agents. This makes the continuation naming a different agent possible.
(29) Guaido ne s'est pas AUTOproclamé président par intérim. Guaido NEG REFL BE aux not self-proclaim president by interim. C'est l'assemblée législative de son pays qui l' a investi It is the assembly legislative of his country that him HAS aux entrusted de cette responsabilité. of that responsibility 'Guaido did not proclaim himself interim president. It is the legislature of his country that entrusted him with that responsibility.' (Insolent.fr, 4 Feb. 2019) The coordination in (30a) also shows that auto contrasts the agent of the sentence with other potential agents, as predicted by an agent-focusing reading. The sentence states that the council did not examine these questions: nobody asked it to do so, and it did not take upon itself to do so. The negated passive excludes every other agent, and the negated auto-prefixed verb excludes the specified agent. Anti-assistiveness is not semantically relevant here. A similar type of contrast is provided in (30b).
(30) a. Le conseil constitutionnel n'a pas été saisi The constitutional council NEG HAS aux not BEEN aux seized et ne s'est pas autosaisi de l'examen and NEG REFL BE aux not self-seize of the examination de ces questions. of these questions. 'The constitutional council was not asked to examine these questions, and it did not decide on its own to examine them.' b. L'intelligence artificielle doit-elle s'autoréguler the intelligence artificial must-3s REFL self-regulate ou se faire réguler? or REFL make regulate 'Must artificial intelligence regulate itself or get regulated?' We conclude that the reflexive construction is agent-focusing.

Anticausative reading
If we apply Spathas et al.'s (2015) formula to (31a), we end up with a reflexive agentive event of the lamp lighting itself up without help. The problem with (31b) is that, not only is the lamp an inanimate entity that should be incompatible with anti-assistiveness, but also, research has shown that anticausatives are not reflexive, and that they have no external argument, whether they are marked with se or not (cf. Horvath and Siloni 2011, Martin and Schäfer 2014, Schäfer and Vivanco 2016. The second problem also applies to the agent-focusing modification. Both anti-assistiveness and agentfocus refer to agents, but anticausatives are agent-less.
Given that, in the anticausative reading, prefixing the verb with auto places emphasis on the autonomous nature of the event, we tentatively suggest that, in that reading, auto is an intensifier emphasizing the agent-less nature of the anticausative: (32) λe. light_up(e,lamp) & ¬∃z agent(e,z) The modification in bold is a minimal variant of the agent-focusing modification (¬∃z(z ≠ x) agent(e,z), where x is the sentence agent). We refer to the modification in (32) as being agent-denying. If (32) is on the right track, auto is polysemous since its two variants share a core meaning: they both contain the formula ¬∃z agent(e,z), which generates agents relevant in the context and states that these agents are not involved in the event. Whereas, with agentive verbs, the formula applies to agents different from the one mentioned in the sentence-thereby emphasizing the role of the specified agent in the event-, with agent-less predicates, it emphasizes the fact that there is no agent to the event, thereby stressing the autonomy of the event.

ANTI-ASSISTIVENESS AND SUB-EVENTS
The anti-assistive formula defended by Spathas et al. (2015) states that for every subevent e 0 of the main event e, anti-assistiveness holds. The authors argue that the reference to sub-events accounts for two properties that afto shares with other anti-assistive intensifiers: 1) anti-assistive intensifiers are compatible with durative events (activities and accomplishments), but not with states or punctual events like achievements 9 ; 2) with anti-assistive predicates, modifiers like almost or partly quantify the number of sub-events for which the anti-assistive modification holds.
The fact that auto is compatible with punctual events and states provides confirmation that is not anti-assistive. Let us start with performative verbs. Performative verbs are considered achievements because they denote speech acts whose effect takes place instantaneously at the moment when the speech act is completed (Vendler 1970). Nevertheless, they accept auto-prefixation. That was illustrated in (29) with the verb proclamer 'proclaim' in the context proclaim oneself interim president. In that context, almost and partly do not quantify the degree of anti-assistiveness.
'Guaido partly proclaimed himself interim president.' Presque 'almost' in (33a) states that the event of proclaiming oneself interim president almost took place, but it didn't. That reading of almost is typical of achievements (cf. John almost won.) Partiellement 'partly' in (33b) does not mean that Guaido accomplished the speech act partly without help, as would be expected if it restricted the number of sub-events for which anti-assistiveness held (cf. John partly built the house himself). It also does not mean that Guaido is partly interim president. The only possible interpretation that we see is that Guaido stopped speaking in the middle of the sentence, i.e. during the preparatory phase, which prevented him from accomplishing the speech act. Thus, the adverbs modify the preparatory phase of the event; they do not measure a degree of anti-assistiveness. Apart from performative verbs, other punctual events do not involve sub-events: (34) a. Si elle se sent en danger de mort, if she REFL feels in danger of death, elle peut s'autoexploser en mille morceaux she can REFL self-explode in thousand pieces 'If she fells in mortal danger, she can explode herself to pieces' b. Pierre s'est autoexclu de l'équipe Pierre REFL BE aux self-exclude from the team 'Pierre excluded himself from the team' Instantaneous events are incompatible with anti-assistiveness, and, indeed, the examples are not interpreted as non-assistive or non-delegative. They state that the agent, and no one else, is responsible for the event affecting him or her.
Even the anticausative reading is not incompatible with punctual inchoative events. For instance, autoallumer 'self-light-up' may apply to an electronic device that is either on or off (also autoéteindre 'self-extinguish, self-turn-off').
(35) Ce détecteur de mouvements est programmé pour s'autoallumer this detector of movement is programmed to SE self-light-up à 5 heures pile. at 5 o'clock sharp 'This movement detector is programmed to switch on a 5 o'clock sharp.' In that context, adding presque 'almost' to autoallumer states that the event did not take place, and adding achever de 'finish' is not accepted. That shows that the event is not durative.
(36) Le détecteur de mouvement s'est presque autoallumé à 5h. the detector of movement SE BE aux almost self-switch-on at 5:00. 'The movement detector almost switched on at 5:00.' (37) #Le détecteur de mouvement achève de s'autoallumer. the detector of movement finish to SE self-switch-on 'The movement detector is finishing to switch on.' Finally, states are incompatible with anti-assistive intensifiers because they are not events (therefore they do not have sub-events), and they do not have agentive subjects. But auto is attested with states: (38) a. La vérité c'est que je m'autodéteste.
The truth it is that I REFL-1s self-detest 'The truth is that I detest myself' b. Cette caste s'autoadmire.
that caste REFL self-admire 'That caste admires itself' (Figaro Magazine 2004, quoted in fr.wiktionary.org/wiki/ s'autoadmirer, accessed 2021-10-24) c. L'Algérie s'autosuffit en tomate. The Algeria RELF self-suffice in tomato 'Algeria is self-sufficient in tomatoes.' The stative nature of these examples is demonstrated by their incompatibility with event-modifying adverbs like lentement 'slowly', brusquement 'suddenly'. It should be clear that anti-assistiveness does not reflect the meaning of the sentences. In (38a), for example, auto emphasizes the fact that the subject entertains the emotion towards himself/herself. To account for stative sentences, the agentfocusing formula would need to be extended to cover the external argument of eventualities (events and states), allowing the focus to be placed on the holder of a state. 10 To summarize, it was argued that auto is not anti-assistive in any of the three readings of auto-prefixed verbs distinguished by Mutz (2004Mutz ( , 2011. Before turning to the analysis of the constructions underlying these three readings, we will introduce a fourth reading observed for the first time, to our knowledge, in Labelle (2009).

THE CAUSATIVE READING
In (39), the auto-prefixed verbs express an autonomous event caused by the external argument of the verb, implicit in (39a) (Labelle 2009).
(39) a. Pour empêcher le vaisseau d'être capturé par un ennemi, to prevent the ship from being captured by an ennemy, il est possible de l'autodétruire. it is possible to it self-destroy 'To prevent the ship from being captured by an ennemy, it is possible to self-destroy it.' b. Tu peux choisir d'autoeffacer le fichier. you sg may chose to self-erase the file c. Vous pouvez autoconfigurer votre système. you pl may self-configure your system d. Comment puis-je autosupprimer un enregistrement how can I self-delete a recording lorsque la date est expirée? when the date is expired 'How can I self-delete a recording when the date has expired?' , the embedded event corresponds to the anticausative reading of auto, denoting an autonomous event 11 ; this shows that auto does not exclude the intervention of a causer. 12 Although this is debatable, we feel that autofinancer 'self-finance' in (40) also has a causative reading.
the SNCF self-finances its operations b. La SNCF CAUSE [ses opérations s'autofinancent] The SNCF CAUSE [its operations self-finance]. 11 The difference between auto and de lui-même surfaces here. Contrary to ex. (17), there is no redundancy in Fred a autodétruit le vaisseau de lui-même 'Fred self-destroyed the ship by himself': de lui-même does not modify the embedded event (even though it is masculine like le vaisseau); it necessarily associates with Fred. 12 An anonymous reviewer asks about back-formation, pointing out that in English self-destruct is considered a back-formation from self-destruction. We see no evidence for backformation: the French roots are phonologically distinct (auto)destruction N , (auto)détruire V . Moreover, it is unclear how an appeal to back-formation would account for the causative and anticausative readings.
In (40), the French railway company SNCF avoids being thrown into a deficit, by creating a situation where the money coming in through its operations finances the costs of the operations. It seems to us that, in that context, the causative reading in (40b) better represents the meaning of the clause than an agentfocusing one (the SNCF and no one else finances:::) that would also be pragmatically possible. More research would be needed to determine the frequency of this construction, that seems to be spreading with the development of intelligent systems allowing a user to trigger an autonomous process.
The causative reading confirms that auto attaches low in the structure, because it modifies the caused event. Auto has no connection with the external argument of the clause, and, clearly, it cannot modify the Voice Phrase dominating the external argument.
The causative reading is built on the anticausative reading of auto, emphasizing the autonomous nature of the change of state event. It is rejected if the change of state event is not autonomous (41a), and adding an external cause to an agentive verb with a reflexive reading appears impossible. We cannot say (41b) to mean Fred CAUSED [Paul congratulate himself].
Fred HAS aux self-congratulated Paul If the causative reading is built on an anticausative verb, it corresponds to the causative variant in the well-studied causative/anticausative alternation. The analysis proposed in 7.4 builds on that premise.

ACCOUNTING FOR AUTO-PREFIXATION
In this section, we explore an analysis of auto-prefixation within a generative perspective. We wish to account for the semantic derivations of the four readings identified in the previous sections (agent-focusing, reflexive, anticausative, causative). We deliberately keep the discussion informal. Various syntactic and semantic approaches to the facts are possible, and we will leave for future research the choice of the most appropriate ones. Our aim is more modest. We wish to show that it is possible to derive the four readings of autoprefixed verbs by merging auto within a verbal projection.
Our analysis assumes a v head whose role is to introduce in the derivation a variable for the external argument and assign it a thematic role; however, that head does not introduce the external argument in syntax (Labelle and Doron 13 Cf. the following example rejecting the possibility of an anticausative event of the glass self-breaking: La vitre ne peut pas s'autocasser non? 'The glass cannot self-break, no?' (https://fr.wiktionary.org/wiki/ autocasser). The judgments may change with technological advances. 2010; Harley 2013). A grammatical Voice head merged above vP determines the syntactic realization of the external argument: Active Voice provides a specifier in which the external argument is merged; Passive Voice introduces existential binding over the agent variable in short passives (e.g. Bach 1980, Keenan, 1985, Bruening 2013; with Reflexive Voice, the external argument is coindexed with an object. Anticausative Voice selects an agent-less VP. Our v head is not the categorizing v head of Distributed Morphololy, whose role is to type the word as a verb Marantz 2008, Embick 2010). In the structures below, we do no represent the category-typing heads.

Agent-focusing reading
In the agent-focusing reading, the intensifier auto selects a transitive verb and it creates a focus on the agent. We assume that auto combines with an open predicate to yield an open predicate, and its associate is the free variable within the predicate.
The semantic derivation of (42a) is given in (42b). The crucial point in this derivation is that auto is merged after the merge of the agent variable.
The VP describes an event of managing one's diabetes. The v head adds a variable bearing the agent role. Auto merges with the vP, and its associate is the x variable corresponding to the agent. It introduces focus on the agent by adding a modification stating that no other member of a contextually relevant set of alternatives is the agent (as well as Mutz's contiguity condition, not represented here). The referent of the agent is introduced in the specifier of Active Voice. The sentence states that the patients, and no other contextually relevant entity, are responsible for managing their diabetes.
We assume that the prefix auto-is not a root affix, but a level II affix, that is, a head that attaches to an xP and combines with categorized material (Creemers et al. 2018), in the present case with a verb. A level II analysis of auto finds support in the neologisms illustrated in (7) (auto-pelure-de-bananiser) and (8b) (auto-casser la gueule), and in the fact that auto may receive focal stress. Auto, in (42), merges with a verb projection; however, auto itself does not project a category, it is not a category-changing affix. The syntactic derivation of (42) goes as follows. When v is merged, the verb raises to v. When auto is merged, it attracts the phonologically adjacent verb to satisfy its affixal requirement, and the two elements are linearized in accordance with the prefixal nature of auto-. Because the prefix is not categorized, the complex word is a verb, and the category of the phrase is unchanged. From there, the complex verb may move further up the tree; in (42), it moves to the Tense head, standardly assumed to be higher than Voice.
If an nP node immediately dominated auto (mutatis mutandis), we would have the agent-focusing eventive nominal autogestion du diabète 'self-management of diabetes'. The agent role of the event denoted by the nominal could be expressed in a by-phrase (l'autogestion du diabète par les patients 'the self-management of diabetes by the patients'). (On nominalizations, cf. Alexiadou 2010a,b, Embick 2021, Sleeman and Brito 2010 7.2. Reflexive reading Labelle (2008) argued that, in reflexive sentences, se is a Reflexive Voice head that combines with an open predicate containing a variable for an accusative or dative object, and it marks the predicate as reflexive. This is expressed with the formula in (43). The y variable corresponds to the missing object, which is generally the theme or the goal of the event, but it could also be an applicative object (as in 8b) or the accusative subject of a small clause complement (as in 29). The equation y=f(x), stating that the referent of the object is a function of that of the agent, allows for the near-identity of the two entities in some reflexive clauses. When there is identity between the object and the agent, y=x, and we can replace y by x everywhere. This yields the standard reflexive formula, denoting events affecting an entity x whose agent is also x: A simple agent-focusing reading of auto in the reflexive reading does not express the intuition that auto is a reflexivizer. The reflexivizing role of auto can be captured if the modification introduced by auto forces the merge of an agent coreferential with the object. This may be obtained by supposing that auto merges with the VP (cf. also Sportiche 2014:117), and associates with a free object variable within this VP. Because we distinguish v and Voice, we suppose, in (45)  The lower VP describes an event of congratulating y, whose object is not realized. Auto merges with that VP. In (42), the associate of auto was the x variable corresponding to the agent; here it is the y variable corresponding to the missing object. The modification introduced by auto adds to the interpretation the condition that there is no agent to the event other than the entity represented by the y variable, thereby introducing a condition of coreference between the agent and the object. If the node dominating auto were NP instead of VP (mutatis mutandis), the nominal would be interpreted as reflexive: autocongratulation 'self-congratulation'. Here, we have an agentive verb, and v introduces the agent variable. The only way to end up with a coherent interpretation is then to coindex the x and y variables using the Reflexive Voice morpheme se, which introduces the equation y=f(x). Because auto states that the agent is no other than y, the formula reduces to y=x, and we may use x instead of y everywhere. This yields the formula λxλe.congratulate(e,x) & Ag(e,x) & ¬∃z (z≠x) Ag(e,z), which is reflexive and agent-focusing. The constituent merged in the specifier of Voice is substituted for the x variable. The sentence states that Donald, and no one else, congratulates himself. This analysis is in line with Labelle's (2008) claim that the modification added by auto forces the merge of the Reflexive Voice head se to mark the coreference between the agent and object variables.
As above, the prefix auto-attracts the verb, to which it affixes. As for se, it is not an affix on a lexical verb, but a clitic targeting the highest accessible inflectional head within the verb's extended projection, Tense in (45). Recall that in complex tenses, se cliticizes on the être auxiliary, whereas the lexical verb remains below Voice (cf. Jean s'est souvent autoanalysé, section 3). In (45), se could enjoy a piggyback ride to Tense by cliticizing on the auto-prefixed verb, that also targets Tense.

Anticausative reading
For anticausative sentences, we suggested that auto adds the agent-denying modification highlighted in (46b) (cf. If something like (46b) is correct, auto modifies an anticausative predicate with no free variable. It can combine via event identification (Kratzer 1996:122).
In (47), auto, merges with the VP, placing emphasis on the fact that the event is autonomous. Anticausative Voice, headed by se, selects an agent-less VP and allows the movement of the theme to its specifier or to a higher head (cf. e.g. Labelle and Doron 2010 for a similar analysis of French anticausatives).
If an NP node immediately dominated auto, we would have a nominal denoting an autonomous event: autoallumage de la lampe.

Causative reading
A possible derivation of the causative reading is illustrated in (48), which assumes Pylkkänen's (2008:88) Theta-Role Analysis of the causative variant of English verbs entering the causative alternation. In Pylkkänen's analysis, the transitive variant of the verb is derived by adding to the anticausative variant a head introducing a causer role: λx.λe.Causer(e,x). Contrary to the agent role, the causer role subsumes both the existence of a causal event and of an agent to that cause. Pylkkänen (2008:99) argues that, semantically, this is equivalent to first merging a causal event (λe.λe 0 Cause (e 0 ,e)), then merging an agent of the causal event (λx.λe 0 .Agent(e 0 ,x)), a two-step derivation that could be an alternative to (48).
Apart from auto, the derivation is identical to that of the causative variant in the causative/anticausative alternation. The VP of (48) is that of the anticausative reading (47). Auto merges with VP, forcing a reading in which this event is autonomous. Since anticausatives have no agent, a fact emphasized by auto, v cannot introduce an external argument with an agent role. But nothing prevents v from assigning a causer role. As mentioned above, this is semantically equivalent to adding e1 above e2 in: [ e1 x CAUSE [ e2 ship self-destroy]]. Crucially, auto scopes only over the destruction event, and it has no bearing on the causative event that is merged above it. The external argument is the agent of the CAUSE predicate (e1), but not of the destruction event (e2). The referent of the causer is realized in the specifier of Active Voice. The sentence means that Fred was the causer of an autonomous event of ship destruction: once the destruction is launched, it unfolds autonomously.
With the nominal autodestruction, the causer may be expressed in a by-phrase: l'autodestruction du vaisseau par ses occupants 'the self-destruction of the ship by its occupants'. This shows that the nominal constituent may include the causative level.
To summarize, we distinguished two variants of auto that share a core component of meaning (¬∃z agent(e,z)), making this morpheme polysemous. In both variants, auto is an intensifier merged to a verbal projection. The first variant associates with a free variable, and it introduces in the semantics an agent-focusing modification denying the existence of alternative agents. It is found in the agent-focusing reading and in the reflexive reading, the difference between the two readings stemming from the level at which auto is merged. The second variant attaches to predicates having no free variable with which auto could associate; it introduces a modification emphasizing the fact that the event is agent-less; this variant merges with VP, and it is found in the anticausative reading and in the causative reading.
Various alternatives to the above structures are possible, as well as various semantic approaches to the facts. We do not claim to have a definitive analysis, but we hope to have shown that a few simple assumptions may go a long way towards accounting for auto-prefixation in French.

CONCLUSION
The present paper focused on the French verbal prefix auto. From a syntactic point of view, it was argued that auto merges within a verbal projection, below the grammatical Voice head. From a semantic point of view, we argued that antiassistiveness does not properly reflect the meaning of auto, and that it wrongly predicts that auto should be incompatible with punctual events and states. We argued that auto is an intensifier whose semantic contribution to the sentence is to state that no agent, or no agent other than the one mentioned, participated in the event. The prefix has two variants, making it polysemous. In one variant, the prefix associates with a free variable and it generates agents different from the one referred to by the variable; this produces the agent-focusing interpretation observed in transitive and reflexive sentences. The second variant combines with an anticausative verb phrase that does not contain a variable; this variant produces an agent-denying interpretation and it emphasizes the autonomous nature of the event.
We sketched an analysis of auto-prefixed verbs in which the agent is severed from the verb and introduced by v in the semantics, but it is not syntactically realized at that level. Within the vP/VP projection, the prefix auto introduces a modification stating that no agent, or no agent other than auto's associate, is responsible for the event, the exact contribution of auto depending on the constituent that it modifies. The presence of an associate, the nature of the associate, and the level at which the variant is merged give rise to the different readings of auto-prefixed verbs. If the present solution is on the right track, it supports models in which the external argument variable is introduced at the vP level and grammatical Voice is responsible for its syntactic realization.