CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '9135444c1f9c4b80',cH: 'kRLq8Y4JaoxgXYIrjmplpkh6VxwqeeKWBqlKGfoMUf4-1739789953-1.2.1.1-lmq10tDJKRwZaZ.UJ.sHlvhnfGM6gqY2gDg7UYI83vCZXfJFrgTOQIoFYXpIKwrt',cUPMDTk: "\/abstracts\/search?q=optimality%20theory&__cf_chl_tk=t0cmdrZyL5INWb_oSf8UEtKxgS1M6BbWe1OrMWKxjvs-1739789953-1.0.1.1-6FCS9nZSiYsC5xSgLSRYBTaqMg0qfF810P27GLrAoPI",cFPWv: 'b',cITimeS: '1739789953',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=optimality%20theory&__cf_chl_f_tk=t0cmdrZyL5INWb_oSf8UEtKxgS1M6BbWe1OrMWKxjvs-1739789953-1.0.1.1-6FCS9nZSiYsC5xSgLSRYBTaqMg0qfF810P27GLrAoPI",md: "LDZjeqd0Afr9ksXJsM4E83Hd1SdfDb7lVo1kLDmyr9E-1739789953-1.2.1.1-UX2RwzkhAAE0MYfMQvVt0fTDVZHKBeiqMXYbtWkY6EOu6PGBM3akto2bpbPGokZs2I0yl_9BolLfvX3Y81lWd8uwItjmZ99vZDvsIENQFYvgEsi5NXbJuUzKmaJbkmdc91jwDkUqGG7vQQFo8aZjV8bB8NcV3j0sNBM2b6Uo.lUS3we.qzHEMQ.Ub4LfxdKkMgwVFodHgayWInAO28m7uA3mkxpliTtJLlPKwYvS2SeGWULXj8vrOtt72ae5a3_7RBJMdGoiBOrGTWOmd5BVehElim.ATX863CG97hBnlVAbA5orFaqDSNAl8Ooy8n1XWUhWhXk6FVr_2N.df2SHlVWq9wbUUdtTgvcPTs9lJ49Nh9M.bTnI1cLxRoxcVMEbW2jT1U9zX04PkZepcnKpteyTnpboJvGOf6pmH07AN1gKfGUgApoSfO.eBvW_cKb7HscXksbeTVBcD6qxaVCnpWB77be2g5seJfr1Iqf0qdEBpECQyHvWBx.Rq.jrQ8_Otasf5VnjtGbg9S43rAwrBHQ31RLkKwNAHG4pK7oxi4aa7oMdBro5wX4WAQLkMQX9fCY6lAgTN_cOALmfkYWzv5HfPWq418WmrdtC_5jiUorVv7J7Hq3INjl_pGn.Pub8wbrKNb08Bu4EOqcD5CCbpsiMWwp4_fdg.S6mDotCGCLI4cbweUd_3yhkBAwWChpBNTnuQJfaot8c9nbIaqI6FJjogq1cFECHoftaW7Cw8fTPMSBWoCFvfftrnLWrUPv6amJv_LZSBEfaoaqjkIzobivBGINbK2t_asA2oHBQXeAzd26eyP.ujm2GoSSe94TVmD_oFK7DZoMgCz7gZYQpX.YVtq9d0I_F1Vp9BD1pEM_Qy3r3PhZzRA5wgqwtZ7nQDhzhLFQeltxMSXAnleNKoxY8KroyVvZ6w3JY6U_IeTjaK_8iyf3t.sU3_J1zlNUbFPPuPtnAqkhh0gmaE5OX3bJsNPRczLU_f27CtuH_yye1e_0v2XiAVsapP6TiQgD2q3Mvemvk2uOIasSS.9tI0AcMOUqvUhobAMINm5PVUMhDHD4t.sqJRJK1T6KaF8QcaPP8MK6b2WYKKyp4mhC623HSY8VU5xa1W46gBNOeAPw78jPX0q9FFD09yEY.vo1k1hGYVmOKRcfpbInkLMJz090CjicuIREjcTv4IOF4uIKJtjf.LVDcBhLeKR43ZANRj8Jp16jwTdHELsMRl9kce4aIlKI0ElK7.XXJNUPy88bghqYMfCxkV0H6YIIv2Lzk3wYlFkKAOYdArHEeQxovnX8dS9hnSwfQs9Gwn.ldknFQ3u7fPOLin_rGlTZ1cuwKGCR.YqMqcINVY3ndu0bjLbcJEmM5t2PQQfm9TRl6BhG8_Q2.DcVyVP8tVRIsZtlZC1v.kh3DY0PrjisIeKShaGBeg8mnkLq4N4Ydx1o0d2S4e.0r.Y6EzRfWj1YF7dWQ93ecduDQ91x1audwRyNNg7q4VGYrhmn50_PhaJoHKQauE9Xj77VcTi8jhNON4ZZFPWFYyacMghAus7aZK8yNafKJIvv8MH.LCmuhboTgVqW1dC8rsd5dfaEdPJzUXDNMleks5rryBoLiOpMm2_hWlfgo_Ld8oyF_E0bJlLv0hoF4hJhMDCVghzgM62AjcrdRn.8qfriTsach9w8zUjzCOsWr2XAv9aXxXYq1b3VlQmKqQ1hZ6gEJfvEB0Uge75k90mu8fIiiInX_uXh9mkaOQOiodZaQVg8w0D3DRvK816Ee3nLjor6cX0u2TiLJoNRfZZ1WxMtXf.9NDjdcKP7seEr2WT2E30NBpTX3pXmOc1WxIpyrBfDOr2Th5Nit1CfsrQQ9bJyj9uhEgcy5vUlLf9rSSTmLRZeldJFrcft3SZ07xC9cZH12ECjXvY_CECVCbNF1VrQVSKKZT1u.DcVDmcjM.x99NLzweqgP_K2sOTY",mdrd: "d.am0CIc4c9fojJrYorCGLt5ljdFdXo0C8sKsqfn4.8-1739789953-1.2.1.1-bX0FYoxUyiqK6kqOuW9bPo4wJNPvHRA2b0f5cJTseiXvMU3TFaF3kztm6LsUUQmhIMGvaotw6cSo37XgKa8G8u3K3RWWTsq5uQiN5EN6ZRy.Qah9ESGoUhtAGKqjj.1fMNx2GoN5dajskLisbiaoz.gToxuwsCp952WiloX3e26jXL8Icrr4uwVi7ePjP.PTL7FaKaR3WGbIGzVLgz_ZFPDjVYrFCvyONu_JZ7MdeOiKEeWNpnKQKT05SJnqChS9QlCGeIY0fydOgTImhqS0jdZDV54csPEakVCK9gv_S6UlB7btxw75hpySgeZ_P51xIKlGa6c0nDdyenKllJ5h0xxBiETHZWQg38F.hZOx38OmcD31RoVXFut1kKsJn5wpvF45RAGHFmw7z7tibM6dXsaRxOZExJhO8yf6ID9loPyQkACxveWXRGaz2XsrE1e2DinubtuOEWxKVeQ6CdVwI.Mf6k4AIn7FYxrGhkGvHaeuBN2l4pHEBBqmXgeO2jwQZ1ykzSswM4vO2dz.18Sl1GWBiRSbOV78u2MJX_.ztcTnzHy1UJPuwxeYGt_jxBEKeqQTtqJKmFQ7ifq51jrEComuL5f_BwxzhiJcB4bDG60ZQgi75FgDP9YLkrA1KmanQexjvh9XZIJZ5WHk.nOBmaSpWNiYy.DwLMRP330dap9y.7n2.kOZyTEjZKtvieUVa4I76n.u7KpQRAhLk5ur8hjYnPVz1uApqRUM9uUORHGjpxpL_6kGkhWmWfO49.UT3RVIfOQd9OYu8AWEvz7HpIQWUIHKQIhbCeIBvwYEosQiIksh997V2RyVUXloas0BN_Qbu1a2.4N7rT.g_amRhynwosy4evEknWLGNTb6__8JRMIwmnKJUtEqIA5v35.qTAuKiIkwNbAspypffHN_rP4sNZ3P3w11HXZ8HNcccFVXJLzoc0yAFJApXFp8Lco5IjfBAkpSGsETXPmpSV02QqZTjQGI2moMvNvTKtiRYcmNUolTTVIfU_NXAwsf.iAtXhreD6nAmm8RD0ITCpzvlBUnrHzUI6gNmPL_EdjSdG8qFtPQUI51QbCW6.W_XrcYJUT06tehiNowGaVZ95RBO9FqO5hOPksNTHDRleWL5O3WU6fqRbmI3l1VWnAJ5AmpIqT5uufkPV8l8BQM_3F.6bOl068i2Bd.vdxHFvqPY8UYGrGa6YR6.yFI92S.g6kT2EyfF.1gxodxdcr992FCobBbOZDdKOVN5itOkdelcDGegQ7NwXYi_dCPV.MnGM4sD8Z4KaSHf6_2kIfkRmpwaWjVuJuuU_8VMO2FyJcudMGELz0NOPkXysHZwUl2.0dffWA4U0lY5WszMxNg38p5nJNu8JhsTtmzDze4QZ6daLcRb4pWm2cFiSWSHgVqR1u6Apzj6aP4Qa8Ml3kTC57aZUqRn3.2YrfhMTiD.KMmYIZBOzhoTl2TdX_7rvfzv9y8GP6VdcKEn0WeHsdwRaNDdGRU.UuCe2Gop9bGHIfkl2e.s8hQfTtfs6fsIJC26_0LLdAbeRKKmzu68rYxUC06luhwHnRT.dmXeiLkBS4a24DjsoFIqiplyn1YGZuXG6BEyHDtqEjduPlts7TLlGTuSrOVZtmUBd5uHGP5VynTfQ1G7pBOEx3Hbuo3YfxYshxKgfnHeY7ikXr1cZF19kqXQAuqJAATgYbQV1en6EVQqWCDdgtHY0gAlLEDb495Q7Zh_bmMDpXP8Ao2z0U8pwUBo7W9I2bt5IdHE_up_vbYp.Vqj5pcu1t5KJFTFdk188Xi54EWFBQcHyiyqffY9Dvu56DkvchhR8uMSPqGIKr.Y8OnvQa8e5peN.Md4dXMxzQa9ahSCd5AV05Xl7FwlnAPeroEVYm4pGduGgJZIgid.7Mry5_Zrzel5R3aF2IAfOXJbGDGAVcYjw4apF5TbRUrKVlev9h.5qQab.BID1IYezPkM32dO8xIR4SDx3_x2qOS"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=9135444c1f9c4b80';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=optimality%20theory&__cf_chl_rt_tk=t0cmdrZyL5INWb_oSf8UEtKxgS1M6BbWe1OrMWKxjvs-1739789953-1.0.1.1-6FCS9nZSiYsC5xSgLSRYBTaqMg0qfF810P27GLrAoPI" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>