{"id":812,"date":"2015-10-22T13:31:25","date_gmt":"2015-10-22T18:31:25","guid":{"rendered":"http:\/\/haleyai.com\/wordpress\/?p=812"},"modified":"2018-07-19T14:16:02","modified_gmt":"2018-07-19T19:16:02","slug":"properly-disambiguating-a-sentence-using-the-linguist%e2%84%a2","status":"publish","type":"post","link":"http:\/\/haleyai.com\/wordpress\/2015\/10\/22\/properly-disambiguating-a-sentence-using-the-linguist%e2%84%a2\/","title":{"rendered":"Properly disambiguating a sentence using the Linguist&#x2122;"},"content":{"rendered":"<p>Consider the following disambiguation result from a user of Automata\u2019s Linguist&#x2122;.<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/improperly-disambiguated-sentence-having-modified-conjunctive-formula.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-802\" title=\"improperly disambiguated sentence having modified conjunctive formula\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/improperly-disambiguated-sentence-having-modified-conjunctive-formula.png\" alt=\"\" width=\"1133\" height=\"684\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/improperly-disambiguated-sentence-having-modified-conjunctive-formula.png 1133w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/improperly-disambiguated-sentence-having-modified-conjunctive-formula-300x181.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/improperly-disambiguated-sentence-having-modified-conjunctive-formula-1024x618.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p><!--more-->Notice the following:<\/p>\n<ol>\n<li>conflation is set to \u201call\u201d in the right most drop-down list on the toolbar<\/li>\n<li>rendering of elided arguments is suppressed since the \u201c\u2026\u201d item on the toolbar is not toggled on<\/li>\n<li>the pronoun \u201cthem\u201d is specified as referencing \u201cmammals\u201d rather than \u201ctheir young\u201d<\/li>\n<li>\u201cto maturity\u201d complements the conjunction of nurse and nurture\n<ul>\n<li>which is fine if that is the intent, but we assume it should complement only \u201cnurture\u201d<\/li>\n<\/ul>\n<\/li>\n<li>the existential symbol before a unary predicate for \u201cmaturity\u201d\n<ul>\n<li>where a binary predicate for maturity having an \u201cof\u201d argument may be desirable<\/li>\n<li>where that second argument would be specified as referencing \u201ctheir young\u201d<\/li>\n<\/ul>\n<\/li>\n<li>two rendering problems given that all conflation is enabled and ellipsis is not to be rendered\n<ol>\n<li>\n<ul>\n<li> i.e., they should be treated as elided given they are not referenced<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<ul>\n<li>the variable ?e2 should occur a 2<sup>nd<\/sup> time (in the \u201cand\u201d literal)\n<ul>\n<li>otherwise the head complemented by the \u201cto\u201d literal is unspecified<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li>the existential quantifications of variables ?e9 and ?e21 should be suppressed<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p>The rendering problems were reported to Automata and addressed as reflected in the concluding screen capture of this document.<\/p>\n<p>To correct what \u201cto maturity\u201d complements, we either disambiguate again (using the appropriate tool item, all of which have tool-tips) or we re-parse the sentence, which results in the following dialog:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/automatic-parse-of-modified-conjunctive-formula-for-approval.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-803\" title=\"automatic parse of modified conjunctive formula for approval\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/automatic-parse-of-modified-conjunctive-formula-for-approval.png\" alt=\"\" width=\"528\" height=\"465\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/automatic-parse-of-modified-conjunctive-formula-for-approval.png 528w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/automatic-parse-of-modified-conjunctive-formula-for-approval-300x264.png 300w\" sizes=\"auto, (max-width: 528px) 100vw, 528px\" \/><\/a><\/p>\n<p>As this is the desired syntactic structure, we approve the dialog and continue disambiguation.<\/p>\n<p>The following clauses are automatically selected as a result of our syntactic approval:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantic-clauses-resulting-from-approval-of-automatic-parse-of-modified-conjunctive-formulas.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-804\" title=\"semantic clauses resulting from approval of automatic parse of modified conjunctive formulas\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantic-clauses-resulting-from-approval-of-automatic-parse-of-modified-conjunctive-formulas.png\" alt=\"\" width=\"1067\" height=\"412\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantic-clauses-resulting-from-approval-of-automatic-parse-of-modified-conjunctive-formulas.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantic-clauses-resulting-from-approval-of-automatic-parse-of-modified-conjunctive-formulas-300x115.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantic-clauses-resulting-from-approval-of-automatic-parse-of-modified-conjunctive-formulas-1024x395.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>There being no further semantic disambiguation to be performed we can change to \u201cdetailed\u201d clauses using the appropriate drop-down list on the toolbar or we can proceed to the derivations tab.<\/p>\n<p>The derivations tab will show us what appears to be equivalent semantics.<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/apparently-equivalent-under-specified-semantics-of-two-parses.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-805\" title=\"apparently equivalent under-specified semantics of two parses\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/apparently-equivalent-under-specified-semantics-of-two-parses.png\" alt=\"\" width=\"1067\" height=\"739\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/apparently-equivalent-under-specified-semantics-of-two-parses.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/apparently-equivalent-under-specified-semantics-of-two-parses-300x207.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/apparently-equivalent-under-specified-semantics-of-two-parses-1024x709.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>The detailed clauses allow us to discriminate between these 2 derivations by selecting that \u201ctheir\u201d is a plural reference:<a href=\"#_ftn1\"><sup>[1]<\/sup><\/a><\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/detailed-clauses-discriminating-among-otherwise-equivalent-under-specified-semantics.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-806\" title=\"detailed clauses discriminating among otherwise equivalent under-specified semantics\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/detailed-clauses-discriminating-among-otherwise-equivalent-under-specified-semantics.png\" alt=\"\" width=\"1067\" height=\"739\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/detailed-clauses-discriminating-among-otherwise-equivalent-under-specified-semantics.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/detailed-clauses-discriminating-among-otherwise-equivalent-under-specified-semantics-300x207.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/detailed-clauses-discriminating-among-otherwise-equivalent-under-specified-semantics-1024x709.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>After which a single derivation survives, as shown below:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-discriminating-among-detailed-clauses.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-807\" title=\"under-specified semantics after discriminating among detailed clauses\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-discriminating-among-detailed-clauses.png\" alt=\"\" width=\"1067\" height=\"739\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-discriminating-among-detailed-clauses.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-discriminating-among-detailed-clauses-300x207.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-discriminating-among-detailed-clauses-1024x709.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>The most obvious next steps are to resolve the pronouns, as in:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-resolving-2-pronomial-references.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-808\" title=\"under-specified semantics after resolving 2 pronomial references\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-resolving-2-pronomial-references.png\" alt=\"\" width=\"1067\" height=\"739\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-resolving-2-pronomial-references.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-resolving-2-pronomial-references-300x207.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-resolving-2-pronomial-references-1024x709.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>The next most obvious step is to specify \u201cmammals\u201d as having the outermost scope and being universally quantified.\u00a0 This is done by selecting \u201coutermost\u201d from the drop-down list when clicking on the \u201cwithin\u201d column in the row for the quantification of \u201cMammals.\u201d and selecting the universal quantifier from the drop-down list when clicking on the logic column of the same row.<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-outermost-universal-quantification.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-810\" title=\"under-specified semantics after specifying outermost universal quantification\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-outermost-universal-quantification.png\" alt=\"\" width=\"1067\" height=\"739\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-outermost-universal-quantification.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-outermost-universal-quantification-300x207.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-outermost-universal-quantification-1024x709.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>It is probably the case that we want universal quantification over the young rather to assert that for every mammal there exists some young that it nurses and nurtures.<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-2nd-universal-quantification.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-809\" title=\"under-specified semantics after specifying 2nd universal quantification\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-2nd-universal-quantification.png\" alt=\"\" width=\"1067\" height=\"739\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-2nd-universal-quantification.png 1067w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-2nd-universal-quantification-300x207.png 300w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/under-specified-semantics-after-specifying-2nd-universal-quantification-1024x709.png 1024w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<p>The existential quantification of the situational variables are implicit in the nurse and nurture literals, respectively, but are not rendered for brevity (since they are not co-referenced).<\/p>\n<p>We can select either of the first 2 readings as desirable (the order of the adjacent existential quantifiers has no logical effect) since each existential should be within the scope of both universals.<\/p>\n<p>After Automata addressed the rendering issue, the result is as follows:<\/p>\n<p><a href=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantics-after-selecting-desired-logical-reading.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-811\" title=\"semantics after selecting desired logical reading\" src=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantics-after-selecting-desired-logical-reading.png\" alt=\"\" width=\"827\" height=\"655\" srcset=\"http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantics-after-selecting-desired-logical-reading.png 827w, http:\/\/haleyai.com\/wordpress\/wp-content\/uploads\/semantics-after-selecting-desired-logical-reading-300x237.png 300w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/a><\/p>\n<hr size=\"1\" \/><a href=\"#_ftnref1\"><sup>[1]<\/sup><\/a> the singular sense of \u201ctheir\u201d can be eliminated from the lexicon entirely if more formal but less robust grammar is expected<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Consider the following disambiguation result from a user of Automata\u2019s Linguist&#x2122;.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,16],"tags":[700,701,527,703,513,699,702],"class_list":["post-812","post","type-post","status-publish","format-standard","hentry","category-formal-logic","category-natural-language","tag-co-reference-resolution","tag-discriminatory-disambiguation","tag-linguist","tag-logical-scope","tag-natural-language-understanding","tag-quantification","tag-syntactic-ambiguity"],"_links":{"self":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts\/812","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/comments?post=812"}],"version-history":[{"count":10,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts\/812\/revisions"}],"predecessor-version":[{"id":1528,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/posts\/812\/revisions\/1528"}],"wp:attachment":[{"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/media?parent=812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/categories?post=812"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/haleyai.com\/wordpress\/wp-json\/wp\/v2\/tags?post=812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}