Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2095943001', 'doi': 'https://doi.org/10.1613/jair.3351', 'title': 'Decidability and Undecidability Results for Propositional Schemata', 'display_name': 'Decidability and Undecidability Results for Propositional Schemata', 'publication_year': 2011, 'publication_date': '2011-03-22', 'ids': {'openalex': 'https://openalex.org/W2095943001', 'doi': 'https://doi.org/10.1613/jair.3351', 'mag': '2095943001'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1613/jair.3351', 'pdf_url': 'https://jair.org/index.php/jair/article/download/10697/25560', 'source': {'id': 'https://openalex.org/S139930977', 'display_name': 'Journal of Artificial Intelligence Research', 'issn_l': '1076-9757', 'issn': ['1076-9757', '1943-5037'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315760', 'host_organization_name': 'AI Access Foundation', 'host_organization_lineage': ['https://openalex.org/P4310315760'], 'host_organization_lineage_names': ['AI Access Foundation'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'diamond', 'oa_url': 'https://jair.org/index.php/jair/article/download/10697/25560', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5017246972', 'display_name': 'Vincent Aravantinos', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}, {'id': 'https://openalex.org/I899635006', 'display_name': 'Université Grenoble Alpes', 'ror': 'https://ror.org/02rx3b187', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I899635006']}, {'id': 'https://openalex.org/I4210104430', 'display_name': "Laboratoire d'Informatique de Grenoble", 'ror': 'https://ror.org/01c8rcg82', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I106785703', 'https://openalex.org/I1294671590', 'https://openalex.org/I1326498283', 'https://openalex.org/I4210104430', 'https://openalex.org/I4210159245', 'https://openalex.org/I899635006']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'V. Aravantinos', 'raw_affiliation_strings': ["Université de Grenoble (LIG/CNRS), Bât. IMAG C, Saint Martin d'Hères, France#TAB#"], 'affiliations': [{'raw_affiliation_string': "Université de Grenoble (LIG/CNRS), Bât. IMAG C, Saint Martin d'Hères, France#TAB#", 'institution_ids': ['https://openalex.org/I1294671590', 'https://openalex.org/I899635006', 'https://openalex.org/I4210104430']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5004015866', 'display_name': 'Ricardo Caferra', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}, {'id': 'https://openalex.org/I899635006', 'display_name': 'Université Grenoble Alpes', 'ror': 'https://ror.org/02rx3b187', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I899635006']}, {'id': 'https://openalex.org/I4210104430', 'display_name': "Laboratoire d'Informatique de Grenoble", 'ror': 'https://ror.org/01c8rcg82', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I106785703', 'https://openalex.org/I1294671590', 'https://openalex.org/I1326498283', 'https://openalex.org/I4210104430', 'https://openalex.org/I4210159245', 'https://openalex.org/I899635006']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'R. Caferra', 'raw_affiliation_strings': ["Université de Grenoble (LIG/CNRS), Bât. IMAG C, Saint Martin d'Hères, France#TAB#"], 'affiliations': [{'raw_affiliation_string': "Université de Grenoble (LIG/CNRS), Bât. IMAG C, Saint Martin d'Hères, France#TAB#", 'institution_ids': ['https://openalex.org/I1294671590', 'https://openalex.org/I899635006', 'https://openalex.org/I4210104430']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5079985573', 'display_name': 'Nicolas Peltier', 'orcid': 'https://orcid.org/0000-0002-8943-7000'}, 'institutions': [{'id': 'https://openalex.org/I4210104430', 'display_name': "Laboratoire d'Informatique de Grenoble", 'ror': 'https://ror.org/01c8rcg82', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I106785703', 'https://openalex.org/I1294671590', 'https://openalex.org/I1326498283', 'https://openalex.org/I4210104430', 'https://openalex.org/I4210159245', 'https://openalex.org/I899635006']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}, {'id': 'https://openalex.org/I899635006', 'display_name': 'Université Grenoble Alpes', 'ror': 'https://ror.org/02rx3b187', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I899635006']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'N. Peltier', 'raw_affiliation_strings': ["Université de Grenoble (LIG/CNRS), Bât. IMAG C, Saint Martin d'Hères, France#TAB#"], 'affiliations': [{'raw_affiliation_string': "Université de Grenoble (LIG/CNRS), Bât. IMAG C, Saint Martin d'Hères, France#TAB#", 'institution_ids': ['https://openalex.org/I4210104430', 'https://openalex.org/I1294671590', 'https://openalex.org/I899635006']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 5.862, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 28, 'citation_normalized_percentile': {'value': 0.903954, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 92, 'max': 93}, 'biblio': {'volume': '40', 'issue': None, 'first_page': '599', 'last_page': '656'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10126', 'display_name': 'Program Analysis and Verification Techniques', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10126', 'display_name': 'Program Analysis and Verification Techniques', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11010', 'display_name': 'Logic Programming and Knowledge Representation', 'score': 0.9995, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10142', 'display_name': 'Formal Methods in Software Verification and Control', 'score': 0.9975, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/undecidable-problem', 'display_name': 'Undecidable problem', 'score': 0.89815193}, {'id': 'https://openalex.org/keywords/well-formed-formula', 'display_name': 'Well-formed formula', 'score': 0.6686658}, {'id': 'https://openalex.org/keywords/iterated-function', 'display_name': 'Iterated function', 'score': 0.62486285}, {'id': 'https://openalex.org/keywords/satisfiability', 'display_name': 'Satisfiability', 'score': 0.573778}, {'id': 'https://openalex.org/keywords/nonmonotonic-reasoning', 'display_name': 'Nonmonotonic Reasoning', 'score': 0.524572}, {'id': 'https://openalex.org/keywords/satisfiability-modulo-theories', 'display_name': 'Satisfiability Modulo Theories', 'score': 0.510628}, {'id': 'https://openalex.org/keywords/constraint-logic-programming', 'display_name': 'Constraint Logic Programming', 'score': 0.509521}, {'id': 'https://openalex.org/keywords/modal-logics', 'display_name': 'Modal Logics', 'score': 0.505795}, {'id': 'https://openalex.org/keywords/description-logics', 'display_name': 'Description Logics', 'score': 0.50365}, {'id': 'https://openalex.org/keywords/boolean-satisfiability-problem', 'display_name': 'Boolean satisfiability problem', 'score': 0.4276236}], 'concepts': [{'id': 'https://openalex.org/C192034797', 'wikidata': 'https://www.wikidata.org/wiki/Q3502995', 'display_name': 'Undecidable problem', 'level': 3, 'score': 0.89815193}, {'id': 'https://openalex.org/C153269930', 'wikidata': 'https://www.wikidata.org/wiki/Q430001', 'display_name': 'Decidability', 'level': 2, 'score': 0.8502673}, {'id': 'https://openalex.org/C191222856', 'wikidata': 'https://www.wikidata.org/wiki/Q655328', 'display_name': 'Well-formed formula', 'level': 5, 'score': 0.6686658}, {'id': 'https://openalex.org/C14523651', 'wikidata': 'https://www.wikidata.org/wiki/Q3492863', 'display_name': 'Propositional variable', 'level': 4, 'score': 0.6312829}, {'id': 'https://openalex.org/C140479938', 'wikidata': 'https://www.wikidata.org/wiki/Q5254619', 'display_name': 'Iterated function', 'level': 2, 'score': 0.62486285}, {'id': 'https://openalex.org/C165464430', 'wikidata': 'https://www.wikidata.org/wiki/Q1570441', 'display_name': 'Parameterized complexity', 'level': 2, 'score': 0.6238346}, {'id': 'https://openalex.org/C69562738', 'wikidata': 'https://www.wikidata.org/wiki/Q200694', 'display_name': 'Propositional calculus', 'level': 2, 'score': 0.61762637}, {'id': 'https://openalex.org/C168773769', 'wikidata': 'https://www.wikidata.org/wiki/Q1350299', 'display_name': 'Satisfiability', 'level': 2, 'score': 0.573778}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.5564991}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.54181373}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.49479955}, {'id': 'https://openalex.org/C6943359', 'wikidata': 'https://www.wikidata.org/wiki/Q875276', 'display_name': 'Boolean satisfiability problem', 'level': 2, 'score': 0.4276236}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.38144207}, {'id': 'https://openalex.org/C33203268', 'wikidata': 'https://www.wikidata.org/wiki/Q5361594', 'display_name': 'Intermediate logic', 'level': 3, 'score': 0.26186442}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.24943599}, {'id': 'https://openalex.org/C102993220', 'wikidata': 'https://www.wikidata.org/wiki/Q387196', 'display_name': 'Description logic', 'level': 2, 'score': 0.2447933}, {'id': 'https://openalex.org/C80444323', 'wikidata': 'https://www.wikidata.org/wiki/Q2878974', 'display_name': 'Theoretical computer science', 'level': 1, 'score': 0.21537474}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.08163977}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 7, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1613/jair.3351', 'pdf_url': 'https://jair.org/index.php/jair/article/download/10697/25560', 'source': {'id': 'https://openalex.org/S139930977', 'display_name': 'Journal of Artificial Intelligence Research', 'issn_l': '1076-9757', 'issn': ['1076-9757', '1943-5037'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315760', 'host_organization_name': 'AI Access Foundation', 'host_organization_lineage': ['https://openalex.org/P4310315760'], 'host_organization_lineage_names': ['AI Access Foundation'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://hal.science/hal-00931221', 'pdf_url': 'https://hal.science/hal-00931221/document', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1401.3900', 'pdf_url': 'https://arxiv.org/pdf/1401.3900', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.science/hal-00931221/file/Aravantinos-Caferra-Peltier_JAIR_2011.pdf', 'pdf_url': 'https://hal.science/hal-00931221/file/Aravantinos-Caferra-Peltier_JAIR_2011.pdf', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00931221/file/Aravantinos-Caferra-Peltier_JAIR_2011.pdf', 'pdf_url': 'https://hal.archives-ouvertes.fr/hal-00931221/file/Aravantinos-Caferra-Peltier_JAIR_2011.pdf', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-00931221/document', 'pdf_url': 'https://hal.archives-ouvertes.fr/hal-00931221/document', 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1401.3900', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1613/jair.3351', 'pdf_url': 'https://jair.org/index.php/jair/article/download/10697/25560', 'source': {'id': 'https://openalex.org/S139930977', 'display_name': 'Journal of Artificial Intelligence Research', 'issn_l': '1076-9757', 'issn': ['1076-9757', '1943-5037'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315760', 'host_organization_name': 'AI Access Foundation', 'host_organization_lineage': ['https://openalex.org/P4310315760'], 'host_organization_lineage_names': ['AI Access Foundation'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [{'score': 0.47, 'display_name': 'Reduced inequalities', 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2095943001', 'https://openalex.org/W3099840946'], 'referenced_works_count': 47, 'referenced_works': ['https://openalex.org/W1482193060', 'https://openalex.org/W1494077623', 'https://openalex.org/W1499782681', 'https://openalex.org/W1533484773', 'https://openalex.org/W1536217426', 'https://openalex.org/W1537369428', 'https://openalex.org/W1541001066', 'https://openalex.org/W1542579875', 'https://openalex.org/W1556837122', 'https://openalex.org/W1563887142', 'https://openalex.org/W1566708570', 'https://openalex.org/W1575501012', 'https://openalex.org/W1590828018', 'https://openalex.org/W1590963539', 'https://openalex.org/W1600124086', 'https://openalex.org/W1949275316', 'https://openalex.org/W1969682671', 'https://openalex.org/W1975457422', 'https://openalex.org/W1975548675', 'https://openalex.org/W1979159285', 'https://openalex.org/W1990812879', 'https://openalex.org/W2000059300', 'https://openalex.org/W2011184850', 'https://openalex.org/W2013434344', 'https://openalex.org/W2033647831', 'https://openalex.org/W2033743662', 'https://openalex.org/W2036349213', 'https://openalex.org/W2043674238', 'https://openalex.org/W2057260173', 'https://openalex.org/W2057361103', 'https://openalex.org/W2059469479', 'https://openalex.org/W2078618964', 'https://openalex.org/W2081019971', 'https://openalex.org/W2095943001', 'https://openalex.org/W2097026217', 'https://openalex.org/W2105489972', 'https://openalex.org/W2120878557', 'https://openalex.org/W2140583545', 'https://openalex.org/W2181399240', 'https://openalex.org/W2504556025', 'https://openalex.org/W2736286271', 'https://openalex.org/W2897191384', 'https://openalex.org/W3023405642', 'https://openalex.org/W4237222677', 'https://openalex.org/W4252443779', 'https://openalex.org/W4297784104', 'https://openalex.org/W96866007'], 'related_works': ['https://openalex.org/W4300942089', 'https://openalex.org/W4298267346', 'https://openalex.org/W4251854500', 'https://openalex.org/W2990043628', 'https://openalex.org/W2951901777', 'https://openalex.org/W2364305935', 'https://openalex.org/W2009544487', 'https://openalex.org/W1987118140', 'https://openalex.org/W1975118984', 'https://openalex.org/W1838930226'], 'abstract_inverted_index': {'We': [0, 101], 'define': [1], 'a': [2, 42, 63, 74, 92, 123], 'logic': [3, 14], 'of': [4, 12, 46, 66, 95, 114], 'propositional': [5, 13, 99], 'formula': [6], 'schemata': [7, 67, 82, 121], 'adding': [8], 'to': [9, 32, 62, 86, 91], 'the': [10, 105], 'syntax': [11], 'indexed': [15], 'propositions': [16], 'and': [17, 76, 128], 'iterated': [18], 'connectives': [19], 'ranging': [20], 'over': [21], 'intervals': [22], 'parameterized': [23], 'by': [24, 60], 'arithmetic': [25], 'variables.': [26], 'The': [27], 'satisfiability': [28, 106], 'problem': [29, 53, 107], 'is': [30, 58], 'shown': [31], 'be': [33], 'undecidable': [34, 110], 'for': [35, 50, 70, 111], 'this': [36, 52, 115], 'new': [37], 'logic,': [38], 'but': [39], 'we': [40, 72], 'introduce': [41], 'very': [43], 'general': [44], 'class': [45, 65, 94], 'schemata,': [47], 'called': [48, 68], 'bound-linear,': [49], 'which': [51, 71], 'becomes': [54, 108], 'decidable.': [55], 'This': [56, 81], 'result': [57], 'obtained': [59], 'reduction': [61], 'particular': [64], 'regular,': [69], 'provide': [73], 'sound': [75], 'complete': [77], 'terminating': [78], 'proof': [79, 88], 'procedure.': [80], 'calculus': [83], 'allows': [84], 'one': [85], 'capture': [87], 'patterns': [89], 'corresponding': [90], 'large': [93], 'problems': [96], 'specified': [97], 'in': [98], 'logic.': [100], 'also': [102], 'show': [103], 'that': [104, 119], 'again': [109], 'slight': [112], 'extensions': [113], 'class,': [116], 'thus': [117], 'demonstrating': [118], 'bound-linear': [120], 'represent': [122], 'good': [124], 'compromise': [125], 'between': [126], 'expressivity': [127], 'decidability.': [129]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2095943001', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 5}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 4}, {'year': 2013, 'cited_by_count': 5}, {'year': 2012, 'cited_by_count': 2}], 'updated_date': '2024-09-15T11:39:08.779732', 'created_date': '2016-06-24'}