Knowledge Representation for Mathematics
{'Code': '05020000', 'Directorate': {'Abbreviation': 'CSE', 'LongName': 'Direct For Computer & Info Scie & Enginr'}, 'Division': {'Abbreviation': 'IIS', 'LongName': 'Div Of Information & Intelligent Systems'}}
{'SignBlockName': 'Howard Moraff', 'PO_EMAI': None, 'PO_PHON': None}
New automatic theorem proving techniques are examined and evalu-                ated by foundationally verifying well known theorems in pure                    mathematics.  The investigator has already used object-oriented                 inference techniques to verify the Stone representation theorem                 for Boolean lattices from the axioms of set theory.  The new                    inference techniques are evaluated by measuring the amount of                   user-given detail needed to foundationally verify Bledsoe's ten                 challenge problems.  The inference techniques to be evaluated                   include new forward chaining constraint propagation techniques, a               forward chaining mechanism for mathematical induction, automated                focus control for object-oriented inference, and a sound mechan-                ism for verifying and applying user-defined algorithms.                                                                                                         Automatic reasoning is one of the central problems of artificial                intelligence, with potential for application in software and                    hardware verification, deductive data retrieval, online docu-                   mentation systems, and computer-aided instruction in mathematics                and the sciences.  This research seeks to establish that auto-                  matic inference can be used in practice and that progress is                    being made toward ever more effective methods.
{'FirstName': 'David', 'LastName': 'McAllester', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David McAllester', 'EmailAddress': 'mcallester@ttic.edu', 'NSF_ID': '000244254', 'StartDate': '09/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Massachusetts Institute of Technology', 'CityName': 'CAMBRIDGE', 'ZipCode': '021394301', 'PhoneNumber': '6172531000', 'StreetAddress': '77 MASSACHUSETTS AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'MA07', 'ORG_UEI_NUM': 'E2NYLCDML6V1', 'ORG_LGL_BUS_NAME': 'MASSACHUSETTS INSTITUTE OF TECHNOLOGY', 'ORG_PRNT_UEI_NUM': 'E2NYLCDML6V1'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '9145', 'Text': 'SPECIAL PROGRAMS-RESERVE'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8819624.xml'}