Pub Date : 2023-04-20DOI: 10.1007/s10817-023-09668-0
Oliver Nash
{"title":"Engel’s Theorem in Mathlib","authors":"Oliver Nash","doi":"10.1007/s10817-023-09668-0","DOIUrl":"https://doi.org/10.1007/s10817-023-09668-0","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45475333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-01DOI: 10.1007/s10817-022-09647-x
Dominik Kirst, Marc Hermes
{"title":"Synthetic Undecidability and Incompleteness of First-Order Axiom Systems in Coq","authors":"Dominik Kirst, Marc Hermes","doi":"10.1007/s10817-022-09647-x","DOIUrl":"https://doi.org/10.1007/s10817-022-09647-x","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 1","pages":"1-31"},"PeriodicalIF":1.1,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41729951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-21DOI: 10.1007/s10817-022-09649-9
A. Bentkamp, J. Blanchette, Sophie Tourret, P. Vukmirović
{"title":"Superposition for Higher-Order Logic","authors":"A. Bentkamp, J. Blanchette, Sophie Tourret, P. Vukmirović","doi":"10.1007/s10817-022-09649-9","DOIUrl":"https://doi.org/10.1007/s10817-022-09649-9","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 1","pages":"1-54"},"PeriodicalIF":1.1,"publicationDate":"2023-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46720640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-13DOI: 10.1007/s10817-022-09651-1
Richard Schmoetten, Jake E. Palmer, Jacques D. Fleuriot
{"title":"Correction: Towards Formalising Schutz’ Axioms for Minkowski Spacetime in Isabelle/HOL","authors":"Richard Schmoetten, Jake E. Palmer, Jacques D. Fleuriot","doi":"10.1007/s10817-022-09651-1","DOIUrl":"https://doi.org/10.1007/s10817-022-09651-1","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 1","pages":"1"},"PeriodicalIF":1.1,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48124365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-12DOI: 10.1007/s10817-022-09657-9
Alvaro Velasquez, Ismail R. Alkhouri, K. Subramani, P. Wojciechowski, George K. Atia
{"title":"Optimal Deterministic Controller Synthesis from Steady-State Distributions","authors":"Alvaro Velasquez, Ismail R. Alkhouri, K. Subramani, P. Wojciechowski, George K. Atia","doi":"10.1007/s10817-022-09657-9","DOIUrl":"https://doi.org/10.1007/s10817-022-09657-9","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 1","pages":"1-26"},"PeriodicalIF":1.1,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43222449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-11DOI: 10.1007/s10817-022-09656-w
M. P. Bonacina, S. Winkler
{"title":"Semantically-Guided Goal-Sensitive Reasoning: Decision Procedures and the Koala Prover","authors":"M. P. Bonacina, S. Winkler","doi":"10.1007/s10817-022-09656-w","DOIUrl":"https://doi.org/10.1007/s10817-022-09656-w","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 1","pages":"1-42"},"PeriodicalIF":1.1,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47793139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-10DOI: 10.1007/s10817-022-09652-0
P. Quaresma, Pierluigi Graziani
{"title":"Measuring the Readability of Geometric Proofs: The Area Method Case","authors":"P. Quaresma, Pierluigi Graziani","doi":"10.1007/s10817-022-09652-0","DOIUrl":"https://doi.org/10.1007/s10817-022-09652-0","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 1","pages":"1-21"},"PeriodicalIF":1.1,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45483701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-07DOI: 10.1007/s10817-022-09654-y
Qinshi Wang, A. Appel
{"title":"A Solver for Arrays with Concatenation","authors":"Qinshi Wang, A. Appel","doi":"10.1007/s10817-022-09654-y","DOIUrl":"https://doi.org/10.1007/s10817-022-09654-y","url":null,"abstract":"","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":" ","pages":"1-31"},"PeriodicalIF":1.1,"publicationDate":"2023-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43588948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01Epub Date: 2023-05-25DOI: 10.1007/s10817-023-09663-5
Cezary Kaliszyk, Karol Pąk
The Isabelle Higher-order Tarski-Grothendieck object logic includes in its foundations both higher-order logic and set theory, which allows importing the libraries of Isabelle/HOL and Isabelle/Mizar. The two libraries, however, define all the basic concepts independently, which means that the results in the two are disconnected. In this paper, we align significant parts of these two libraries, by defining isomorphisms between their concepts, including the real numbers and algebraic structures. The isomorphisms allow us to transport theorems between the foundations and use the results from the libraries simultaneously.
{"title":"Combining Higher-Order Logic with Set Theory Formalizations.","authors":"Cezary Kaliszyk, Karol Pąk","doi":"10.1007/s10817-023-09663-5","DOIUrl":"10.1007/s10817-023-09663-5","url":null,"abstract":"<p><p>The Isabelle Higher-order Tarski-Grothendieck object logic includes in its foundations both higher-order logic and set theory, which allows importing the libraries of Isabelle/HOL and Isabelle/Mizar. The two libraries, however, define all the basic concepts independently, which means that the results in the two are disconnected. In this paper, we align significant parts of these two libraries, by defining isomorphisms between their concepts, including the real numbers and algebraic structures. The isomorphisms allow us to transport theorems between the foundations and use the results from the libraries simultaneously.</p>","PeriodicalId":15082,"journal":{"name":"Journal of Automated Reasoning","volume":"67 2","pages":"20"},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10209288/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9545317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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