[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-84721-en":3,"doc-seo-84721-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":13,"seo_description":14,"update_tm":28,"read_time":29},84721,549758252649,"Ivy","https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819",8,"Research & Report","LogicProof Interactive Web-Based Educational Theorem Prover","LogicProof is an interactive web-based educational theorem prover created to support learning of formal proof construction. The system provides natural deduction and sequent calculus for propositional and first-order logic in both classical and constructive variants. Real-time validation and interactive visualization of proof trees deliver immediate feedback, reducing reliance on error discovery after submission. A study with 35 students indicates improved understanding, faster iteration, easier error correction, and higher confidence compared with pen-and-paper methods.","arXiv :2607 .0432 1v 1 [ cs .LO] 5 Jul 2026  \nLogicProof: An Interactive Web-Based Educational Theorem Prover for Natural Deduction and Sequent Calculus across Classical and Constructive Logics  \nJán Perháč 1 \\# Ñ  \nDepartment of Computers and Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovak Republic  \nVasyl Khashcha \\# Ñ  \nDepartment of Computers and Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovak Republic  \nSamuel Novotný \\# Ñ  \nDepartment of Computers and Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovak Republic  \n~~ Abstract ~~  \nWe present LogicProof, an interactive web-based theorem prover designed for educational use. The system supports natural deduction and sequent calculus for propositional and first-order logic in both classical and constructive variants. It emphasizes a modern user experience through real-time feedback and interactive visualization of proof trees. We evaluated LogicProof in a study involving 35 students. The results suggest that the system improves understanding of formal proof construction and supports student engagement with logical concepts. Compared to traditional pen-and-paper approaches, students reported faster iteration, easier error correction, and greater confidence in the correctness of their solutions. These findings indicate that LogicProof can serve as a practical supplement to existing teaching methods, particularly in supporting the learning process and reducing barriers associated with formal proof construction.  \n2012 ACM Subject Classification Theory of computation → Logic → Proof theory, Theory of computation → Logic → Type theory, Applied computing → Education → Interactive learning environments  \nKeywords and phrases Natural deduction, Sequent calculus, Interactive theorem proving, Gentzen system, Proof assistants, Web application, Formal proofs, Teaching tool, Educational tools.  \nDigital Object Identifier 10.4230/LIPIcs.TEAL.2026.23  \nFunding This research was supported by the Cultural and Educational Grant Agency (KEGA) under project No. 052TUKE-4/2025, \"Modern Approaches in Educating IT Professionals in the Field of Type Theory\".  \n 1  Introduction  \nThe traditional teaching approach based on manual problem-solving tasks on paper has notable limitations, most importantly the absence of immediate feedback. When students construct proofs on paper, they often recognize logical errors only after evaluation, which slows down the learning process.  \nExisting professional software solutions address this issue only partially Full-scale Interactive Theorem Provers (ITPs), such as Rocq (Coq) or Lean are highly expressive and  \n1 Corresponding author  \n© Jane Open Access and Joan R. Public;  \nlicensed under Creative Commons License CC-BY 4.0 Tools for Educational Activities in Logic (TEAL 2026) .  \nEditors: John Q. Open and Joan R. Access; Article No. 23; pp. 23:1–23:13  \nLeibniz International Proceedings in Informatics  \n Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl Publishing, Germany  \n23:2 LogicProof: An Interactive Web-Based Educational Theorem Prover ...  \npowerful but come with a steep learning curve that can overwhelm beginners.  \nOn the other hand, many existing educational tools, such as Natural Deduction Proof Generator & Checker [17] and Natural Deduction Tool [24], often behave like a simple\" calculator\": they produce a proof as output from a given input formula without explaining the intermediate steps.  \nOther tools are often built on top of full-scale proof assistants, such as Rocq Game  \n[6], ProofBuddy, or Lean Natural Number Game [3] . They introduce more a user friendly environment, or gamified approaches. Nevertheless, these solutions still inherit many of the underlying complexities of the original systems.  \nAnother","cbCainhTtZ03hSWj","https://ap.wps.com/l/cbCainhTtZ03hSWj","pdf",893305,2,1,13,"English","en",105,"# Introduction\n## Motivation and limitations of existing tools\n## Design and core philosophy of LogicProof\n## Educational objectives and implementation","[{\"question\":\"What logics and proof systems does LogicProof support?\",\"answer\":\"LogicProof supports natural deduction and sequent calculus for propositional and first-order logic, covering both classical and constructive variants.\"},{\"question\":\"How does LogicProof improve the learning experience compared with pen-and-paper proofing?\",\"answer\":\"It provides real-time step-by-step validation and interactive proof-tree visualization, enabling faster iteration, easier error correction, and greater confidence.\"},{\"question\":\"What were the outcomes from the evaluation study mentioned in the document?\",\"answer\":\"A study with 35 students suggests LogicProof improves understanding of formal proof construction and increases student engagement with logical 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logics and proof systems does LogicProof support?","Question",{"text":75,"@type":76},"LogicProof supports natural deduction and sequent calculus for propositional and first-order logic, covering both classical and constructive variants.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"How does LogicProof improve the learning experience compared with pen-and-paper proofing?",{"text":80,"@type":76},"It provides real-time step-by-step validation and interactive proof-tree visualization, enabling faster iteration, easier error correction, and greater confidence.",{"name":82,"@type":73,"acceptedAnswer":83},"What were the outcomes from the evaluation study mentioned in the document?",{"text":84,"@type":76},"A study with 35 students suggests LogicProof improves understanding of formal proof construction and increases student engagement with logical 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