Editing Automated theorem proving (section)

== Applications ==
Commercial use of automated theorem proving is mostly concentrated in [[integrated circuit design]] and verification. Since the [[Pentium FDIV bug]], the complicated [[floating point unit]]s of modern microprocessors have been designed with extra scrutiny. [[AMD]], [[Intel]] and others use automated theorem proving to verify that division and other operations are correctly implemented in their processors.<ref>{{Citation |last=Goel |first=Shilpi |title=Microprocessor Assurance and the Role of Theorem Proving |date=2022 |work=Handbook of Computer Architecture |pages=1–43 |editor-last=Chattopadhyay |editor-first=Anupam |url=https://link.springer.com/10.1007/978-981-15-6401-7_38-1 |access-date=2024-02-10 |place=Singapore |publisher=Springer Nature Singapore |language=en |doi=10.1007/978-981-15-6401-7_38-1 |isbn=978-981-15-6401-7 |last2=Ray |first2=Sandip}}</ref>

Other uses of theorem provers include [[program synthesis]], constructing programs that satisfy a [[formal specification]].<ref>{{cite book |last1=Basin |first1=D. |title=Program Development in Computational Logic |last2=Deville |first2=Y. |last3=Flener |first3=P. |last4=Hamfelt |first4=A. |last5=Fischer Nilsson |first5=J. |publisher=Springer |year=2004 |editor=M. Bruynooghe and K.-K. Lau |series=LNCS |volume=3049 |pages=30&ndash;65 |chapter=Synthesis of programs in computational logic |citeseerx=10.1.1.62.4976}}</ref> Automated theorem provers have been integrated with [[Proof assistant|proof assistants]], including [[Isabelle (proof assistant)|Isabelle/HOL]].<ref>{{Cite journal |last1=Meng |first1=Jia |last2=Paulson |first2=Lawrence C. |date=2008-01-01 |title=Translating Higher-Order Clauses to First-Order Clauses |url=https://doi.org/10.1007/s10817-007-9085-y |journal=Journal of Automated Reasoning |language=en |volume=40 |issue=1 |pages=35–60 |doi=10.1007/s10817-007-9085-y |issn=1573-0670 |s2cid=7716709}}</ref>

Applications of theorem provers are also found in [[natural language processing]] and [[formal semantics (natural language)|formal semantics]], where they are used to analyze [[Discourse representation theory|discourse representations]].<ref>Bos, Johan. [https://aclanthology.org/W08-2222.pdf "Wide-coverage semantic analysis with boxer."] Semantics in text processing. step 2008 conference proceedings. 2008.</ref><ref>Muskens, Reinhard. [https://philarchive.org/archive/MUSCMS "Combining Montague semantics and discourse representation."] Linguistics and philosophy (1996): 143-186.</ref>