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==Formal proof developments== {{expand section|date=October 2021}} The [[Standard ML#Implementations|CakeML]] project developed a formally proven compiler for ML.<ref>{{Cite web | url=https://cakeml.org/ |title = CakeML}}</ref> Previously, HOL was used to develop a formally proven [[Lisp (programming language)|Lisp]] implementation running on ARM, x86 and PowerPC.<ref>{{cite conference|author1=Magnus O. Myreen|author2=Michael J. C. Gordon|title=Verified LISP Implementations on ARM, x86 and PowerPC|conference=TPHOLs 2009|pages=359β374|url=https://www.cl.cam.ac.uk/~mom22/tphols09-lisp.pdf}}</ref> HOL was also used to formalize the [[semantics (computer science)|semantics]] of x86 multiprocessors<ref>{{cite journal|author1=Peter Sewell|author2=Susmit Sarkar|author3=Scott Owens|author4=Francesco Zappa Nardelli|author5=Magnus O. Myreen|title=x86-TSO: a rigorous and usable programmer's model for x86 multiprocessors|journal=[[Communications of the ACM]]|volume=53|issue=7|pages=89β97|year=2010|url=https://www.cl.cam.ac.uk/~pes20/weakmemory/cacm.pdf|doi=10.1145/1785414.1785443|s2cid=1999974}}</ref> as well as the [[machine code]] for [[Power ISA]] and [[ARM architecture|ARM]] architectures.<ref>{{cite conference|author1=Jade Alglave|author1-link=Jade Alglave|author2=Anthony C. J. Fox|author3=Samin Ishtiaq|author4=Magnus O. Myreen|author5=Susmit Sarkar|author6=Peter Sewell|author7=Francesco Zappa Nardelli|title=The Semantics of Power and ARM Multiprocessor Machine Code|conference=DAMP 2009|pages=13β24|url=http://www0.cs.ucl.ac.uk/staff/j.alglave/papers/damp09.pdf}}</ref>
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