{"id":825511,"date":"2022-03-10T13:31:47","date_gmt":"2022-03-10T21:31:47","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-project&#038;p=825511"},"modified":"2022-03-11T14:10:24","modified_gmt":"2022-03-11T22:10:24","slug":"z3-3","status":"publish","type":"msr-project","link":"https:\/\/www.microsoft.com\/en-us\/research\/project\/z3-3\/","title":{"rendered":"Z3"},"content":{"rendered":"<section class=\"mb-3 moray-highlight\">\n\t<div class=\"card-img-overlay mx-lg-0\">\n\t\t<div class=\"card-background  has-background-catalina-blue card-background--inset-right\">\n\t\t\t\t\t<\/div>\n\t\t<!-- Foreground -->\n\t\t<div class=\"card-foreground d-flex mt-md-n5 my-lg-5 px-g px-lg-0\">\n\t\t\t<!-- Container -->\n\t\t\t<div class=\"container d-flex mt-md-n5 my-lg-5 align-self-center\">\n\t\t\t\t<!-- Card wrapper -->\n\t\t\t\t<div class=\"w-100 w-lg-col-5\">\n\t\t\t\t\t<!-- Card -->\n\t\t\t\t\t<div class=\"card material-md-card py-5 px-md-5\">\n\t\t\t\t\t\t<div class=\"card-body \">\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\n<h1 id=\"z3\">Z3<\/h1>\n\n\n\n<p>An efficient SMT solver<\/p>\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/section>\n\n\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"169\" src=\"https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-300x169.png\" alt=\"Z3 graphic - white background\" class=\"wp-image-825799\" srcset=\"https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-300x169.png 300w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-1024x576.png 1024w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-768x432.png 768w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-1066x600.png 1066w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-655x368.png 655w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-343x193.png 343w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-240x135.png 240w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-640x360.png 640w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-960x540.png 960w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788-1280x720.png 1280w, https:\/\/www.microsoft.com\/en-us\/research\/uploads\/prod\/2022\/03\/Z3_graphic_1400x788.png 1400w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<p>Z3 is an efficient Satisfiability Modulo Theories (SMT) solver from Microsoft Research. Z3 is a solver for symbolic logic, a foundation for many software engineering tools. SMT solvers rely on a tight integration of specialized engines of proof. Each engine owns a piece of the global puzzle and implements specialized algorithms. For example, Z3\u2019s engine for arithmetic integrates Simplex, cuts and polynomial reasoning, while an engine for strings are regular expressions integrate methods for symbolic derivatives of regular languages. A theme shared among many of the algorithms is how they exploit a duality between finding satisfying solutions and finding refutation proofs. The solver also integrates engines for global and local inferences and global propagation. Z3 is used in a wide range of software engineering applications, ranging from program verification, compiler validation, testing, fuzzing using dynamic symbolic execution, model-based software development, network verification, and optimization.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-fill-github\"><a data-bi-type=\"button\" class=\"wp-block-button__link\" href=\"https:\/\/github.com\/z3prover\/z3.git\" target=\"_blank\" rel=\"noreferrer noopener\">Download from GitHub<\/a><\/div>\n<\/div>\n\n\n","protected":false},"excerpt":{"rendered":"<p>An efficient SMT solver Z3 is an efficient Satisfiability Modulo Theories (SMT) solver from Microsoft Research. Z3 is a solver for symbolic logic, a foundation for many software engineering tools. SMT solvers rely on a tight integration of specialized engines of proof. Each engine owns a piece of the global puzzle and implements specialized algorithms. [&hellip;]<\/p>\n","protected":false},"featured_media":825799,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"footnotes":""},"research-area":[13560],"msr-locale":[268875],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-825511","msr-project","type-msr-project","status-publish","has-post-thumbnail","hentry","msr-research-area-programming-languages-software-engineering","msr-locale-en_us","msr-archive-status-active"],"msr_project_start":"2006-09-09","related-publications":[825739],"related-downloads":[489092],"related-videos":[],"related-groups":[],"related-events":[],"related-opportunities":[],"related-posts":[],"related-articles":[],"tab-content":[],"slides":[],"related-researchers":[{"type":"user_nicename","display_name":"Nikolaj Bj\u00f8rner","user_id":33067,"people_section":"Section name 0","alias":"nbjorner"},{"type":"user_nicename","display_name":"Lev Nachmanson","user_id":32653,"people_section":"Section name 0","alias":"levnach"}],"msr_research_lab":[199565],"msr_impact_theme":[],"_links":{"self":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-project\/825511"}],"collection":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-project"}],"about":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/types\/msr-project"}],"version-history":[{"count":5,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-project\/825511\/revisions"}],"predecessor-version":[{"id":866463,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-project\/825511\/revisions\/866463"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media\/825799"}],"wp:attachment":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media?parent=825511"}],"wp:term":[{"taxonomy":"msr-research-area","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/research-area?post=825511"},{"taxonomy":"msr-locale","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-locale?post=825511"},{"taxonomy":"msr-impact-theme","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-impact-theme?post=825511"},{"taxonomy":"msr-pillar","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-pillar?post=825511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}