{"product_id":"a-graphic-apology-for-symmetry-and-implicitness","title":"A Graphic Apology for Symmetry and Implicitness","description":"\u003cp\u003eThe present book brings into focus the contrast between explicit and implicit algorithmic descriptions of objects. These themes are considered in a variety of settings, sometimes crossing traditional boundaries. Special emphasis is given to moderate complexity - exponential or polynomial - but objects with multi-exponential complexity also fit in.   Among the items under consideration are graphs, formal proofs, languages, automata, groups, circuits, some connections\n\u003cbr\u003ewith geometry of metric spaces, and complexity classes (P, NP, co-NP).\u003c\/p\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":46061133758702,"sku":"9780198507291","price":288.96,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9780198507291.jpg?v=1736527816","url":"https:\/\/bookland.com.au\/products\/a-graphic-apology-for-symmetry-and-implicitness","provider":"Book Land AU","version":"1.0","type":"link"}