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<\/a><\/div>\n\n\n\nKurt G\u00f6del and Alan Turing<\/h2>\n\n\n\n
For IT decision-makers in the SAP environment, this requires a look at the history of mathematics\u2014specifically, Kurt G\u00f6del\u2019s first incompleteness theorem and Alan Turing\u2019s halting problem from the 1930s. These theorems irrefutably prove that a perfect \u201etruth machine\u201c is simply mathematically impossible.<\/p>\n\n\n\n
Applied to the inner workings of modern LLMs, this means that at every single stage of the processing workflow\u2014from the compilation of training data through intent classification and fact retrieval to the actual text generation \u2014there is a non-zero probability of error that cannot be eliminated through optimization.<\/p>\n\n\n\n
AI researchers and computer scientists have mathematically proven that no training database can ever be 100 percent complete. Even if the knowledge were present in the system, the LLM\u2014due to its probabilistic nature\u2014cannot guarantee that it will accurately extract the correct facts from a massive data fabric.<\/p>\n\n\n\n
The Retention Problem in Language Models: Ontology Failure<\/h2>\n\n\n\n
The situation is made even more critical by the undecidability of the halting problem, which has a full impact on LLMs. A language model can never predict a priori how many tokens it will generate or at what point its computation will come to a complete halt. Because the model does not know when its own text generation will end, the sequence of generated tokens is unpredictable in advance, which inevitably makes the system prone to producing self-contradictory, paradoxical, or simply false facts.<\/p>\n\n\n\n
Existing SAP customers must also understand that even downstream control mechanisms\u2014such as fact-checking or Retrieval-Augmented Generation (RAG), which are often touted as a panacea\u2014 can never completely eliminate structural hallucinations, since even these verification steps\u2014which involve a finite number of steps\u2014are not error-free.<\/p>\n\n\n\n
Transformation Strategy: SAP Autonomous Enterprise with an Error Rate Greater Than Zero<\/h2>\n\n\n\n
The implications of these findings for existing SAP customers are dramatic and shed light on the risks of SAP\u2019s current transformation strategy. If SAP plans to use Agentic AI to integrate hundreds of autonomous AI agents deep into the business-critical processes of S\/4 HANA or the Business Technology Platform (SAP BTP), then purely statistical, probabilistic models will be unleashed on highly sensitive, deterministic ERP tasks.<\/p>\n\n\n\n
When such AI makes autonomous decisions regarding supply chains, payroll, or year-end financial statements, an error rate greater than zero is not an acceptable compromise, but a business-critical risk. An error in a production SAP system has immediate business, financial, and legal consequences. IT decision-makers must therefore not be blinded by the rhetoric that ever-increasing computing power and ever-larger language models are the solution.<\/p>\n\n\n\n
SAP Performance Limits and the Laws of ERP<\/h2>\n\n\n\n
Scaling merely pushes the limits of performance; it does not override the mathematical laws of nature. Humans as the controlling authority\u2014the often-derided \u201ehuman in the loop\u201c\u2014are therefore not a bothersome, temporary stopgap on the path to perfect artificial intelligence, but rather a permanent, mathematical necessity for safeguarding corporate autonomy. Anyone who entrusts their ERP system to these hallucinating algorithms without any safeguards is ignoring nearly a century of fundamental computer science research.<\/p>\n\n\n\n
For SAP decision-makers, the conclusion is therefore that using generative LLMs for business-critical, strictly deterministic tasks is highly negligent. If an LLM\u2019s probability calculations are to determine whether or not a salary payment is made at the end of the month, the architectural dysfunctionality of this purely statistical approach becomes apparent.<\/p>\n\n\n\n
LLMs vs. Energy-Based Models<\/h2>\n\n\n\n
AI pioneers are therefore strongly advocating for research into alternative architectures, such as energy-based models, which seek logical consistency and physically feasible states rather than simply stringing words together. SAP itself has also had to respond to these limitations of traditional LLMs and has introduced specialized foundation models such as RPT-1, which is specifically trained on tabular relationships and circumvents the error-prone language-token paradigm when dealing with enterprise data.<\/p>\n\n\n\n
However, as long as traditional LLMs form the core of the new business AI strategy, every existing SAP customer must recognize\u2014through conceptual education\u2014that technical advances and computing power cannot overcome mathematical limitations; strict, deterministic governance outside the AI model\u2014acting as a control mechanism for these probabilistic black boxes\u2014therefore remains indispensable.<\/p>\n\n\n\n
Human in the Loop<\/h2>\n\n\n\n
There is no alternative to the \u201ehuman-in-the-loop\u201c approach. From a mathematical perspective, all technical mitigation strategies\u2014from RAG to RPT-1\u2014are revealed to be purely risk management measures that lower the probability of error but never reduce it to zero. Since hallucinations are based on the same theoretical impossibilities that Kurt G\u00f6del (incompleteness theorem) and Alan Turing (halting problem) proved for formal systems as early as the 1930s, there is no fully autonomous solution.<\/p>\n\n\n\n
For business-critical SAP processes in which Agentic AI is intended to independently trigger orders or initiate financial transactions in the future, the human as the final authority (Human in the Loop) is therefore not merely a cumbersome stopgap solution on the path to the perfect machine. Anyone making decisions in the SAP environment for which the company bears legal and financial liability must recognize that the validation of probabilistic AI results through deterministic rules and human expertise remains an inevitable, permanent, and mathematical necessity.<\/p>","protected":false},"excerpt":{"rendered":"
Anyone who analyzes SAP\u2019s promises regarding the \u201eAutonomous Enterprise,\u201c the Joule assistant, and autonomous AI agents with the necessary objectivity will inevitably come across a fundamental blind spot in the current AI strategy: hallucinations<\/p>","protected":false},"author":2,"featured_media":161236,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"pmpro_default_level":"","footnotes":""},"categories":[27840],"tags":[7675,44106,44395,39,44493,601,273,73,44486,647,65,369,624,43740,44492,42128,517,236],"coauthors":[27825],"class_list":["post-164579","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-chefredakteur-blog","tag-api","tag-bdc","tag-btp","tag-cloud","tag-datafabric","tag-digitalisierung","tag-dsag","tag-erp","tag-fable-5","tag-google","tag-hana","tag-it","tag-ki-joule","tag-llm","tag-loop","tag-open-source-3","tag-s4","tag-sap","pmpro-has-access"],"acf":[],"featured_image_urls_v2":{"full":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"thumbnail":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-150x150.jpeg",150,150,true],"medium":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-400x180.jpeg",400,180,true],"medium_large":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-768x346.jpeg",768,346,true],"large":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"image-100":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-100x45.jpeg",100,45,true],"image-480":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-480x216.jpeg",480,216,true],"image-640":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-640x288.jpeg",640,288,true],"image-720":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-720x324.jpeg",720,324,true],"image-960":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-960x432.jpeg",960,432,true],"image-1168":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"image-1440":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"image-1920":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"1536x1536":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"2048x2048":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"trp-custom-language-flag":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-18x8.jpeg",18,8,true],"bricks_large_16x9":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"bricks_large":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"bricks_large_square":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu.jpeg",1000,450,false],"bricks_medium":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-600x270.jpeg",600,270,true],"bricks_medium_square":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-600x450.jpeg",600,450,true],"profile_24":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-24x24.jpeg",24,24,true],"profile_48":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-48x48.jpeg",48,48,true],"profile_96":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-96x96.jpeg",96,96,true],"profile_150":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-150x150.jpeg",150,150,true],"profile_300":["https:\/\/e3mag.com\/wp-content\/uploads\/2026\/02\/Chefredakteur-neu-300x300.jpeg",300,300,true]},"post_excerpt_stackable_v2":"
Wer die Versprechen von SAP rund um das \u201eAutonomous Enterprise\u201c, den Assistenten Joule und autonome KI-Agenten mit der gebotenen Distanz analysiert, st\u00f6\u00dft unweigerlich auf einen fundamentalen blinden Fleck in der aktuellen KI-Strategie: Halluzinationen<\/p>\n","category_list_v2":"Chefredakteur-Blog<\/a>","author_info_v2":{"name":"Peter M. F\u00e4rbinger, E3 Magazine","url":"https:\/\/e3mag.com\/en\/author\/peter-m-faerbinger-e-3-magazin\/"},"comments_num_v2":"0 comments","_links":{"self":[{"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/posts\/164579","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/comments?post=164579"}],"version-history":[{"count":2,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/posts\/164579\/revisions"}],"predecessor-version":[{"id":164583,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/posts\/164579\/revisions\/164583"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/media\/161236"}],"wp:attachment":[{"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/media?parent=164579"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/categories?post=164579"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/tags?post=164579"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/e3mag.com\/en\/wp-json\/wp\/v2\/coauthors?post=164579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}