{"product_id":"category-theory-for-software-diagnostics-dmitry-vostokov-9781919135014","title":"Category Theory for Software Diagnostics, Observability, and Debugging: Applied Category Theory for Runtime Evidence, Invariants, and Root-Cause Analy","description":"\u003cp\u003eThis book is AI-synthesized from our published work, including bits and pieces of CT applied to software diagnostics and debugging from 10-15 years ago.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSoftware diagnostics usually involves analyzing and transforming several execution artifacts. We filter and join logs, reconstruct call stacks from memory dumps, compare traces, and combine observations from different tools. Such operations preserve some information and may discard relationships needed for diagnosis.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn this book, we develop an Applied Category Theory approach to software diagnostics, observability, and debugging. We consider software behavior, execution artifacts, analysis patterns, and diagnostic hypotheses as related structures. Categories, functors, natural transformations, presheaves, and sheaves help us describe these relationships and specify what should be preserved. For example, two different analysis paths may be expected to produce the same result. A discrepancy then becomes a diagnostic indicator that requires further investigation.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book develops our earlier work on pattern-oriented software diagnostics, Software Codiagnostics, and trace and log analysis patterns. We introduce the Categorical Invariant Violation analysis pattern and connect categorical constructions to practical checks for distributed systems, memory analysis, observability drift, and agentic AI workflows. Worked examples include the analysis of a real HTTP log artifact. We also consider diagnostic applications of toposes and explain the relationship between established mathematics and our proposed constructions.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSeparate appendices introduce the mathematical prerequisites and category theory, assuming only school mathematics, and review established categorical applications. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe book includes references, a glossary, and an index, and is intended for software developers, support engineers, SREs, software diagnosticians, and researchers.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Dmitry Vostokov\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1919135014\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781919135014\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Opentask\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/18\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 160\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.17lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.42d","brand":"Dmitry Vostokov","offers":[{"title":"Paperback","offer_id":50780041281791,"sku":"9781919135014","price":40.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5542cfc0-466e-4f44-b3b9-127ad952f20c.jpg?v=1792948881","url":"https:\/\/www.whiterainbookhouse.com\/products\/category-theory-for-software-diagnostics-dmitry-vostokov-9781919135014","provider":"WR Book House","version":"1.0","type":"link"}