[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-85695-en":3,"doc-seo-85695-105":29,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":13,"seo_description":14,"update_tm":27,"read_time":28},85695,137441390410,"Hazel","https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984",8,"Research & Report","Replicating Belief, Not Bits: Epistemic State Replication for Agentic Systems","Classical State Machine Replication (SMR) requires deterministic, bitwise-identical replica states, which breaks down in agentic distributed systems driven by stochastic, generative model reasoning. Replicas may diverge in token boundaries and summaries while still producing semantically equivalent, correct operational decisions; enforcing byte-level agreement harms flexibility and can degrade performance. The document proposes Epistemic State Replication (ESR), formalizing epistemic node state as evidence log and evolving belief lineage, plus Semantic Linearizability and Bounded Eventual Coherence to ensure safety and controlled divergence, alongside verifiable semantic rollback and epistemic delta propagation.","Replicating Belief, Not Bits: Epistemic State Replication for Agentic  \nSystems  \nJun He [OpenKedge.io](OpenKedge.io)  \nDeying Yu [OpenKedge.io](OpenKedge.io)  \narXiv :2607 .09748v 1 [ cs .AI] 3 Jul 2026  \nAbstract  \nIn distributed systems, the classical State Machine Replication (SMR) model assumes that correct replicas execute deterministic transitions to yield identical bitwise states. However, the rise of agentic distributed systems—where autonomous, stochastic, and model-driven agents orchestrate infrastructure—presents scenarios where deterministic, bitwise replication is insufficient. Replicas operating with generative models may exhibit divergent reasoning paths, summaries, and token boundaries, yet reach semantically equivalent and correct operational decisions. Forcing bitwise agreement across these stochastic participants degrades execution flexibility, induces context amnesia, and limits performance.  \nWe argue that in such settings replicas should agree on belief, not bits. We propose Epistemic State Replication (ESR), a belief-replication layer for agentic distributed systems that shifts the replication boundary from data visibility to knowledge visibility. We formalize the epistemic node state as a pair K = (L, B) separating the deterministic, immutable evidence log (L) from the stochastic, evolving belief lineage (B) . To govern execution safety, we define Semantic Linearizability, which requires operations to reflect the latest committed operational meaning within a verifier-bounded semantic compatibility metric, and Bounded Eventual Coherence, which bounds expected semantic divergence under fair delivery, monotonic evidence, bounded verifier disturbance, and a contractive graft operator. We outline protocols for propagating derived insights using structured epistemic deltas, and formalize Verifiable Semantic Rollbacksto prune faulty premises from belief lineages without inducing context amnesia. We prototype ESR and report preliminary simulation results that show feasibility under the stated assumptions and illustrate reductionsin secondary cognitive faults.  \n1 Introduction  \nDistributed systems have historically operated under a deterministic consensus model. In the classical State Machine Replication (SMR) paradigm [1], a set of replicas achieves reliability by starting from identical initial states and executing the same sequence of deterministic state transitions. This model relies on a fundamental axiom: correct participants execute identical code to produce identical bitwise states. Formally, for two correct replicas A and B, their states at any logical step t must satisfy a strict byte-level equality:  \nSA (t) = SB (t) . (1)  \nThis deterministic axiom has formed the basis of classical distributed systems, from consensus protocols like Paxosand Raft [2] to distributed databases and transaction managers [3] .  \nHowever, the integration of large language models (LLMs) and autonomous reasoning agents into cloud control planes, software delivery pipelines, and critical infrastructure presents scenarios where deterministic, bitwise replication is insufficient [4] . Replicas operating with generative models may exhibit divergent reasoning paths, summaries, and token boundaries, yet reach semantically equivalent and correct operational decisions. Forcing bitwise state agreement (SA = SB ) across these stochastic replicas is computationally impractical and semantically restrictive. Generative models operate over large token spaces where minor variations in phrasing, summary structures, or token boundaries do not alter the underlying operational intent. If a replication layer rejects transitions that are not bitwise identical, it destroys the cognitive diversity and reasoning flexibility of the participant group, triggering execution stalls. Conversely, if the system allows replicas to drift without any consistency bounds, it risks severe coordination failures.  \nAt the same time, existing agentic frameworks ma","cbCaitcZyVLbppri","https://ap.wps.com/l/cbCaitcZyVLbppri","pdf",547326,1,16,"English","en",105,"# Abstract\n# Introduction\n## Classical SMR and its bitwise axiom\n## Challenges from LLM-driven agents\n## Memory failures: rollback vs context amnesia\n## Proposed ESR: belief replication layer\n## Formal correctness conditions for ESR","[{\"question\":\"Why is classical SMR (bitwise state replication) insufficient for agentic systems?\",\"answer\":\"Because replicas using generative models can follow different stochastic reasoning paths and produce different token-level or summary-level representations while still making semantically equivalent correct decisions. Enforcing bitwise agreement would be computationally impractical and overly restrictive.\"},{\"question\":\"What is the central idea of Epistemic State Replication (ESR)?\",\"answer\":\"ESR shifts the replication boundary from data visibility to knowledge visibility, replicating operational belief meaning rather than token sequences or prompt buffers. Replicas agree on what actions and decisions mean, not on identical bits.\"},{\"question\":\"How does ESR ensure execution safety when replica beliefs may diverge?\",\"answer\":\"It defines Semantic Linearizability and Bounded Eventual Coherence, using verifier-bounded semantic compatibility to relate committed operational meaning and bounding expected semantic divergence under fair delivery, monotonic evidence, bounded verifier disturbance, and a contractive graft operator.\"}]",1784205648,40,{"code":4,"msg":30,"data":31},"ok",{"site_id":24,"language":23,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":27},"replicating-belief-not-bits-epistemic-state-replication-for-agentic-systems","",{"@graph":35,"@context":85},[36,53,68],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,47,50],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":46},"https://docshare.wps.com/document/","Document",2,{"item":48,"name":12,"@type":42,"position":49},"https://docshare.wps.com/document/research-report/",3,{"item":51,"name":13,"@type":42,"position":52},"https://docshare.wps.com/document/replicating-belief-not-bits-epistemic-state-replication-for-agentic-systems/85695/",4,{"url":51,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":40,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-17","2026-07-16",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"Why is classical SMR (bitwise state replication) insufficient for agentic systems?","Question",{"text":75,"@type":76},"Because replicas using generative models can follow different stochastic reasoning paths and produce different token-level or summary-level representations while still making semantically equivalent correct decisions. Enforcing bitwise agreement would be computationally impractical and overly restrictive.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"What is the central idea of Epistemic State Replication (ESR)?",{"text":80,"@type":76},"ESR shifts the replication boundary from data visibility to knowledge visibility, replicating operational belief meaning rather than token sequences or prompt buffers. Replicas agree on what actions and decisions mean, not on identical bits.",{"name":82,"@type":73,"acceptedAnswer":83},"How does ESR ensure execution safety when replica beliefs may diverge?",{"text":84,"@type":76},"It defines Semantic Linearizability and Bounded Eventual Coherence, using verifier-bounded semantic compatibility to relate committed operational meaning and bounding expected semantic divergence under fair delivery, monotonic evidence, bounded verifier disturbance, and a contractive graft operator.","https://schema.org",{"og:url":51,"og:type":87,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":89,"canonical":51},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":92},[93,97,101,105,110,115,119,122,127,130,134],{"id":20,"doc_module":4,"doc_module_name":45,"category_name":94,"show_sort_weight":95,"slug":96},"Story & Novel",90,"story-novel",{"id":46,"doc_module":4,"doc_module_name":45,"category_name":98,"show_sort_weight":99,"slug":100},"Literature",80,"literature",{"id":52,"doc_module":4,"doc_module_name":45,"category_name":102,"show_sort_weight":103,"slug":104},"Exam",70,"exam",{"id":106,"doc_module":4,"doc_module_name":45,"category_name":107,"show_sort_weight":108,"slug":109},5,"Comic",60,"comic",{"id":111,"doc_module":4,"doc_module_name":45,"category_name":112,"show_sort_weight":113,"slug":114},6,"Technology",50,"technology",{"id":116,"doc_module":4,"doc_module_name":45,"category_name":117,"show_sort_weight":28,"slug":118},7,"Healthcare","healthcare",{"id":11,"doc_module":4,"doc_module_name":45,"category_name":12,"show_sort_weight":120,"slug":121},30,"research-report",{"id":123,"doc_module":4,"doc_module_name":45,"category_name":124,"show_sort_weight":125,"slug":126},9,"Religion & Spirituality",20,"religion-spirituality",{"id":125,"doc_module":4,"doc_module_name":45,"category_name":128,"show_sort_weight":125,"slug":129},"World Cup","world-cup",{"id":131,"doc_module":4,"doc_module_name":45,"category_name":132,"show_sort_weight":131,"slug":133},10,"Lifestyle","lifestyle",{"id":135,"doc_module":4,"doc_module_name":45,"category_name":136,"show_sort_weight":106,"slug":137},19,"General","general"]