{"id":1141099,"date":"2025-06-03T11:00:51","date_gmt":"2025-06-03T18:00:51","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=1141099"},"modified":"2025-12-12T11:13:05","modified_gmt":"2025-12-12T19:13:05","slug":"pulsecore-an-impredicative-concurrent-separation-logic-for-dependently-typed-programs","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/pulsecore-an-impredicative-concurrent-separation-logic-for-dependently-typed-programs\/","title":{"rendered":"PulseCore: An Impredicative Concurrent Separation Logic for Dependently Typed Programs"},"content":{"rendered":"<p>PulseCore is a new program logic suitable for intrinsic proofs of higher-order, stateful, concurrent, dependently typed programs. It provides many of the features of a modern, concurrent separation logic, including dynamically allocated impredicative invariants, higher-order ghost state, step-indexing with later credits, and support for user-defined ghost state constructions. PulseCore is developed foundationally within the F* programming language with fully mechanized proofs, and is applicable to F* programs itself.<\/p>\n<p>To evaluate our work, we use Pulse, a surface language within F* for PulseCore, to develop a range of program proofs. Illustrating its suitability for proving higher-order concurrent programs, we present a verified library for task pools in the style of OCaml5, together with some verified task-parallel programs. Next, we present various data structures and synchronization primitives, including a barrier that requires the use of higher-order ghost state. Finally, we present a verified implementation of the DICE Protection Environment, an industry standard secure boot protocol. Taken together, our evaluation consists of more than 31,000 lines of verified code in a range of settings, providing evidence that PulseCore is both highly expressive as well as practical for a variety of program proof applications.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>PulseCore is a new program logic suitable for intrinsic proofs of higher-order, stateful, concurrent, dependently typed programs. It provides many of the features of a modern, concurrent separation logic, including dynamically allocated impredicative invariants, higher-order ghost state, step-indexing with later credits, and support for user-defined ghost state constructions. PulseCore is developed foundationally within the F* 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