#F counting
A counting problem that determines the number of assignments that make a logical formula true. It belongs to the #P complexity class and is a generalization of #SAT, usable for quantifying the scale of failure paths.
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SharpLogic is an open-source project that encodes multi-agent routing and retries as k-CNF and uses a Rust kernel to count the number of deadlock and failure paths (#F counting), for use as a pre-release gate check.
#F counting counts the number of assignments that make the formula true, belonging to the counting problems in the #P complexity class (a generalization of #SAT); in the SharpLogic context, each assignment corresponds to a combination of conditions in the graph, and the counting result reflects the number of failure paths or deadlock combinations.
SharpLogic's k-CNF encoding and #F counting can cover the finite state space of routing and retry logic, provided the graph is modeled correctly; if agent behavior depends on non-enumerable external states (such as open-ended text returned by tools), the formal model can only handle them abstractly, possibly producing false positives or false negatives.
All Facts (3)
SharpLogic is an open-source project that encodes multi-agent routing and retries as k-CNF and uses a Rust kernel to count the number of deadlock and failure paths (#F counting), for use as a pre-release gate check.
50%Unverified#F counting counts the number of assignments that make the formula true, belonging to the counting problems in the #P complexity class (a generalization of #SAT); in the SharpLogic context, each assignment corresponds to a combination of conditions in the graph, and the counting result reflects the number of failure paths or deadlock combinations.
50%UnverifiedSharpLogic's k-CNF encoding and #F counting can cover the finite state space of routing and retry logic, provided the graph is modeled correctly; if agent behavior depends on non-enumerable external states (such as open-ended text returned by tools), the formal model can only handle them abstractly, possibly producing false positives or false negatives.
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