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Grappling with Infinity in Constraint Solvers


How can we solve constraint-satisfaction problems that deal with infinite structure? This article is about Sentient, a programming language I wrote to solve tricky problems.

In these cases, it makes sense to start with small representations and progressively rule our search spaces of increasing size. If we run a Sentient program multiple times with different approximations, we can think of this as defining a walk or a path through this multi-dimensional space. Recursive functions could be identified through static analysis and an external program could decide how many calls are allowed for the current instance of the search.

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