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authorMarcos Magueta <maguetamarcos@gmail.com>2026-07-12 00:35:33 -0300
committerMarcos Magueta <maguetamarcos@gmail.com>2026-07-12 00:35:33 -0300
commit7aacf596d73cc74eb9af381a72723b50b4069e30 (patch)
tree6970478e0866167285dc15820812b464407b75cb /docs/core-design-and-pipeline.org
parent6520b876af064d57bccf944a6fef9807a8c79de5 (diff)
downloadSOL-7aacf596d73cc74eb9af381a72723b50b4069e30.tar.gz
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symbolic discharge: universals over infinite domains decided by intervals
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1 files changed, 11 insertions, 6 deletions
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@@ -111,13 +111,18 @@ two of the ladder in decision 10:
with every measure position demanded ground at unfolding; self
recursion and mutual recursion are the same check;
- bounded enumeration through =Between=;
-- decidable negation and universals only over decidable quantifiers;
+- decidable negation and universals over decidable quantifiers;
- residuation: open membership returns as residual constraints
- instead of failing the plan.
-
-Not yet present: symbolic discharge (algebraic proof of universals
-over infinite domains), Rocq certificates as admission evidence, and
-active constraint propagation over residue. Each arrives as a
+ instead of failing the plan;
+- interval propagation over residue: contradictions fail, finite
+ integer ranges enumerate;
+- symbolic discharge, first fragment: universals over infinite
+ domains decided by kind inclusion and interval entailment, with
+ refutations backed by counterexamples.
+
+Not yet present: symbolic discharge beyond the interval fragment
+(algebraic identities of relations, arithmetic decrease measures)
+and Rocq certificates as admission evidence. Each arrives as a
strengthening of admission or planning; none changes the semantics
of what is already admitted.