Use substitutions for implementing defined functions (#6437)
This eliminates explicit tracking of defined functions, and instead makes define-fun add to preprocessing substitutions.
In other words, the effect of:
(define-fun f X t)
is to add f -> (lambda X t) to the set of substitutions known by the preprocessor. This is essentially the same as when
(= f (lambda X t)) was an equality solved by non-clausal simplification
The motivation for this change is both uniformity and for performance, as fewer traversals of the input formula.
In this PR:
define-fun are now conceptually higher-order equalities provided to smt::Assertions. These assertions are always added as substitutions instead of being pushed to AssertionPipeline.
Top-level substitutions are moved from PreprocessingContext to Env, since they must be accessed by Assertions. Proofs for this class are enabled dynamically during SmtEngine::finishInit.
The expandDefinitions preprocessing step is replaced by apply-substs. The process assertions module no longer needs access to expand definitions.
The proof manager does not require a special case of using the define-function maps.
Define-function maps are eliminated from SmtEngine.
Further work will reorganize the relationship between the expand definitions module and the rewriter, after which global calls to SmtEngine::expandDefinitions can be cleaned up. There is also further work necessary to better integrate theory expand definitions and top-level substitutions, which will be done on a followup PR.
25 files changed: