Init.Grind.Tactics

trace : Bool
If trace is true, grind records used E-matching theorems and case-splits.
splits : Nat
Maximum number of case-splits in a proof search branch. It does not include splits performed during normalization.
ematch : Nat
Maximum number of E-matching (aka heuristic theorem instantiation) rounds before each case split.
gen : Nat
Maximum term generation. The input goal terms have generation 0. When we instantiate a theorem using a term from generation n, the new terms have generation n+1. Thus, this parameter limits the length of an instantiation chain.
instances : Nat
Maximum number of theorem instances generated using E-matching in a proof search tree branch.
matchEqs : Bool
If matchEqs is true, grind uses match-equations as E-matching theorems.
splitMatch : Bool
If splitMatch is true, grind performs case-splitting on match-expressions during the search.
splitIte : Bool
If splitIte is true, grind performs case-splitting on if-then-else expressions during the search.
splitIndPred : Bool
If splitIndPred is true, grind performs case-splitting on inductive predicates. Otherwise, it performs case-splitting only on types marked with [grind cases] attribute.
splitImp : Bool
If splitImp is true, then given an implication p → q or (h : p) → q h, grind splits on p if the implication is true. Otherwise, it will split only if p is an arithmetic predicate.
failures : Nat
By default, grind halts as soon as it encounters a sub-goal where no further progress can be made.
canonHeartbeats : Nat
Maximum number of heartbeats (in thousands) the canonicalizer can spend per definitional equality test.
ext : Bool
If ext is true, grind uses extensionality theorems that have been marked with [grind ext].
extAll : Bool
If extAll is true, grind uses any extensionality theorems available in the environment.
funext : Bool
If funext is true, grind creates new opportunities for applying function extensionality by case-splitting on equalities between lambda expressions.
lookahead : Bool
TODO
verbose : Bool
If verbose is false, additional diagnostics information is not collected.
clean : Bool
If clean is true, grind uses expose_names and only generates accessible names.
qlia : Bool
If qlia is true, grind may generate counterexamples for integer constraints using rational numbers, and ignoring divisibility constraints. This approach is cheaper but incomplete.
mbtc : Bool
If mbtc is true, grind will use model-based theory commbination for creating new case splits. See paper "Model-based Theory Combination" for details.
zetaDelta : Bool
When set to true (default: true), local definitions are unfolded during normalization and internalization. In other words, given a local context with an entry x : t := e, the free variable x is reduced to e. Note that this behavior is also available in simp, but there its default is false because simp is not always used as a terminal tactic, and it important to preserve the abstractions introduced by users. Additionally, in grind we observed that zetaDelta is particularly important when combined with function induction. In such scenarios, the same let-expressions can be introduced by function induction and also by unfolding the corresponding definition. We want to avoid a situation in which zetaDelta is not applied to let-declarations introduced by function induction while zeta unfolds the definition, causing a mismatch. Finally, note that congruence closure is less effective on terms containing many binders such as lambda and let expressions.
zeta : Bool
When true (default: true), performs zeta reduction of let expressions during normalization. That is, let x := v; e[x] reduces to e[v]. See also zetaDelta.
ring : Bool
When true (default: false), uses procedure for handling equalities over commutative rings.
ringSteps : Nat
ringNull : Bool
When true (default: false), the commutative ring procedure in grind constructs stepwise proof terms, instead of a single-step Nullstellensatz certificate