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package root
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root
package provingground
This is work towards automated theorem proving based on learning, using homotopy type theory (HoTT) as foundations and natural language processing.
This is work towards automated theorem proving based on learning, using homotopy type theory (HoTT) as foundations and natural language processing.
The implementation of homotopy type theory is split into:
- the object HoTT with terms, types, functions and dependent functions, pairs etc
- the package induction with general inductive types and recursion/induction on these.
The learning package has the code for learning.
Scala code, including the spire library, is integrated with homotopy type theory in the scalahott package
We have implemented a functor based approach to translation in the translation package, used for nlp as well as serialization and parsing.
The library package is contains basic structures implemented in HoTT.
Definition Classes
root
package learning
Definition Classes
provingground
object HoTTMessages
Messages to be posted for autonomous/interactive running.
Messages to be posted for autonomous/interactive running. These can be posted by a user, rule-based bot or a deep-learning system; from the point of view of deep learning, these are moves.
Some messages are instructions for what to do next; some report results and some provide data for use in the future.
Some types like LocalProver, ExpressionEval, TermGenParams etc can be posted in their raw form.
Definition Classes
learning
AddVariable
BaseMixinLemmas
Cap
ChompResult
Consequence
ConsiderInductiveTypes
ConsiderTerms
Contradicted
Contradicts
Decided
EquationsCompleted
FailedToProve
FinalState
FromAll
FromAny
FunctionForGoal
GenerateTerms
GenerateTypes
GeneratedEquationNodes
HaltIf
InitState
Instance
IntermediateStatements
Lemmas
ModifyParams
NarrowOptimizeGenerators
OptimalInitial
OptimizeGenerators
ProofLambda
PropagateProof
Proved
ReasonBackward
RelatedStatements
RepresentationMap
ResolveGoal
SeekEventualCodomain
SeekGoal
SeekGoals
SeekInduction
SeekInstances
SeekLemmas
SpecialInitState
SplitFocus
TangentBaseCompleted
TangentBaseState
TangentLemmas
TangentWithTerm
TautologyInitState
TimeLimit
UseLemma
UseLemmaDistribution
UsedLemmas
Weight

o

provingground.learning.HoTTMessages

GenerateTerms

case object GenerateTerms extends Product with Serializable

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