coq

API

Library btauto_plugin

• Btauto_plugin

Library cc_plugin

• Cc_plugin

Library coq-core.boot

• Boot

Library coq-core.clib

• CArray
• CEphemeron
• CList
• CMap
• CObj
• CSet
• CSig Missing pervasive types from OCaml stdlib
• CString
• CThread
• CUnix
• Diff2 An implementation of Eugene Myers' O(ND) Difference Algorithm[1]. This implementation is a port of util.lcs module of Gauche Scheme interpreter.
• Dyn Dynamically typed values
• Exninfo Additional information worn by exceptions.
• HMap
• Hashcons Generic hash-consing.
• Hashset Adapted from Damien Doligez, projet Para, INRIA Rocquencourt, OCaml stdlib.
• Heap Heaps
• IStream
• Int A native integer module with usual utility functions.
• Minisys Minisys regroups some code that used to be in System. Unlike System, this module has no dependency and could be used for initial compilation target such as coqdep_boot. The functions here are still available in System thanks to an include. For the signature, look at the top of system.mli
• Monad Combinators on monadic computations.
• NeList
• Option Module implementing basic combinators for OCaml option type. It tries follow closely the style of OCaml standard library.
• OrderedType
• Predicate Infinite sets over a chosen OrderedType.
• Range Skewed lists
• Segmenttree This module is a very simple implementation of "segment trees".
• Store
• Terminal
• Trie Generic functorized trie data structure.
• Unicode Unicode utilities
• Unicodetable Unicode tables generated using UUCD.
• Unionfind An imperative implementation of partitions via Union-Find

Library coq-core.config

• Coq_config

Library coq-core.engine

• EConstr
• Evar_kinds The kinds of existential variable
• Evarutil This module provides useful higher-level functions for evar manipulation.
• Evd This file defines the pervasive unification state used everywhere in Coq tactic engine. It is very low-level and most of the functions exported here are irrelevant to the standard API user. Consider using Evarutil, Sigma or Proofview instead.
• Ftactic This module defines potentially focussing tactics. They are used by Ltac to emulate the historical behaviour of always-focussed tactics while still allowing to remain global when the goal is not needed.
• Logic_monad This file implements the low-level monadic operations used by the tactic monad. The monad is divided into two layers: a non-logical layer which consists in operations which will not (or cannot) be backtracked in case of failure (input/output or persistent state) and a logical layer which handles backtracking, proof manipulation, and any other effect which needs to backtrack.
• Namegen This file features facilities to generate fresh names.
• Nameops Identifiers and names
• Proofview This files defines the basic mechanism of proofs: the proofview type is the state which tactics manipulate (a global state for existential variables, together with the list of goals), and the type 'a tactic is the (abstract) type of tactics modifying the proof state and returning a value of type 'a.
• Proofview_monad This file defines the datatypes used as internal states by the tactic monad, and specialises the Logic_monad to these types. It should not be used directly. Consider using Proofview instead.
• Termops This file defines various utilities for term manipulation that are not needed in the kernel.
• UState This file defines universe unification states which are part of evarmaps. Most of the API below is reexported in Evd. Consider using higher-level primitives when needed.
• UnivGen
• UnivMinim
• UnivNames Local universe name <-> level mapping
• UnivProblem
• UnivSubst

Library coq-core.gramlib

• Gramlib

Library coq-core.interp

• Constrexpr
• Constrexpr_ops Constrexpr_ops: utilities on constr_expr
• Constrextern Translation of pattern, cases pattern, glob_constr and term into syntax trees for printing
• Constrintern Translation from front abstract syntax of term to untyped terms (glob_constr)
• Decls
• Deprecation
• Dumpglob
• Genintern
• Impargs
• Implicit_quantifiers
• Modintern Module internalization errors
• Notation Notations
• Notation_ops
• Notation_term notation_constr
• NumTok Numbers in different forms: signed or unsigned, possibly with fractional part and exponent.
• Reserve
• Smartlocate locate_global_with_alias locates global reference possibly following a notation if this notation has a role of aliasing; raise Not_found if not bound in the global env; raise a UserError if bound to a syntactic def that does not denote a reference
• Stdarg Basic generic arguments.
• Syntax_def Syntactic definitions.

Library coq-core.kernel

• CClosure
• CPrimitives
• Constr This file defines the most important datatype of Coq, namely kernel terms, as well as a handful of generic manipulation functions.
• Context The modules defined below represent a local context as defined by Chapter 4 in the Reference Manual:
• Conv_oracle
• Cooking
• Declarations This module defines the internal representation of global declarations. This includes global constants/axioms, mutual inductive definitions, modules and module types
• Declareops Operations concerning types in Declarations : constant_body, mutual_inductive_body, module_body ...
• Entries This module defines the entry types for global declarations. This information is entered in the environments. This includes global constants/axioms, mutual inductive definitions, modules and module types
• Environ Unsafe environments. We define here a datatype for environments. Since typing is not yet defined, it is not possible to check the informations added in environments, and that is why we speak here of ``unsafe'' environments.
• Esubst Explicit substitutions
• Evar This module defines existential variables, which are isomorphic to int. Nonetheless, casting from an int to a variable is deemed unsafe, so that to keep track of such casts, one has to use the provided unsafe_of_int function.
• Float64
• Float64_common
• IndTyping
• Indtypes
• Inductive
• InferCumulativity
• Mod_subst
• Mod_typing Main functions for translating module entries
• Modops
• Names This file defines a lot of different notions of names used pervasively in the kernel as well as in other places. The essential datatypes exported by this API are:
• Nativecode This file defines the mllambda code generation phase of the native compiler. mllambda represents a fragment of ML, and can easily be printed to OCaml code.
• Nativeconv This module implements the conversion test by compiling to OCaml code
• Nativelambda
• Nativelib This file provides facilities to access OCaml compiler and dynamic linker, used by the native compiler.
• Nativelibrary This file implements separate compilation for libraries in the native compiler
• Nativevalues This modules defines the representation of values internally used by the native compiler. Be careful when removing apparently dead code from this interface, as it may be used by programs generated at runtime.
• Opaqueproof This module implements the handling of opaque proof terms. Opaque proof terms are special since:
• Parray
• Primred
• Reduction
• Relevanceops We can take advantage of non-cumulativity of SProp to avoid fully retyping terms when we just want to know if they inhabit some proof-irrelevant type.
• Retroknowledge
• Safe_typing
• Section Kernel implementation of sections.
• Sorts
• Subtyping
• Term
• Term_typing
• TransparentState
• Type_errors Type errors. \label{typeerrors}
• Typeops
• UGraph
• Uint63
• Univ
• Vars
• Vconv
• Vm Debug printing
• Vmbytecodes
• Vmbytegen
• Vmemitcodes
• Vmlambda
• Vmopcodes
• Vmsymtable
• Vmvalues Values

Library coq-core.lib

• AcyclicGraph Graphs representing strict orders
• Aux_file
• CAst
• CDebug
• CErrors This modules implements basic manipulations of errors for use throughout Coq's code.
• CProfile
• CWarnings
• Control Global control of Coq.
• CoqProject_file
• DAst Lazy AST node wrapper. Only used for glob_constr as of today.
• Envars This file provides a high-level interface to the environment variables needed by Coq to run (such as coqlib). The values of these variables may come from different sources (shell environment variables, command line options, options set at the time Coq was build).
• Explore
• Feedback
• Flags Global options of the system.
• Genarg Generic arguments used by the extension mechanisms of several Coq ASTs.
• Hook This module centralizes the notions of hooks. Hooks are pointers that are to be set at runtime exactly once.
• LStream Extending streams with a (non-canonical) location function
• Loc
• ObjFile
• Pp Coq document type.
• Pp_diff Computes the differences between 2 Pp's and adds additional tags to a Pp to highlight them. Strings are split into tokens using the Coq lexer, then the lists of tokens are diffed using the Myers algorithm. A fixup routine, shorten_diff_span, shortens the span of the diff result in some cases.
• Rtree
• Spawn
• Stateid
• System
• Util
• Xml_datatype

Library coq-core.library

• Coqlib Indirection between logical names and global references.
• Global This module defines the global environment of Coq. The functions below are exactly the same as the ones in Safe_typing, operating on that global environment. add_* functions perform name verification, i.e. check that the name given as argument match those provided by Safe_typing.
• Globnames
• Goptions This module manages customization parameters at the vernacular level
• Lib Lib: record of operations, backtrack, low-level sections
• Libnames
• Libobject Libobject declares persistent objects, given with methods:
• Nametab This module contains the tables for globalization.
• Summary This module registers the declaration of global tables, which will be kept in synchronization during the various backtracks of the system.

Library coq-core.parsing

• CLexer
• Extend Entry keys for constr notations
• G_constr
• G_prim
• Notation_gram
• Notgram_ops
• Pcoq The parser of Coq
• Tok The type of token for the Coq lexer and parser

Library coq-core.pretyping

• Arguments_renaming
• Cases
• Cbv
• Coercion
• Coercionops
• Constr_matching This module implements pattern-matching on terms
• Detyping
• Evarconv
• Evardefine
• Evarsolve
• Find_subterm Finding subterms, possibly up to some unification function, possibly at some given occurrences
• Geninterp Interpretation functions for generic arguments and interpreted Ltac values.
• GlobEnv Type of environment extended with naming and ltac interpretation data
• Glob_ops
• Glob_term Untyped intermediate terms
• Heads This module is about the computation of an approximation of the head symbol of defined constants and local definitions; it provides the function to compute the head symbols and a table to store the heads
• Indrec Errors related to recursors building
• Inductiveops The following three functions are similar to the ones defined in Inductive, but they expect an env
• Keys
• Locus Locus : positions in hypotheses and goals
• Locusops Utilities on or_var
• Ltac_pretype
• Nativenorm This module implements normalization by evaluation to OCaml code
• Pattern
• Patternops
• Pretype_errors
• Pretyping This file implements type inference. It maps glob_constr (i.e. untyped terms whose names are located) to constr. In particular, it drives complex pattern-matching problems ("match") into elementary ones, insertion of coercions and resolution of implicit arguments.
• Program A bunch of Coq constants used by Program
• Reductionops Reduction Functions.
• Retyping This family of functions assumes its constr argument is known to be well-typable. It does not type-check, just recompute the type without any costly verifications. On non well-typable terms, it either produces a wrong result or raise an anomaly. Use with care. It doesn't handle predicative universes too.
• Structures
• Tacred
• Typeclasses
• Typeclasses_errors
• Typing This module provides the typing machine with existential variables and universes.
• Unification
• Vnorm

Library coq-core.printing

• Genprint Entry point for generic printers
• Ppconstr This module implements pretty-printers for constr_expr syntactic objects and their subcomponents.
• Ppextend
• Pputils
• Printer These are the entry points for printing terms, context, tac, ...
• Proof_diffs

Library coq-core.proofs

• Clenv This file defines clausenv, which is a deprecated way to handle open terms in the proof engine. Most of the API here is legacy except for the evar-based clauses.
• Evar_refiner Refinement of existential variables.
• Goal This module implements the abstract interface to goals. Most of the code here is useless and should be eventually removed. Consider using Proofview.Goal instead.
• Goal_select
• Logic Legacy proof engine. Do not use in newly written code.
• Miscprint Printing of intro_pattern
• Proof
• Proof_bullet
• Refine The primitive refine tactic used to fill the holes in partial proofs. This is the recommended way to write tactics when the proof term is easy to write down. Note that this is not the user-level refine tactic defined in Ltac which is actually based on the one below.
• Tacmach Operations for handling terms under a local typing context.
• Tactypes Tactic-related types that are not totally Ltac specific and still used in lower API. It's not clear whether this is a temporary API or if this is meant to stay.

Library coq-core.stm

• AsyncTaskQueue
• CoqworkmgrApi
• Dag
• Partac
• ProofBlockDelimiter
• Spawned
• Stm state-transaction-machine interface
• Stmargs
• TQueue
• Vcs
• Vio_checking
• WorkerPool

Library coq-core.sysinit

• Coqargs
• Coqinit Main etry point to the sysinit component, all other modules are private.
• Coqloadpath
• Usage

Library coq-core.tactics

• Abstract
• Auto This files implements auto and related automation tactics
• Autorewrite This files implements the autorewrite tactic.
• Btermdn Discrimination nets with bounded depth.
• Cbn
• Class_tactics This files implements typeclasses eauto
• Contradiction
• DeclareScheme
• Dn
• Dnet Generic discrimination net implementation over recursive types. This module implements a association data structure similar to tries but working on any types (not just lists). It is a term indexing datastructure, a generalization of the discrimination nets described for example in W.W.McCune, 1992, related also to generalized tries Hinze, 2000.
• Eauto
• Elim Eliminations tactics.
• Elimschemes Induction/recursion schemes
• Eqdecide
• Eqschemes This file builds schemes relative to equality inductive types
• Equality
• Genredexpr Reduction expressions
• Hints
• Hipattern High-order patterns
• Ind_tables This module provides support for registering inductive scheme builders, declaring schemes and generating schemes on demand
• Inv
• Ppred
• Redexpr Interpretation layer of redexprs such as hnf, cbv, etc.
• Redops
• Tacticals
• Tactics Main tactics defined in ML. This file is huge and should probably be split in more reasonable units at some point. Because of its size and age, the implementation features various styles and stages of the proof engine. This has to be uniformized someday.
• Term_dnet Dnets on constr terms.

Library coq-core.top_printers

• Top_printers Printers for the ocaml toplevel.

Library coq-core.toplevel

• Ccompile
• Coqc
• Coqcargs
• Coqloop The Coq toplevel loop.
• Coqrc
• Coqtop Definition of custom toplevels. init_extra is used to do custom initialization run launches a custom toplevel.
• G_toplevel
• Vernac
• WorkerLoop

Library coq-core.vernac

• Assumptions
• Attributes
• Auto_ind_decl This file is about the automatic generation of schemes about decidable equality,
• Canonical
• Classes Instance declaration
• ComArguments
• ComAssumption
• ComCoercion Classes and coercions.
• ComDefinition
• ComFixpoint
• ComHints
• ComInductive
• ComPrimitive
• ComProgramFixpoint
• ComSearch
• ComTactic
• DebugHook Ltac debugger interface; clients should register hooks to interact with their provided interface.
• Declare This module provides the functions to declare new variables, parameters, constants and inductive types in the global environment. It also updates some accesory tables such as Nametab (name resolution), Impargs, and Notations.
• DeclareInd Registering a mutual inductive definition together with its associated schemes
• DeclareUctx
• DeclareUniv
• Declaremods
• Egramcoq Mapping of grammar productions to camlp5 actions
• Egramml Mapping of grammar productions to camlp5 actions.
• Future
• G_proofs
• G_vernac
• Himsg This module provides functions to explain the type errors.
• Indschemes See also Auto_ind_decl, Indrec, Eqscheme, Ind_tables, ...
• Library This module provides functions to load, open and save libraries. Libraries correspond to the subclass of modules that coincide with a file on disk (the ".vo" files). Libraries on the disk comes with checksums (obtained with the Digest module), which are checked at loading time to prevent inconsistencies between files written at various dates.
• Loadpath * Load paths.
• Locality * Managing locality
• Metasyntax Adding a (constr) notation in the environment
• Mltop
• Opaques
• Ppvernac This module implements pretty-printers for vernac_expr syntactic objects and their subcomponents.
• Prettyp A Pretty-Printer for the Calculus of Inductive Constructions.
• Printmod
• Proof_using Utility code for section variables handling in Proof using...
• Pvernac
• RecLemmas
• Record
• RetrieveObl
• Search
• Topfmt Console printing options
• Vernac_classifier
• Vernacentries
• Vernacexpr
• Vernacextend Vernacular Extension data
• Vernacinterp
• Vernacprop
• Vernacstate

Library coq-core.vm

• Coqrun

Library coqide-server.core

• Document

Library coqide-server.protocol

• Interface * Declarative part of the interface of CoqIDE calls to Coq
• Richpp This module offers semi-structured pretty-printing.
• Serialize
• Xml_lexer
• Xml_parser Xml Light Parser
• Xml_printer
• Xmlprotocol * Applicative part of the interface of CoqIDE calls to Coq

Library derive_plugin

• Derive_plugin

Library extraction_plugin

• Extraction_plugin

Library firstorder_plugin

• Firstorder_plugin

Library funind_plugin

• Funind_plugin

Library ltac2_plugin

• Ltac2_plugin

Library ltac_plugin

• Ltac_plugin

Library micromega_plugin

• Micromega_plugin

Library nsatz_plugin

• Nsatz_plugin

Library number_string_notation_plugin

• Number_string_notation_plugin

Library ring_plugin

• Ring_plugin

Library rtauto_plugin

• Rtauto_plugin

Library ssreflect_plugin

• Ssreflect_plugin

Library ssrmatching_plugin

• Ssrmatching_plugin

Library tauto_plugin

• Tauto_plugin

Library tuto0_plugin

• Tuto0_plugin

Library tuto1_plugin

• Tuto1_plugin

Library tuto2_plugin

• Tuto2_plugin

Library tuto3_plugin

• Tuto3_plugin

Library zify_plugin

• Zify_plugin