package coq-core

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in-package search v0.2.0

The Coq Proof Assistant -- Core Binaries and Tools

Install

md5=66e57ea55275903bef74d5bf36fbe0f1

sha512=1a7eac6e2f58724a3f9d68bbb321e4cfe963ba1a5551b9b011db4b3f559c79be433d810ff262593d753770ee41ea68fbd6a60daa1e2319ea00dff64c8851d70b

module Mc = Micromega_core_plugin.Micromega

Sourcetype ('prf, 'model) res =

Sourcetype zres = (Mc.zArithProof, int * Mc.z list) res

Sourcetype qres = (Mc.q Mc.psatz, int * Mc.q list) res

val q_cert_of_pos : 
  Micromega_core_plugin.Sos_types.positivstellensatz ->
  Mc.q Mc.psatz

q_cert_of_pos prf converts a Sos proof into a rational Coq proof

val z_cert_of_pos : 
  Micromega_core_plugin.Sos_types.positivstellensatz ->
  Mc.z Mc.psatz

z_cert_of_pos prf converts a Sos proof into an integer Coq proof

Sourceval lia : int -> (Mc.z Mc.pExpr * Mc.op1) list -> zres

lia depth sys generates an unsat proof for the linear constraints in sys.

Sourceval nlia : int -> (Mc.z Mc.pExpr * Mc.op1) list -> zres

nlia depth sys generates an unsat proof for the non-linear constraints in sys. The solver is incomplete -- the problem is undecidable

Sourceval linear_prover_with_cert : int -> (Mc.q Mc.pExpr * Mc.op1) list -> qres

linear_prover_with_cert depth sys generates an unsat proof for the linear constraints in sys. Over the rationals, the solver is complete.

Sourceval nlinear_prover : int -> (Mc.q Mc.pExpr * Mc.op1) list -> qres

nlinear depth sys generates an unsat proof for the non-linear constraints in sys. The solver is incompete -- the problem is decidable.