<PAGE>

                                                                     EXHIBIT 4.1

NEITHER THIS WARRANT NOR THE SECURITIES ISSUABLE UPON EXERCISE HEREOF HAVE BEEN
REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE "1933 ACT") OR THE
SECURITIES LAWS OF ANY STATE; THEREFORE, THIS WARRANT AND THE SECURITIES
ISSUABLE UPON EXERCISE HEREOF MAY NOT BE SOLD OR TRANSFERRED EXCEPT UPON SUCH
REGISTRATION OR UPON DELIVERY TO THE CORPORATION OF AN OPINION OF COUNSEL
SATISFACTORY TO THE CORPORATION THAT REGISTRATION IS NOT REQUIRED FOR SUCH SALE
OR TRANSFER.

                       WARRANT TO PURCHASE COMMON STOCK

                                      OF

               APPLIED VOICE RECOGNITION, INC., d/b/a e-DOCS.net


                         VOID AFTER DECEMBER 31, 2003

          This certifies that LONESTAR MEDICAL TRANSCRIPTION USA, INC., a
Delaware corporation ("Lonestar"), is entitled to purchase Eight Hundred
Thousand (800,000) Shares of fully paid and nonassessable shares of Common
Stock, $0.001 par value (the "Common Stock"), of Applied Voice Recognition,
Inc., a Delaware corporation doing business as e-DOCS.net (the "Company"), at a
price equal to $0.37 per share.  Shares may be purchased at any time, in whole
or in part, until the expiration of this Warrant.  This Warrant is issued
pursuant to that certain Asset Purchase Agreement executed as of even date
herewith and dated as of December 20, 1999 (the "Purchase Agreement"), executed
by and among Lonestar, the Company and certain of their affiliates.  This
Warrant and the Common Stock issuable upon exercise of this Warrant is subject
to the terms of a Registration Rights Agreement dated effective December 20,
1999, between Lonestar and the Company, which agreement provides certain
piggyback and demand registration rights in favor of Lonestar.

          The purchase price per share of Common Stock from time to time in
effect under this Warrant, and the number and character of shares covered
hereby, shall be subject to adjustments from time to time in certain instances
as follows, and the term "Exercise Price" shall mean the price per share
originally set forth in this Warrant or any price resulting from adjustments
pursuant to the terms hereof. The shares of Common Stock deliverable upon such
exercise, and as adjusted from time to time, are hereinafter sometimes referred
to as "Warrant Stock".  The term "Holder" shall refer to Lonestar or any person
or entity holding this Warrant in accordance with the terms hereof.

     (a)  Exercise of Warrant.  Subject to and in accordance with the provisions
hereof, this Warrant may be exercised in whole or in part after the date
appearing above the signature of the Company below (the "Effective Date"), but
not later than 5:00 p.m., Houston time, on December 31, 2003; or if such day is
a day on which United States government offices are closed, then on the next
succeeding day which shall not be such a day, by presentation and surrender
hereof to the Company or at the office of its stock transfer agent, if any, with
the Purchase Form annexed hereto

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duly executed and accompanied by payment of the Exercise Price for the number of
shares specified in such form, together with all applicable federal and state
taxes. If this Warrant should be exercised in part only, the Company shall, upon
surrender of this Warrant for cancellation, execute and deliver a new Warrant
evidencing the right of the Holder to purchase the balance of the shares
purchasable hereunder. Upon receipt by the Company of this Warrant at the office
or agency of the Company, in proper form for exercise and pursuant to compliance
herewith, together with payment of the Exercise Price, the Holder shall be
deemed to be the holder of record, for all purposes, of the shares of Common
Stock issuable upon such exercise, notwithstanding that the stock transfer books
of the Company shall then be closed or that certificates representing such
shares of Common Stock shall not then be actually delivered to the Holder. Upon
receipt of the required deliveries, the Company shall, as promptly as
practicable, and in any event within ten (10) days thereafter, cause to be
issued and delivered to the Holder hereof or the transferee designated in the
Purchase Form a certificate or certificates representing the aggregate number of
full shares of Common Stock issuable upon such exercise registered in the name
of the Holder hereof, or the name of the transferee so designated, as the case
may be.

     (b)  No Impairment.  The Company hereby agrees that (i) at all times there
shall be reserved for issuance and delivery upon exercise of this Warrant such
number of shares of its Common Stock as shall be required for issuance and
delivery upon exercise of this Warrant, and (ii) it will take all action as may
be necessary in order that all shares of stock as may be issued pursuant to this
Warrant shall, upon issuance, be duly and validly issued, fully paid, non-
assessable and free from all taxes, liens and charges with respect to the
issuance thereof.

     (c)  Fractional Shares.  No fractional shares or scrip representing
fractional shares shall be issued upon the exercise of this Warrant.  With
respect to any fraction of a share called for upon any exercise hereof, after
payment of the Exercise Price for such fractional share by the Holder, the
Company shall round the number of shares issued upon the exercise of this
Warrant to the next highest full share.

     (d)  Assignment of Warrant or Warrant Stock or Loss of Warrant.
          ---------------------------------------------------------

          (1)  This Warrant may not be sold, transferred, assigned or
     hypothecated at any time after its execution and delivery, except upon
     compliance with the requirements of this Warrant and any applicable state
     or federal securities laws. The Holder agrees to hold the shares of Common
     Stock of the Company for a period of ninety (90) days after the issuance of
     such shares upon the exercise of this Warrant.

          (2)  Any sale, assignment, transfer or hypothecation of this Warrant
     shall be made by surrender of this Warrant to the Company or at the office
     of its stock transfer agent, if any, with the Assignment Form annexed
     hereto duly executed and accompanied with funds sufficient to pay any
     transfer tax; whereupon, the Company shall, after first receiving such
     evidence as the Company may reasonably require as to compliance with this
     Warrant, without charge, execute and deliver a new Warrant in the name of
     the assignee named in such instrument of assignment and this Warrant shall
     promptly be canceled.

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          (3)  The term "Warrant" as used herein includes any Warrant issued in
     substitution for or replacement of this Warrant.  Upon receipt by the
     Company of evidence of the loss, theft, destruction or mutilation of this
     Warrant, and upon surrender and cancellation of this Warrant, if mutilated,
     the Company will at its expense execute and deliver a new Warrant of like
     tenor and date.  When authorizing the execution and delivery of a new
     Warrant to replace a Warrant lost, stolen or destroyed, the Board of
     Directors of the Company may, in its sole discretion and as a condition
     precedent thereto, require the Holder to deliver an affidavit in a form
     satisfactory to the Board of Directors of the Company and to indemnify the
     Company against any claim that may be made against the Company with respect
     to such lost, stolen or destroyed Warrant.

     (e)  Anti-dilution and Adjustment Provisions. The purchase price per share
of Common Stock from time to time in effect under this Warrant, and the number
and character of shares covered hereby, shall be subject to adjustments from
time to time in certain instances as follows, and the term "Exercise Price"
shall mean the price per share originally set forth in this Warrant or any price
resulting from adjustments pursuant to the terms hereof.

          (1)  In case the Company shall subdivide its outstanding shares of
     Common Stock into a greater number of shares or shall issue in exchange for
     its outstanding shares of Common Stock a greater number of shares of Common
     Stock, then in each such case from and after the record date for such
     subdivision or exchange, the number of shares of Common Stock covered by
     this Warrant shall be increased in proportion to such increase in the
     number of outstanding shares of Common Stock and the Exercise Price then in
     effect shall be correspondingly decreased; and in the case the Company
     shall reduce the number of shares of its Common Stock by a combination of
     shares or shall issue in exchange for its outstanding shares of Common
     Stock a lesser number of shares of Common Stock, then in each such case
     from and after the record date for such combination or exchange, the number
     of shares of Common Stock covered by this Warrant shall be decreased in
     proportion to such reduction in the number of outstanding shares of Common
     Stock, and the then prevailing Exercise Price shall be correspondingly
     increased.

          (2)  In case the Company shall declare and pay a dividend upon its
     Common Stock payable in Common Stock, then in each such case from and after
     the record date for determining the stockholders entitled to receive such
     dividend, the number of shares of Common Stock covered by this Warrant
     shall be increased in proportion to the increase in the number of
     outstanding shares of Common Stock through such stock dividend, and the
     then prevailing Exercise Price shall be correspondingly decreased.

          (3)  In case of any reclassification or change of outstanding shares
     of Common Stock (other than as a result of a subdivision, combination or
     stock dividend) or in case of the consolidation or merger of the Company
     with or into any other corporation (other than a merger in which the
     Company is the continuing corporation and which does not result in any
     reclassification or change in its outstanding shares of Common Stock), or
     in case of any sale by the Company of all or substantially all of its
     assets to another corporation (as determined in accordance with the
     Delaware General Corporation Law), the Holder shall have the right
     thereafter to receive upon exercise of this Warrant the amount and kind of

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     shares of capital stock and other securities and property entitled to be
     received upon such reclassification, change, consolidation, merger or sale
     by a holder of the number of shares of Common Stock of the Company covered
     by this Warrant at the then prevailing Exercise Price, subject to
     subsequent adjustments as provided herein.

     (f)  Notices to Holder.  So long as this Warrant shall be outstanding and
unexercised (i) if the Company shall pay any dividend or make any distribution
upon the Common Stock, or (ii) if any capital reorganization of the Company,
reclassification of the capital stock of the Company, consolidation or merger of
the Company with or into another corporation, sale, lease or transfer of all or
substantially all of the property and assets of the Company to another
corporation (as determined in accordance with Delaware General Corporation Law),
or voluntary or involuntary dissolution, liquidation or winding up of the
Company shall be effected, then, in any such case, the Company shall cause to be
delivered to the Holder, at least ten days prior to the date specified in (x)
and at least thirty days prior to the date specified in (y) below, as the case
may be, a notice containing a brief description of the proposed action and
stating the date on which (x) a record is to be taken for the purpose of such
dividend, distribution or rights, or (y) such reclassification reorganization,
consolidation, merger, conveyance, lease, dissolution, liquidation or winding up
is to take place and at least twenty days prior notice as to the date, if any is
to be fixed, as of which the holders of Common Stock of record shall be entitled
to exchange their shares of Common Stock for securities or other property
deliverable upon such reclassification, reorganization, consolidation, merger,
conveyance, dissolution, liquidation, or winding up.

     (g)  Transfer to Comply with the Securities Act.
          ------------------------------------------

          (1)  This Warrant or the Warrant Stock or any other security issued or
     issuable upon exercise of this Warrant may not be offered or sold except in
     conformity with the Securities Act, and then only against receipt of an
     agreement of such person to whom such offer of sale is made to comply with
     the provisions of this Section (g) with respect to any resale or other
     disposition of such securities.

          (2)  The Company may cause the legends set forth at the top of the
     first page hereof to be set forth on each Warrant and the following legends
     to be set forth on each certificate representing Warrant Stock, unless
     counsel for the Company is of the opinion as to any such certificate that
     such legend is unnecessary:

          THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN
          REGISTERED UNDER THE SECURITIES ACT OF 1933 OR THE OR THE SECURITIES
          LAWS OF ANY STATE.  SUCH SECURITIES MAY NOT BE SOLD OR TRANSFERRED
          EXCEPT UPON SUCH REGISTRATION OR UPON DELIVERY TO THE CORPORATION OF
          AN OPINION OF COUNSEL SATISFACTORY TO THE CORPORATION THAT
          REGISTRATION IS NOT REQUIRED FOR SUCH SALE OR TRANSFER.

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     (h)  Applicable Law.  This Warrant shall be governed by, and construed in
accordance with, the laws of the State of Delaware.

     (i)  Notice. Any notices or certificates by the Company to the Holder and
by the Holder to the Company shall be deemed delivered if in writing and
delivered personally or five (5) days after being sent by certified mail or
registered mail, return receipt requested, to the Holder. For purposes hereof,
the address of the Holder shall be c/o Lernout & Hauspie Speech Products USA,
Inc., 52 Third Avenue, Burlington, Massachusetts 01803, Attention: Chief
Financial Officer, and the address of the Company shall be 1717 St. James Place,
Suite 242, Houston, Texas 77056, Attention: Chief Financial Officer; provided,
however, either address may be changed by notice given in accordance herewith.

     (j)  Nonwaiver.  No course of dealing or any delay or failure to exercise
any right, power or remedy hereunder on the part of the Holder hereof shall
operate as a waiver of or otherwise prejudice such Holder's rights, powers or
remedies.

     (k)  Holder Not a Stockholder.  Prior to the exercise of this Warrant as
hereinbefore provided, the Holder hereof shall not, by virtue of its ownership
of this Warrant, except as specifically provided herein, be entitled to any of
the rights of a stockholder of the Company including, without limitation, the
right as a stockholder to (a) vote on or consent to any proposed action of the
Company, or (b) receive notice of or attend any meetings of stockholders of the
Company or notice of any other proceedings of the Company.

     (l)  Successors and Assigns.  This Warrant and the rights evidenced hereby
shall inure to the benefit of and be binding upon the successors and assigns of
the Company, the Holder hereof and the Holder of the shares of Common Stock
issued upon the exercise hereof, and shall be enforceable by any such Holder.

          IN WITNESS WHEREOF, THE COMPANY HAS CAUSED THIS WARRANT TO BE EXECUTED
EFFECTIVE AS OF DECEMBER 20, 1999.

                                 APPLIED VOICE RECOGNITION, INC.,
                                 d/b/a e-DOCS.net

                                 By: _________________________________
                                 Name:________________________________
                                 Title:_______________________________

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                                 PURCHASE FORM

     The undersigned, the Holder of the within Warrant, hereby irrevocably
elects to exercise the purchase rights represented by said Warrant for, and to
purchase thereunder, ________ shares of Common Stock, $0.001 par value per
share, of Applied Voice Recognition, Inc., d/b/a e-DOCS.net and herewith makes
payment of $___________ in cash therefor and requests that the certificates for
such shares be issued in the name of _____________________________________ and
delivered to ________________________________________________, whose address is
_____________________________________________________ and, if such shares shall
not be all of the shares purchasable hereunder, that a new Warrant of like tenor
for the balance of the shares purchasable hereunder be delivered to the
undersigned.


Dated: _________________         _________________________________
                                 Name:____________________________
                                 Title:___________________________

                                 Address:   ______________________
                                            ______________________
                                            ______________________

                                 Social Security
                                 or Tax I.D. No. _________________

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                              ASSIGNMENT IN FULL


     FOR VALUE RECEIVED, ___________________________________ hereby sells,
assigns and transfers unto _______________________________ the within Warrant
and all rights evidenced thereby and does irrevocably constitute and appoint
______________________________, attorney, to transfer the said Warrant on the
books of the within named Company.



Dated: _________________         _________________________________
                                 _________________________________

                                 Address:   ______________________
                                            ______________________
                                            ______________________

                                 Social Security
                                 or Tax I.D. No. _________________

                                       7
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                              PARTIAL ASSIGNMENT


     FOR VALUE RECEIVED, ___________________________________ hereby sells,
assigns and transfers unto ________________________________ a portion of the
within Warrant and the rights evidenced thereby, to wit: the right to purchase
______ shares of Common Stock of Applied Voice Recognition, Inc.,
d/b/a e-DOCS.net and does irrevocably constitute and appoint
_________________________, attorney, to transfer to such extent the said Warrant
on the books of the within named Corporation.


Dated: _________________         _________________________________
                                 _________________________________

                                 Address:  _______________________
                                           _______________________
                                           _______________________

                                 Social Security
                                 or Tax I.D. No. _________________

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