The Collaborative International Dictionary of English v.0.48:

Browser \Brows"er\ (brouz"[~e]r), n.
   1. An animal that browses.
      [1913 Webster]

   2. (Computers) a computer program that permits the user to
      view multiple electronic documents in a flexible sequence
      by the process of activating hypertext "buttons" within
      one document, which serves as a reference to the location
      of related document. The term is currently (late 1990's)
      used mostly for programs which allow traversing hypertext
      paths in documents on the internet. A typical browser will
      permit the user to easily reverse direction, and view
      again documents previously accessed.
      [PJC]

WordNet (r) 3.0 (2006):

browser
    n 1: a viewer who looks around casually without seeking anything
         in particular
    2: a program used to view HTML documents [syn: browser, web
       browser]

The Jargon File (version 4.4.7, 29 Dec 2003):

browser
 n.

    A program specifically designed to help users view and navigate hypertext,
    on-line documentation, or a database. While this general sense has been
    present in jargon for a long time, the proliferation of browsers for the
    World Wide Web after 1992 has made it much more popular and provided a
    central or default techspeak meaning of the word previously lacking in
    hacker usage. Nowadays, if someone mentions using a ?browser? without
    qualification, one may assume it is a Web browser.


The Free On-line Dictionary of Computing (30 December 2018):

browser

    A program which allows a person to read
   hypertext.  The browser gives some means of viewing the
   contents of nodes (or "pages") and of navigating from one
   node to another.

   Netscape Navigator, NCSA Mosaic, Lynx, and W3 are
   examples for browsers for the web.  They act as
   clients to remote web servers.

   (1996-05-31)