The Collaborative International Dictionary of English v.0.48:

Prosecute \Pros"e*cute\, v. t. [imp. & p. p. Prosecuted; p.
   pr. & vb. n. Prosecuting.] [L. prosecutus, p. p. of
   prosequi to follow, pursue. See Pursue.]
   [1913 Webster]
   1. To follow or pursue with a view to reach, execute, or
      accomplish; to endeavor to obtain or complete; to carry
      on; to continue; as, to prosecute a scheme, hope, or
      claim.
      [1913 Webster]

            I am beloved Hermia;
            Why should not I, then, prosecute my right ? --Shak.
      [1913 Webster]

   2. To seek to obtain by legal process; as, to prosecute a
      right or a claim in a court of law.
      [1913 Webster]

   3. (Law) To pursue with the intention of punishing; to accuse
      of some crime or breach of law, or to pursue for redress
      or punishment, before a legal tribunal; to proceed against
      judicially; as, to prosecute a man for trespass, or for a
      riot.
      [1913 Webster]

            To acquit themselves and prosecute their foes.
                                                  --Milton.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Prosecute \Pros"e*cute\, v. i.
   1. To follow after. [Obs.] --Latimer.
      [1913 Webster]

   2. (Law) To institute and carry on a legal prosecution; as,
      to prosecute for public offenses. --Blackstone.
      [1913 Webster]

WordNet (r) 3.0 (2006):

prosecute
    v 1: conduct a prosecution in a court of law
    2: bring a criminal action against (in a trial); "The State of
       California prosecuted O.J. Simpson" [ant: defend,
       represent]
    3: carry out or participate in an activity; be involved in; "She
       pursued many activities"; "They engaged in a discussion"
       [syn: prosecute, engage, pursue]

Moby Thesaurus II by Grady Ward, 1.0:

89 Moby Thesaurus words for "prosecute":
   abide by, accuse, adhere to, administer, arraign,
   bring action against, bring into court, bring suit,
   bring to justice, bring to trial, carry on, carry out,
   carry through, charge, chase, chivy, complete, conduct, continue,
   discharge, do, dog, drag into court, effect, effectuate, employ,
   enforce, engage in, execute, exercise, fill out, follow,
   follow through, follow up, fulfill, give chase, go after,
   go in for, go into litigation, go on with, go to law, hollo after,
   honor, hound, hunt, implead, implement, indict, law, litigate,
   make, make after, make out, observe, perform, persist, practice,
   promulgate, prosecute at law, pursue, put in force, put in suit,
   put on trial, put through, quest, quest after, raise the hunt,
   render, run after, search, see through, seek, seek in law,
   seek justice, seek out, specialize in, sue, tackle, take on,
   take out after, take to, take to court, take up, transact, try,
   undertake, use, wage, work at