A week before a scheduled mediation that could fundamentally change the direction of Market Basket , the grocery chain’s executives and directors disagree on just about everything.

That includes what counts as a budget, what was said in specific meetings — even what counts as "a meeting." Both sides accuse the other of outright lies, and neither is shy about making their argument in public.

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The board’s description of Market Basket’s popular chief executive, Arthur T. Demoulas, sounds like a leader it would never hire — and that it may soon fire. The board claims that he has fabricated official meeting records, declined to make executives available to the board and refused to provide budget forecasts.

Demoulas, i

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