There's currently no hard cap on the supply of PAUL tokens, making it an inflationary token.
Community members often point to this as a cause for concern, and while the chefs certainly understand the wish for a hard cap, there's a big reason we don't expect to set one in the near future:
PAUL's primary function is to incentivize providing liquidity to the exchange. Without block rewards, there would be much less incentive to provide liquidity (LP fees etc. would remain).
The chefs aim to make deflation higher than emission by building deflationary mechanisms into Alien'sFarm products. The goal is for more PAUL to leave circulation than the amount of PAUL that's produced.
By reducing the amount of PAUL made per block, we slow inflation. It will protect early investors and maintain high APY.
The burn mechanism, also, will be built into many others of Alien'sFarm products (like NFT Puzzle), with more on the way.